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711.3308 | Non Linear Techniques for Increasing Harvesting Energy from
Piezoelectric and Electromagnetic Micro-Power-Generators | Non-linear techniques are used to optimize the harvested energy from
piezoelectric and electromagnetic generators. This paper introduces an
analytical study for the voltage amplification obtained from these techniques.
The analytical study is experimentally validated using a macro model of
piezoelectric generator. Moreover, the integration influences on these
techniques is studied. Through all the obtained results, a suitable structure
for autonomous microsystems is proposed.
| cs.OH | nonlinear techniques are used to optimize the harvested energy from piezoelectric and electromagnetic generators this paper introduces an analytical study for the voltage amplification obtained from these techniques the analytical study is experimentally validated using a macro model of piezoelectric generator moreover the integration influences on these techniques is studied through all the obtained results a suitable structure for autonomous microsystems is proposed | [['nonlinear', 'techniques', 'are', 'used', 'to', 'optimize', 'the', 'harvested', 'energy', 'from', 'piezoelectric', 'and', 'electromagnetic', 'generators', 'this', 'paper', 'introduces', 'an', 'analytical', 'study', 'for', 'the', 'voltage', 'amplification', 'obtained', 'from', 'these', 'techniques', 'the', 'analytical', 'study', 'is', 'experimentally', 'validated', 'using', 'a', 'macro', 'model', 'of', 'piezoelectric', 'generator', 'moreover', 'the', 'integration', 'influences', 'on', 'these', 'techniques', 'is', 'studied', 'through', 'all', 'the', 'obtained', 'results', 'a', 'suitable', 'structure', 'for', 'autonomous', 'microsystems', 'is', 'proposed']] | [-0.13169281815903056, 0.0358633488467026, -0.04821550253582823, 0.03153785660360304, -0.07561825388037259, -0.11774264073501976, 0.005898960409612055, 0.40011298396284617, -0.26166294651135563, -0.2693650855549744, 0.09081108303600183, -0.24506013252077594, -0.2047055276583821, 0.3265019884029965, -0.01946454518844211, 0.10663761834185274, 0.058737071777974804, 0.01500048812863136, -0.036797635648990905, -0.1674911429299899, 0.2842513250394, 0.08996867577707957, 0.3603271501996214, 0.022935545944150478, 0.16373016970557353, -0.012623216945766694, -0.04219627606549433, 0.044306846718037765, -0.16719976445246074, 0.15933580811150252, 0.2523946910616129, 0.08398314255348865, 0.2489043979513799, -0.4695685479553446, -0.2239124761628253, 0.030828233682624405, 0.09292316697685728, 0.1301073417814064, -0.08175821721531629, -0.27705994999361416, 0.14279408599176105, -0.18791419431744588, -0.093350875265305, -0.11349181641661932, -0.0832817316469219, 0.08420168075503574, -0.30717963528438724, -0.007999864259054737, -0.011745967769197055, 0.06273596801809848, -0.09276069209186567, -0.09268409095054107, -0.003968200332204264, 0.13994997303742576, 0.03666998783222562, -0.04985323889432327, 0.15888787353677408, -0.06156323947352431, -0.14788667697991645, 0.3400490576076129, -0.016517156616799415, -0.21879440564514388, 0.1490603147761985, -0.04428283156206211, -0.059910788383734016, 0.12912712376269084, 0.21217874122694844, 0.10565764184982057, -0.24674238390307726, 0.07207302326273676, 0.022446940795311496, 0.1527282378658475, 0.062415018374662075, -0.006682920343582592, 0.1406459975396357, 0.21835398212784812, -0.008722014104326567, 0.17535548406239185, -0.05051550298323116, -0.03461344691643876, -0.28029878799700075, -0.12080412819271996, -0.20739327084517017, 0.03684490172946382, -0.056311918601360436, -0.10811920430038184, 0.410104617092108, 0.1874635729583956, 0.11041570376763711, 0.028102542051956766, 0.37606067832795875, 0.16431917471899873, 0.058238020743287745, 0.041121702412113784, 0.2786419263002389, 0.1326126672830137, 0.1418913941505173, -0.2494791890365175, 0.056067200237145974, 0.052432885718724086] |
711.3309 | Optimization of Piezoelectric Electrical Generators Powered by Random
Vibrations | This paper compares the performances of a vibrationpowered electrical
generators using PZT piezoelectric ceramic associated to two different power
conditioning circuits. A new approach of the piezoelectric power conversion
based on a nonlinear voltage processing is presented and implemented with a
particular power conditioning circuit topology. Theoretical predictions and
experimental results show that the nonlinear processing technique may increase
the power harvested by a factor up to 4 compared to the Standard optimization
technique. Properties of this new technique are analyzed in particular in the
case of broadband, random vibrations, and compared to those of the Standard
interface.
| cs.OH | this paper compares the performances of a vibrationpowered electrical generators using pzt piezoelectric ceramic associated to two different power conditioning circuits a new approach of the piezoelectric power conversion based on a nonlinear voltage processing is presented and implemented with a particular power conditioning circuit topology theoretical predictions and experimental results show that the nonlinear processing technique may increase the power harvested by a factor up to 4 compared to the standard optimization technique properties of this new technique are analyzed in particular in the case of broadband random vibrations and compared to those of the standard interface | [['this', 'paper', 'compares', 'the', 'performances', 'of', 'a', 'vibrationpowered', 'electrical', 'generators', 'using', 'pzt', 'piezoelectric', 'ceramic', 'associated', 'to', 'two', 'different', 'power', 'conditioning', 'circuits', 'a', 'new', 'approach', 'of', 'the', 'piezoelectric', 'power', 'conversion', 'based', 'on', 'a', 'nonlinear', 'voltage', 'processing', 'is', 'presented', 'and', 'implemented', 'with', 'a', 'particular', 'power', 'conditioning', 'circuit', 'topology', 'theoretical', 'predictions', 'and', 'experimental', 'results', 'show', 'that', 'the', 'nonlinear', 'processing', 'technique', 'may', 'increase', 'the', 'power', 'harvested', 'by', 'a', 'factor', 'up', 'to', '4', 'compared', 'to', 'the', 'standard', 'optimization', 'technique', 'properties', 'of', 'this', 'new', 'technique', 'are', 'analyzed', 'in', 'particular', 'in', 'the', 'case', 'of', 'broadband', 'random', 'vibrations', 'and', 'compared', 'to', 'those', 'of', 'the', 'standard', 'interface']] | [-0.09400587049360896, 0.06547464855188101, -0.044948436348631826, -0.03684635731732454, -0.07628285040906102, -0.14908094350824652, 0.036270739924709895, 0.39979752460398627, -0.2870980947537674, -0.29264046879696476, 0.08937939662323094, -0.2824115109889163, -0.16453180524050115, 0.30620613319981727, -0.08179261970343356, 0.11873574984096683, 0.03170454799744886, -0.009630640997484173, -0.06049527382608935, -0.20811769653342127, 0.21700389857029484, 0.09499357723269117, 0.37410422804232535, 0.005764803244281061, 0.09041999519524194, -0.0553729277603405, -0.005637890428842343, 0.061976724649904315, -0.07366976886545128, 0.170300523173208, 0.22835170329529217, 0.054823499165725, 0.23767720320329225, -0.4489018571246223, -0.20509657240712764, 0.05429481878665458, 0.0724273002994506, 0.06517138356131684, -0.08568063357451297, -0.19570771112951652, 0.11739735913069285, -0.18596673693469504, -0.050184316342677344, -0.06490843588505517, -0.06570221090535681, 0.06799570004426941, -0.30024725794024076, 0.022432879107937065, 0.050932560879353085, 0.04664801367913786, -0.031555245203186866, -0.1273389437533531, 0.007835301868233484, 0.07477008912396695, 0.010251324563815268, -0.011329464623992591, 0.17386232721667313, -0.10803779908311889, -0.1724124514910671, 0.3596898185991749, -0.04604336605935367, -0.16258569476530724, 0.15631401629940866, -0.09669754756422541, -0.08606315345128941, 0.11979545036465236, 0.21922179692684068, 0.06413133252056834, -0.19581618952113636, 0.039233939576361176, 0.038565158805589084, 0.20511247853258835, 0.07456972389529969, 0.021791462124008492, 0.12028221028002421, 0.22293751918681964, 0.024885566050628413, 0.1992650277283734, -0.05807003023441324, -0.019000817752760097, -0.27773670847143633, -0.13047266582545547, -0.18777575497467494, 0.049222659703689754, -0.11255817897044741, -0.12919726476226887, 0.45312686306760486, 0.17367677592802025, 0.15399838759343035, 0.05448439901637048, 0.37454271792751, 0.1373019216764603, 0.062132471039430384, 0.03180692373227674, 0.24406596692759044, 0.1597113659840615, 0.13996268272611131, -0.2529850068775764, 0.022771884346400033, 0.004603109802551491] |
711.331 | Spatially Resolved Spitzer-IRS Spectroscopy of the Central Region of M82 | We present high spatial resolution (~ 35 parsec) 5-38 um spectra of the
central region of M82, taken with the Spitzer Infrared Spectrograph. From these
spectra we determined the fluxes and equivalent widths of key diagnostic
features, such as the [NeII]12.8um, [NeIII]15.5um, and H_2 S(1)17.03um lines,
and the broad mid-IR polycyclic aromatic hydrocarbon (PAH) emission features in
six representative regions and analysed the spatial distribution of these lines
and their ratios across the central region. We find a good correlation of the
dust extinction with the CO 1-0 emission. The PAH emission follows closely the
ionization structure along the galactic disk. The observed variations of the
diagnostic PAH ratios across M82 can be explained by extinction effects, within
systematic uncertainties. The 16-18um PAH complex is very prominent, and its
equivalent width is enhanced outwards from the galactic plane. We interpret
this as a consequence of the variation of the UV radiation field. The EWs of
the 11.3um PAH feature and the H_2 S(1) line correlate closely, and we conclude
that shocks in the outflow regions have no measurable influence on the H_2
emission. The [NeIII]/[NeII] ratio is on average low at ~0.18, and shows little
variations across the plane, indicating that the dominant stellar population is
evolved (5 - 6 Myr) and well distributed. There is a slight increase of the
ratio with distance from the galactic plane of M82 which we attribute to a
decrease in gas density. Our observations indicate that the star formation rate
has decreased significantly in the last 5 Myr. The quantities of dust and
molecular gas in the central area of the galaxy argue against starvation and
for negative feedback processes, observable through the strong extra-planar
outflows.
| astro-ph | we present high spatial resolution 35 parsec 538 um spectra of the central region of m82 taken with the spitzer infrared spectrograph from these spectra we determined the fluxes and equivalent widths of key diagnostic features such as the neii128um neiii155um and h_2 s11703um lines and the broad midir polycyclic aromatic hydrocarbon pah emission features in six representative regions and analysed the spatial distribution of these lines and their ratios across the central region we find a good correlation of the dust extinction with the co 10 emission the pah emission follows closely the ionization structure along the galactic disk the observed variations of the diagnostic pah ratios across m82 can be explained by extinction effects within systematic uncertainties the 1618um pah complex is very prominent and its equivalent width is enhanced outwards from the galactic plane we interpret this as a consequence of the variation of the uv radiation field the ews of the 113um pah feature and the h_2 s1 line correlate closely and we conclude that shocks in the outflow regions have no measurable influence on the h_2 emission the neiiineii ratio is on average low at 018 and shows little variations across the plane indicating that the dominant stellar population is evolved 5 6 myr and well distributed there is a slight increase of the ratio with distance from the galactic plane of m82 which we attribute to a decrease in gas density our observations indicate that the star formation rate has decreased significantly in the last 5 myr the quantities of dust and molecular gas in the central area of the galaxy argue against starvation and for negative feedback processes observable through the strong extraplanar outflows | [['we', 'present', 'high', 'spatial', 'resolution', '35', 'parsec', '538', 'um', 'spectra', 'of', 'the', 'central', 'region', 'of', 'm82', 'taken', 'with', 'the', 'spitzer', 'infrared', 'spectrograph', 'from', 'these', 'spectra', 'we', 'determined', 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711.3311 | Power Processing Circuits for Mems Inertial Energy Scavengers | Inertial energy scavengers are self-contained devices which generate power
from ambient motion, by electrically damping the internal motion of a suspended
proof mass. There are significant challenges in converting the power generated
from such devices to useable form, particularly in micro-engineered variants.
This paper presents approaches to this power conversion requirement, with
emphasis on the cases of electromagnetic and electrostatic transduction.
| cs.OH | inertial energy scavengers are selfcontained devices which generate power from ambient motion by electrically damping the internal motion of a suspended proof mass there are significant challenges in converting the power generated from such devices to useable form particularly in microengineered variants this paper presents approaches to this power conversion requirement with emphasis on the cases of electromagnetic and electrostatic transduction | [['inertial', 'energy', 'scavengers', 'are', 'selfcontained', 'devices', 'which', 'generate', 'power', 'from', 'ambient', 'motion', 'by', 'electrically', 'damping', 'the', 'internal', 'motion', 'of', 'a', 'suspended', 'proof', 'mass', 'there', 'are', 'significant', 'challenges', 'in', 'converting', 'the', 'power', 'generated', 'from', 'such', 'devices', 'to', 'useable', 'form', 'particularly', 'in', 'microengineered', 'variants', 'this', 'paper', 'presents', 'approaches', 'to', 'this', 'power', 'conversion', 'requirement', 'with', 'emphasis', 'on', 'the', 'cases', 'of', 'electromagnetic', 'and', 'electrostatic', 'transduction']] | [-0.14729169177532683, 0.15093456393443658, -0.007927508429303521, -0.02214378123476979, -0.09164138940224027, -0.12284518558470929, -0.0076297245839549626, 0.3640762094835766, -0.2692132027376993, -0.3427707822840722, 0.04028916109418191, -0.2650503891321724, -0.12165001198863153, 0.27143698278814554, -0.09120620971118085, 0.03085368235794003, 0.054626082814466514, -0.014048635379457082, 0.031139179835187606, -0.10990535719778205, 0.25936490959167235, 0.0709857878992792, 0.31961776233720973, 0.045445342914613544, 0.12526824061193917, -0.05217814205603705, -0.008020243387989944, 0.01556042218258195, -0.09418967057050007, 0.15447174224117008, 0.26113523640593544, 0.04232031070688343, 0.26428264443625193, -0.4687964834395002, -0.194159625693545, 0.07520957291126251, 0.12975157844666085, 0.11599441132790668, -0.1601450552030268, -0.2344933496024765, 0.07611447876533035, -0.19666566986773834, -0.0519056682180056, -0.07743923114154672, 0.0346889106526238, 0.06714783766074106, -0.2450278315876351, 0.07915485033681463, 0.09132750223955659, 0.04658172997936118, -0.08389785278017907, -0.08155928116642916, 0.023702636277150423, 0.09356434025694846, 0.06909064143957173, -0.020102103340027273, 0.21133562500329048, -0.16860945316195702, -0.06891074723212934, 0.4259664780292355, -0.006788679326075266, -0.23723187350064945, 0.18197702897376702, -0.08178306677279475, -0.08464606883401266, 0.1341421291781742, 0.21126524136081093, 0.05951613975978899, -0.19135812608922115, 0.0780391103776981, 0.06896731732260497, 0.1701987880572188, 0.11471942729950256, 0.09177956983569216, 0.24937942569128801, 0.17608793625669156, 0.035545113166320884, 0.14295777523619138, -0.019803596689121523, -0.030314317858609996, -0.28979926063205863, -0.1396836484667891, -0.14660885044541516, 0.13585984077854235, 0.005195618294595481, -0.1286176916700406, 0.37097416135299277, 0.15510002461063568, 0.14529586281077783, 0.010492557585315749, 0.41647648655610986, 0.1248284584086877, 0.07073661607125255, 0.08463458191664493, 0.2497972559076963, 0.11678335858799029, 0.14665781212665263, -0.20020467486827956, 0.004003110200502589, 0.024188873678690097] |
711.3312 | Motion-Based Generators for Industrial Applications | Scaling down of electronic systems has generated a large interest in the
research on miniature energy sources. In this paper a closer look is given to
the use of vibration based scavengers in industrial environments, where waste
energy is abundantly available as engine related vibrations or large amplitude
motions. The modeling of mechanical generators resulted in the design and
realization of two prototypes, based on electromagnetic and electrostatic
conversion of energy. Although the prototypes are not yet optimized against
size and efficiency, a power of 0.3 mW has been generated in a 5 Hz motion with
a 0.5 meter amplitude.
| cs.OH | scaling down of electronic systems has generated a large interest in the research on miniature energy sources in this paper a closer look is given to the use of vibration based scavengers in industrial environments where waste energy is abundantly available as engine related vibrations or large amplitude motions the modeling of mechanical generators resulted in the design and realization of two prototypes based on electromagnetic and electrostatic conversion of energy although the prototypes are not yet optimized against size and efficiency a power of 03 mw has been generated in a 5 hz motion with a 05 meter amplitude | [['scaling', 'down', 'of', 'electronic', 'systems', 'has', 'generated', 'a', 'large', 'interest', 'in', 'the', 'research', 'on', 'miniature', 'energy', 'sources', 'in', 'this', 'paper', 'a', 'closer', 'look', 'is', 'given', 'to', 'the', 'use', 'of', 'vibration', 'based', 'scavengers', 'in', 'industrial', 'environments', 'where', 'waste', 'energy', 'is', 'abundantly', 'available', 'as', 'engine', 'related', 'vibrations', 'or', 'large', 'amplitude', 'motions', 'the', 'modeling', 'of', 'mechanical', 'generators', 'resulted', 'in', 'the', 'design', 'and', 'realization', 'of', 'two', 'prototypes', 'based', 'on', 'electromagnetic', 'and', 'electrostatic', 'conversion', 'of', 'energy', 'although', 'the', 'prototypes', 'are', 'not', 'yet', 'optimized', 'against', 'size', 'and', 'efficiency', 'a', 'power', 'of', '03', 'mw', 'has', 'been', 'generated', 'in', 'a', '5', 'hz', 'motion', 'with', 'a', '05', 'meter', 'amplitude']] | [-0.12203281708527357, 0.1474461847357452, -0.035383667279966176, -0.011630355337401851, -0.055506704407744106, -0.0856517651071772, 0.03407383758225478, 0.382266883328557, -0.2042235553264618, -0.3486754006939009, 0.12025475143338554, -0.2884375700354576, -0.05974814838496968, 0.2789892623643391, -0.05272480083629489, 0.05221295254305005, 0.050192947825416924, 0.022664902419783174, -0.006978302607312799, -0.13767193123698235, 0.21763094304827973, 0.1101943088043481, 0.3243335184082389, 0.02016667941119522, 0.12069812481757253, -0.06722294896433595, -0.010269565861672164, 0.001879324009642005, -0.08529280577786266, 0.12371152689214795, 0.25268807968939655, 0.06181918224785477, 0.28818208938464523, -0.4377878654655069, -0.19878394027240576, 0.09836285441822838, 0.11650049401912838, 0.07778277572710067, -0.11000927290646359, -0.21639940620632842, 0.07259383755736053, -0.2047874327376485, -0.1122824345342815, -0.022798360586166383, 0.06218345516361296, 0.06951636247802526, -0.22078937756828965, 0.0492143193166703, 0.016382052041590215, 0.0929198605241254, -0.06556510118301957, -0.11510049549862743, -0.006724093640223146, 0.0947448631352745, 0.011450030100531876, 0.023318233001045883, 0.2008236133493483, -0.13210594708332793, -0.0980665046023205, 0.445453709512949, -0.01770586589933373, -0.1727982482034713, 0.1920998147618957, -0.1328343938058242, -0.11949464161414652, 0.16270333089400082, 0.2243173062358983, 0.05742238486243877, -0.1831388190574944, 0.06034160470881034, 0.056670723089482636, 0.21338650915538893, 0.08810310362139717, 0.055555514526204205, 0.2287982029095292, 0.23853745215339586, 0.015350893619470299, 0.1562415054347366, -0.10656800705939531, -0.03603732972405851, -0.2466799529711716, -0.11512100654188544, -0.1907305231317878, 0.08696504369159812, -0.022743673087679783, -0.12547342905250844, 0.398202382735908, 0.14971852101385594, 0.151499766940251, -0.02961299544200301, 0.32875565949827434, 0.08830103166284971, 0.12187024215236306, 0.07159806511364877, 0.2682432930916548, 0.07735550144221634, 0.1255051859281957, -0.17581813362892718, 0.03289915989502333, -0.028398779868148268] |
711.3313 | Design and Fabrication of a Micro Electrostatic Vibration-to-Electricity
Energy Converter | This paper presents a micro electrostatic vibration-toelectricity energy
converter. For the 3.3 V supply voltage and 1cm2 chip area constraints, optimal
design parameters were found from theoretical calculation and Simulink
simulation. In the current design, the output power is 200 $\mu$W/cm2 for the
optimal load of 8 M\Omega. The device was fabricated in a silicon-on-insulator
(SOI) wafer. Mechanical and electrical measurements were conducted. Residual
particles caused shortage of the variable capacitor and the output power could
not be measured. Device design and fabrication processes are being refined.
| cs.OH | this paper presents a micro electrostatic vibrationtoelectricity energy converter for the 33 v supply voltage and 1cm2 chip area constraints optimal design parameters were found from theoretical calculation and simulink simulation in the current design the output power is 200 muwcm2 for the optimal load of 8 momega the device was fabricated in a silicononinsulator soi wafer mechanical and electrical measurements were conducted residual particles caused shortage of the variable capacitor and the output power could not be measured device design and fabrication processes are being refined | [['this', 'paper', 'presents', 'a', 'micro', 'electrostatic', 'vibrationtoelectricity', 'energy', 'converter', 'for', 'the', '33', 'v', 'supply', 'voltage', 'and', '1cm2', 'chip', 'area', 'constraints', 'optimal', 'design', 'parameters', 'were', 'found', 'from', 'theoretical', 'calculation', 'and', 'simulink', 'simulation', 'in', 'the', 'current', 'design', 'the', 'output', 'power', 'is', '200', 'muwcm2', 'for', 'the', 'optimal', 'load', 'of', '8', 'momega', 'the', 'device', 'was', 'fabricated', 'in', 'a', 'silicononinsulator', 'soi', 'wafer', 'mechanical', 'and', 'electrical', 'measurements', 'were', 'conducted', 'residual', 'particles', 'caused', 'shortage', 'of', 'the', 'variable', 'capacitor', 'and', 'the', 'output', 'power', 'could', 'not', 'be', 'measured', 'device', 'design', 'and', 'fabrication', 'processes', 'are', 'being', 'refined']] | [-0.15509593030871, 0.11414843316861363, -0.013541315936721688, -0.06740844654471635, -0.049735623893739526, -0.23520307780005212, 0.05496906731846244, 0.41610617019495993, -0.24277152795734447, -0.39022225778290004, 0.08991888394785048, -0.2922642693454183, -0.05429200682962357, 0.2643761454843158, -0.09446788559732743, 0.12530101795117696, 0.03409420181645167, -0.08190723064593798, -0.010410679677544638, -0.1644935915409046, 0.174979311365331, 0.1495588898582947, 0.3627513360914363, 0.07607440141484488, 0.11817811476066709, -0.07192383158876192, 0.006708348250465988, 0.0003641305307229591, -0.10368890369440927, 0.0766872989533599, 0.27315269008841975, 0.00942156638213715, 0.23123688326585431, -0.4716287341624022, -0.16244607034334263, 0.034629808820047694, 0.06542897895303403, 0.02854813024574934, -0.087982025885478, -0.2033410734215448, 0.10879521449854554, -0.18604853792592538, -0.05100778675486529, 0.010498294357730205, -0.0037633204984283725, 0.05748977747117711, -0.2784938978431963, 0.0035304767296238, 0.016772599695900153, 0.08477413854399306, -0.06434665578634066, -0.15333128365861295, -0.029249265416373692, 0.08225049617799096, -0.0730707694067035, 0.014864538373902093, 0.3221431262141397, -0.03995793332551541, -0.10608284630227921, 0.2991948262463475, 0.015968530541719046, -0.1593175354389322, 0.06824946638499928, -0.12633950675317887, -0.0341310283077101, 0.1494378218059103, 0.18498553036506352, 0.009201162765452336, -0.23909150985567723, 0.05283093432622399, 0.0850035542125413, 0.23276302656619052, 0.10439006792283942, 0.005770760312199939, 0.20185476035247882, 0.2631611388195631, 0.026035083663584882, 0.1734432134483562, -0.15379729449713797, 0.02631816674879384, -0.2770043275301104, -0.1413162167557667, -0.1615769755024853, 0.08349476261947678, -0.06855130267548132, -0.09689001575163782, 0.41544049203417505, 0.12750020336229786, 0.10376894602357128, 0.01638774512075754, 0.35997131122492776, 0.13340344315064465, 0.10199397675108252, 0.033946245080293265, 0.2814069148044773, 0.1335638729194829, 0.19202224368792634, -0.2171304678723086, 0.06098387625100914, -0.06102634955544111] |
711.3314 | Macro and Micro Scale Electromagnetic Kinetic Energy Harvesting
Generators | This paper is concerned with generators that harvest electrical energy from
the kinetic energy present in the sensor nodes environment. These generators
have the potential to replace or augment battery power which has a limited
lifetime and requires periodic replacement which limits the placement and
application of the sensor node.
| cs.OH | this paper is concerned with generators that harvest electrical energy from the kinetic energy present in the sensor nodes environment these generators have the potential to replace or augment battery power which has a limited lifetime and requires periodic replacement which limits the placement and application of the sensor node | [['this', 'paper', 'is', 'concerned', 'with', 'generators', 'that', 'harvest', 'electrical', 'energy', 'from', 'the', 'kinetic', 'energy', 'present', 'in', 'the', 'sensor', 'nodes', 'environment', 'these', 'generators', 'have', 'the', 'potential', 'to', 'replace', 'or', 'augment', 'battery', 'power', 'which', 'has', 'a', 'limited', 'lifetime', 'and', 'requires', 'periodic', 'replacement', 'which', 'limits', 'the', 'placement', 'and', 'application', 'of', 'the', 'sensor', 'node']] | [-0.15023718301206826, 0.10163248701021076, 0.030957862045615913, -0.046540001186076554, -0.09024747420102358, -0.14101367277093232, 0.09488312315428629, 0.3607807704806328, -0.28388200152665377, -0.34597544841468336, 0.11498536766273901, -0.3099721817299724, -0.07397761730942876, 0.13177266783546657, -0.11938954899087548, 0.024210356399416922, 0.10513595629483462, 0.11911629057489335, 0.02978597446810454, -0.15792368138208984, 0.2899765834445134, 0.1506718665547669, 0.311019123531878, 0.03290078197605908, 0.12658444225788115, -0.002506655007600784, -0.008840152393095196, 0.007585290092974901, -0.09824685326384497, 0.12936036647297441, 0.25846129907062276, 0.06357554659247398, 0.2352329707890749, -0.5137393355742097, -0.25116185028105975, 0.17597527909092606, 0.08662759834900498, 0.054631802076473834, -0.10020668539218605, -0.19672780791297556, 0.13143618373665958, -0.2593634167313576, -0.09285588720813394, -0.023942147195339204, -0.01578379163518548, 0.11377835214138031, -0.26228145902976396, 0.004500559233129024, -0.004301037546247244, 0.025552337849512698, -0.075746288895607, -0.08863132644444704, -0.034138482101261615, 0.15353500600438566, 0.023869042242877184, -0.02326825479976833, 0.17861538836732507, -0.09694743359927088, -0.10866978368721902, 0.35438987575471403, 0.05323409671895206, -0.19379336085170507, 0.17836956358049064, -0.03305252651683986, -0.10131137588061392, 0.1270206273254007, 0.1963514341309201, 0.05989943604916334, -0.21420451071113347, 0.12605845047859476, 0.0776675358612556, 0.14975046575069428, 0.05725691771134734, 0.0810275670979172, 0.17288883333094418, 0.2018383953347802, 0.14208321338985117, 0.13270098017295823, -0.0940462564304471, -0.04989119052886963, -0.26801529759541154, -0.15935909865424036, -0.26556327611207964, 0.09564301136881113, -0.04229742746741977, -0.1462843469157815, 0.42073492689058184, 0.20934318816289305, 0.17462641403079032, 0.03865334522444755, 0.36316874480806294, 0.15892655603587627, 0.09780771488323808, 0.10538801572285593, 0.216310005527921, 0.07473050644155592, 0.19478898726403712, -0.19182609709445386, 0.06610761714167893, -0.002994539914652705] |
711.3315 | Impact of Thermal Behavior on Offset in a High-Q Gyroscope | In this paper, CFD approach is used to simulate the thermal behavior in a
sensitive high-Q gyroscope. The electromagnetically driving wires, in which AC
current flows, are treated as Joule heat sources in the model. We found that
the differences of temperature, pressure and velocity along the driving
direction and transversely across the proof masses increased as the gap height
between the proof mass and top glass became smaller. Local pressure gradient is
expected to possibly enhance the impact of any imperfect led by MEMS processes
or designs on the offset of our tuning fork type gyroscope, which has been
experimentally verified. A device with 200um gap gives a two-third offset down
compared with that of its counterpart with 50um gap.
| cs.OH | in this paper cfd approach is used to simulate the thermal behavior in a sensitive highq gyroscope the electromagnetically driving wires in which ac current flows are treated as joule heat sources in the model we found that the differences of temperature pressure and velocity along the driving direction and transversely across the proof masses increased as the gap height between the proof mass and top glass became smaller local pressure gradient is expected to possibly enhance the impact of any imperfect led by mems processes or designs on the offset of our tuning fork type gyroscope which has been experimentally verified a device with 200um gap gives a twothird offset down compared with that of its counterpart with 50um gap | [['in', 'this', 'paper', 'cfd', 'approach', 'is', 'used', 'to', 'simulate', 'the', 'thermal', 'behavior', 'in', 'a', 'sensitive', 'highq', 'gyroscope', 'the', 'electromagnetically', 'driving', 'wires', 'in', 'which', 'ac', 'current', 'flows', 'are', 'treated', 'as', 'joule', 'heat', 'sources', 'in', 'the', 'model', 'we', 'found', 'that', 'the', 'differences', 'of', 'temperature', 'pressure', 'and', 'velocity', 'along', 'the', 'driving', 'direction', 'and', 'transversely', 'across', 'the', 'proof', 'masses', 'increased', 'as', 'the', 'gap', 'height', 'between', 'the', 'proof', 'mass', 'and', 'top', 'glass', 'became', 'smaller', 'local', 'pressure', 'gradient', 'is', 'expected', 'to', 'possibly', 'enhance', 'the', 'impact', 'of', 'any', 'imperfect', 'led', 'by', 'mems', 'processes', 'or', 'designs', 'on', 'the', 'offset', 'of', 'our', 'tuning', 'fork', 'type', 'gyroscope', 'which', 'has', 'been', 'experimentally', 'verified', 'a', 'device', 'with', '200um', 'gap', 'gives', 'a', 'twothird', 'offset', 'down', 'compared', 'with', 'that', 'of', 'its', 'counterpart', 'with', '50um', 'gap']] | [-0.13479000347289294, 0.15591829261176812, -0.07530050131122866, 0.0032303486383050556, -0.06338520746770476, -0.14442933935764407, 0.05441993268587711, 0.4155784447269499, -0.2564979916792517, -0.33024155679505224, 0.07629978850345351, -0.2657875584261415, -0.06848327272229113, 0.2510276578005003, -0.05084187163363311, 0.02318094917024632, 0.016604755808837898, 0.002008423232281011, -0.03847944114187902, -0.1597987466283943, 0.27030865851143177, 0.07904420377040082, 0.3162053940559868, 0.07075614223164345, 0.08718355685330097, -0.05385319954784941, 0.020809247908913645, 0.03489280464358566, -0.1140697703217897, 0.05600612672346005, 0.19822786511345344, -0.03796090967837752, 0.24792600793317576, -0.40256081890961354, -0.21786093499034273, 0.07389025853500386, 0.121580628428054, 0.10480149497647485, -0.06878427208174205, -0.26385120243172755, 0.057474586196736364, -0.17464525308094395, -0.15683845811800584, -0.0115399272043993, 0.011266226429984835, 0.028736492078212543, -0.2190401519702609, 0.08505200497682922, 0.05911327362799448, 0.07686617390506646, -0.05059952349767612, -0.11353487313979051, -0.03382523354789442, 0.08633754549217064, 0.0390819186250456, 0.06203731909886864, 0.21636911844911655, -0.10978657966826019, -0.09082936877307814, 0.35378856970813155, -0.085470132953064, -0.1538370653221091, 0.18614135042202373, -0.1293682905548052, 0.003385345289899298, 0.11955031327718546, 0.15775898805904118, 0.05682240499275898, -0.14223873528674985, 0.009512097877354077, 0.021862045288363025, 0.21100221671094763, 0.10222036505795339, 0.021531280807473442, 0.2286613988844016, 0.18369582798793788, 0.07459034168061392, 0.16734483632574643, -0.11145222973952085, -0.07443993323875114, -0.2491151441950813, -0.1438318449187993, -0.15649621012382026, 0.03451848047793158, -0.060354539912510545, -0.1493661420584333, 0.3654157411006918, 0.17971746787844486, 0.17919506385060383, -0.0027707805128263942, 0.34505928326244195, 0.11877776202380134, 0.12337012740991209, 0.08452766018434743, 0.2903629784618527, 0.15801382273597228, 0.1472633220370828, -0.26560270897120486, 0.09192441152177813, -0.005870895315931479] |
711.3316 | Scaling Effects for Electromagnetic Vibrational Power Generators | This paper investigates how the power generated by electromagnetic based
vibrational power generators scales with the dimension of the generator. The
effects of scaling on the magnetic fields, the coil parameters and the
electromagnetic damping are presented. An analysis is presented for both
wire-wound coil technology and micro-fabricated coils.
| cs.OH | this paper investigates how the power generated by electromagnetic based vibrational power generators scales with the dimension of the generator the effects of scaling on the magnetic fields the coil parameters and the electromagnetic damping are presented an analysis is presented for both wirewound coil technology and microfabricated coils | [['this', 'paper', 'investigates', 'how', 'the', 'power', 'generated', 'by', 'electromagnetic', 'based', 'vibrational', 'power', 'generators', 'scales', 'with', 'the', 'dimension', 'of', 'the', 'generator', 'the', 'effects', 'of', 'scaling', 'on', 'the', 'magnetic', 'fields', 'the', 'coil', 'parameters', 'and', 'the', 'electromagnetic', 'damping', 'are', 'presented', 'an', 'analysis', 'is', 'presented', 'for', 'both', 'wirewound', 'coil', 'technology', 'and', 'microfabricated', 'coils']] | [-0.17557234218230053, 0.17435083706294216, 0.012641187586194398, -0.03219615614839962, -0.06426349988359274, -0.08058596830054814, -0.06788255253150983, 0.3379316799038527, -0.22035022963750728, -0.2889853346028498, 0.06069501787447846, -0.2557371485294128, -0.12165615473854907, 0.29249575330248595, 0.00840569585941884, 0.0729884416540866, 0.00789492277010363, 0.02937826324178248, 0.010327325354577328, -0.1318798213817027, 0.31202677696259046, 0.17821002036941294, 0.3704886516290052, 0.025532082179371193, 0.14544564731685178, -0.026837609432713717, -0.020772059885214786, 0.03178687690168011, -0.14417298404233797, 0.10967469188071104, 0.19134327081003588, 0.03630303736414989, 0.20250869451128706, -0.48089404871725305, -0.16936923890512398, 0.052708529791205515, 0.10057083816666688, 0.09064519519404489, -0.05094382097726041, -0.2560442645026713, 0.09215228643496426, -0.14997810887514937, -0.10543770058916843, -0.07892723558280541, 0.001705245247909001, 0.10891861213865328, -0.3032774542249283, 0.005114617548426803, 0.07984448467827954, 0.12238137042910165, -0.04104822064388772, -0.10095543578761268, 0.04245446438007817, 0.09915471463511717, 0.0814332188230616, -0.01011107446701855, 0.23688059748739612, -0.12242895746318509, -0.11951410903462342, 0.33055043280390756, 0.024891838070233256, -0.20182056956905492, 0.09492283655634644, -0.14471111548304252, -0.035375154634215394, 0.09906975776717371, 0.18817541474590496, 0.051346938106782584, -0.16816236184225702, 0.09604524668752767, 0.06999186465364633, 0.2047577580170972, 0.038595732824154655, 0.02908086088695088, 0.17288563544957006, 0.17178707347460548, -0.019092932865273075, 0.2008891248403174, -0.12709460960349486, 0.007913823258511874, -0.3126278904703807, -0.1166509975850278, -0.19676132177059746, 0.027532175622823438, -0.08982244271628216, -0.1583227066095082, 0.44840179300125765, 0.15185976136779908, 0.11354529019445181, 0.020135657785802473, 0.39661754299031227, 0.12211440112061646, 0.0782932553592385, 0.09731579164271148, 0.25987490585872103, 0.21090379365415748, 0.12199254916524704, -0.29181105823123027, -0.02370261719298302, 0.0377765609787739] |
711.3317 | A Generic Surface Micromachining Module for Mems Hermetic Packaging at
Temperatures Below 200 degrees C | This paper presents the different processing steps of a new generic surface
micromachining module for MEMS hermetic packaging at temperatures around 180
degrees C based on nickel plating and photoresist sacrificial layers. The
advantages of thin film caps are the reduced thickness and area consumption and
the promise of being a low-cost batch process. Moreover, sealing happens by a
reflow technique, giving the freedom of choosing the pressure and atmosphere
inside the cavity. Sacrificial etch holes are situated above the device
allowing shorter release times compared to the state-of-the-art. With the
so-called over-plating process, small etch holes can be created in the membrane
without the need of expensive lithography tools. The etch holes in the membrane
have been shown to be sufficiently small to block the sealing material to pass
through, but still large enough to enable an efficient release.
| cs.OH | this paper presents the different processing steps of a new generic surface micromachining module for mems hermetic packaging at temperatures around 180 degrees c based on nickel plating and photoresist sacrificial layers the advantages of thin film caps are the reduced thickness and area consumption and the promise of being a lowcost batch process moreover sealing happens by a reflow technique giving the freedom of choosing the pressure and atmosphere inside the cavity sacrificial etch holes are situated above the device allowing shorter release times compared to the stateoftheart with the socalled overplating process small etch holes can be created in the membrane without the need of expensive lithography tools the etch holes in the membrane have been shown to be sufficiently small to block the sealing material to pass through but still large enough to enable an efficient release | [['this', 'paper', 'presents', 'the', 'different', 'processing', 'steps', 'of', 'a', 'new', 'generic', 'surface', 'micromachining', 'module', 'for', 'mems', 'hermetic', 'packaging', 'at', 'temperatures', 'around', '180', 'degrees', 'c', 'based', 'on', 'nickel', 'plating', 'and', 'photoresist', 'sacrificial', 'layers', 'the', 'advantages', 'of', 'thin', 'film', 'caps', 'are', 'the', 'reduced', 'thickness', 'and', 'area', 'consumption', 'and', 'the', 'promise', 'of', 'being', 'a', 'lowcost', 'batch', 'process', 'moreover', 'sealing', 'happens', 'by', 'a', 'reflow', 'technique', 'giving', 'the', 'freedom', 'of', 'choosing', 'the', 'pressure', 'and', 'atmosphere', 'inside', 'the', 'cavity', 'sacrificial', 'etch', 'holes', 'are', 'situated', 'above', 'the', 'device', 'allowing', 'shorter', 'release', 'times', 'compared', 'to', 'the', 'stateoftheart', 'with', 'the', 'socalled', 'overplating', 'process', 'small', 'etch', 'holes', 'can', 'be', 'created', 'in', 'the', 'membrane', 'without', 'the', 'need', 'of', 'expensive', 'lithography', 'tools', 'the', 'etch', 'holes', 'in', 'the', 'membrane', 'have', 'been', 'shown', 'to', 'be', 'sufficiently', 'small', 'to', 'block', 'the', 'sealing', 'material', 'to', 'pass', 'through', 'but', 'still', 'large', 'enough', 'to', 'enable', 'an', 'efficient', 'release']] | [-0.07788141730171126, 0.1493119633600171, -0.02369986166641545, -0.045381322677163265, -0.04240192327038687, -0.1811443866672758, 0.05134060922273093, 0.42221179634681066, -0.2632848730431401, -0.3445529899955225, 0.1289447303677125, -0.260432695052017, -0.051284265660064415, 0.21987057394823797, -0.09569076030923844, 0.061151121995117005, 0.049712527322200994, -0.07857545679510511, -0.04053139754926129, -0.23492277417213214, 0.22984010830987245, 0.12661024095262768, 0.3184291482467553, 0.06803668501766787, 0.09702871592125768, -0.03887089873369274, 0.06050897773192767, -0.012474793984333602, -0.13787376935252074, 0.1293821398008836, 0.24388010352858336, 0.024922343836963283, 0.2480443896685573, -0.5281871690447509, -0.21658284509246298, 0.009443112412842809, 0.14476439102867739, 0.13284719403725948, -0.10827175861227882, -0.21619473659038116, 0.1063986480798867, -0.16749453327154554, -0.11749871607146246, -0.03793622338273328, -0.012429042705904237, 0.0030249186402870167, -0.2444389562307616, -0.010251841008689979, 0.054480262549607444, 0.03869332945587368, -0.02201233824326409, -0.10450972131580757, -0.05802913684491738, 0.10918910875866229, 0.00817783537995834, 0.015523581015173909, 0.2696417100834761, -0.09286321185214325, -0.0034197954404027128, 0.33144461693537, -0.022118966112737445, -0.1333530872043477, 0.20081019082371307, -0.10812936508659568, -0.014920835929299645, 0.2114229422203339, 0.16356257004864352, 0.15136583274056156, -0.1876016710834618, 0.05308410842072138, 0.08410015661544133, 0.20690018791460815, 0.16863981444763837, 0.001122255635400899, 0.24680159587024464, 0.24690639092955444, 0.04287390968186124, 0.17534151385042468, -0.1360103198651506, -0.005587790668908533, -0.2282281842697479, -0.20745178571024495, -0.16237536130352415, 0.035255281034800086, -0.09589082256366546, -0.18468274109851965, 0.33299645750026263, 0.11361771845342525, 0.1693963182356423, -0.0017217916701149812, 0.3226884000728369, 0.012238445460608751, 0.17624361323035262, 0.04382892619322637, 0.2376070258696731, 0.10204702273275865, 0.1396042441116125, -0.17797103774794143, 0.08103280893372868, 0.007588133192453667] |
711.3318 | A Ku-Band Novel Micromachined Bandpass Filter with Two Transmission
Zeros | This paper presents a micromachined bandpass filter with miniature size that
has relatively outstanding performance. A silicon-based eight-order microstrip
bandpass filter is fabricated and measured. A novel design method of the
interdigital filter that can create two transmission zeros is described. The
location of the transmission zeros can be shifted arbitrarily in the stopband.
By adjusting the zero location properly, the filter provides much better skirt
rejection and lower insertion loss than a conventional microstrip interdigital
filter. To reduce the chip size, through-silicon-substrate-via-hole is used.
Good experimental results are obtained.
| cs.OH | this paper presents a micromachined bandpass filter with miniature size that has relatively outstanding performance a siliconbased eightorder microstrip bandpass filter is fabricated and measured a novel design method of the interdigital filter that can create two transmission zeros is described the location of the transmission zeros can be shifted arbitrarily in the stopband by adjusting the zero location properly the filter provides much better skirt rejection and lower insertion loss than a conventional microstrip interdigital filter to reduce the chip size throughsiliconsubstrateviahole is used good experimental results are obtained | [['this', 'paper', 'presents', 'a', 'micromachined', 'bandpass', 'filter', 'with', 'miniature', 'size', 'that', 'has', 'relatively', 'outstanding', 'performance', 'a', 'siliconbased', 'eightorder', 'microstrip', 'bandpass', 'filter', 'is', 'fabricated', 'and', 'measured', 'a', 'novel', 'design', 'method', 'of', 'the', 'interdigital', 'filter', 'that', 'can', 'create', 'two', 'transmission', 'zeros', 'is', 'described', 'the', 'location', 'of', 'the', 'transmission', 'zeros', 'can', 'be', 'shifted', 'arbitrarily', 'in', 'the', 'stopband', 'by', 'adjusting', 'the', 'zero', 'location', 'properly', 'the', 'filter', 'provides', 'much', 'better', 'skirt', 'rejection', 'and', 'lower', 'insertion', 'loss', 'than', 'a', 'conventional', 'microstrip', 'interdigital', 'filter', 'to', 'reduce', 'the', 'chip', 'size', 'throughsiliconsubstrateviahole', 'is', 'used', 'good', 'experimental', 'results', 'are', 'obtained']] | [-0.11342643245824435, 0.0561154691471059, -0.07663740318142966, -0.024602335979743453, -0.09880765121472015, -0.25457635413060026, 0.008371481045379481, 0.5048221400572678, -0.19152264579544576, -0.3369059609563163, 0.10337260370064276, -0.2684072108750933, -0.11954667539273002, 0.22310015224338917, -0.12063384768252229, 0.11720449039503263, 0.0654603908508179, -0.04580257171660327, -0.0510947181100256, -0.19380464179054155, 0.1512051748499023, 0.15601479452563805, 0.34809264607643814, 0.011174806571576032, 0.10955835463089367, -0.011082681241246421, 0.020059227354803616, -0.0018392511266754584, -0.09939037176163663, 0.12240304836605707, 0.26645134041462554, 0.04407109610024798, 0.2761907648044021, -0.3661142343843586, -0.19394235421767395, 0.05086624687943043, 0.18736962131172252, 0.0502289212413467, -0.0544731691165754, -0.25096052252488693, 0.12840559950956468, -0.14731299179198032, -0.1189592521002626, 0.006974933506774433, -0.09102825055505788, 0.02313230633918782, -0.2878571097435576, -0.04962335375210877, 0.028729154194673794, 0.030950231216010753, 0.03120500930019895, -0.16146014431972852, 0.0002397114850496978, 0.07751141466577066, -0.12280509086964086, -0.0011984333343636453, 0.19227601713343953, -0.07340772264882964, -0.08764870619150193, 0.2991169130094768, -0.0804266240848346, -0.21222077044684523, 0.10706671043639228, -0.11546915600578604, 0.060586008792638445, 0.21723454208845755, 0.1545062857167272, 0.057221901341435615, -0.16533481904692696, 0.00999066532268045, -0.015323512324163418, 0.2585652359143904, 0.14960312720105637, 0.06266953039579512, 0.18825005256738303, 0.21627374729952575, 0.08245948725118396, 0.20864663957461213, -0.18450805166568818, -0.004697900033932639, -0.24714925680100247, -0.12359490315953081, -0.20837061257059739, -0.030886943425899475, -0.06719707446977276, -0.1889084338137273, 0.4113397871070866, 0.18993399609822068, 0.20144636586852624, 0.02932908556560117, 0.38031612345007026, 0.17083176841247785, 0.1542930453989571, -0.009944904778738705, 0.2423915933775768, 0.10391378204411503, 0.10460362658741769, -0.21739500056261593, 0.04318432337761428, 0.015585223437820593] |
711.3319 | The Design and Fabrication of Platform Device for Dna Amplification | Thermalcycler were extensively used machine for amplify DNA sample. One of
the major problems in the working time was that it spent most of time for
cooling and heating. In order to improve the efficient, this study presented a
novel method for amplify DNA sample. For this concept, the DNA sample in the
silicon chamber which was pushed by a beam through three temperature regions
around a center and then the DNA segments could be amplified rapidly after 30
cycles. The polymerase chain reaction platform was composed of thin-film
heaters, copper plates, DC powers, and temperature controllers. The
photolithography and bulk etching technologies were utilized to construct the
thin-film heater and DNA reaction chambers. Finally, 1 pound gL 100bp DNA
segment of E. coli K12 was amplified successfully within 36 minutes on this PCR
platform.
| cs.OH | thermalcycler were extensively used machine for amplify dna sample one of the major problems in the working time was that it spent most of time for cooling and heating in order to improve the efficient this study presented a novel method for amplify dna sample for this concept the dna sample in the silicon chamber which was pushed by a beam through three temperature regions around a center and then the dna segments could be amplified rapidly after 30 cycles the polymerase chain reaction platform was composed of thinfilm heaters copper plates dc powers and temperature controllers the photolithography and bulk etching technologies were utilized to construct the thinfilm heater and dna reaction chambers finally 1 pound gl 100bp dna segment of e coli k12 was amplified successfully within 36 minutes on this pcr platform | [['thermalcycler', 'were', 'extensively', 'used', 'machine', 'for', 'amplify', 'dna', 'sample', 'one', 'of', 'the', 'major', 'problems', 'in', 'the', 'working', 'time', 'was', 'that', 'it', 'spent', 'most', 'of', 'time', 'for', 'cooling', 'and', 'heating', 'in', 'order', 'to', 'improve', 'the', 'efficient', 'this', 'study', 'presented', 'a', 'novel', 'method', 'for', 'amplify', 'dna', 'sample', 'for', 'this', 'concept', 'the', 'dna', 'sample', 'in', 'the', 'silicon', 'chamber', 'which', 'was', 'pushed', 'by', 'a', 'beam', 'through', 'three', 'temperature', 'regions', 'around', 'a', 'center', 'and', 'then', 'the', 'dna', 'segments', 'could', 'be', 'amplified', 'rapidly', 'after', '30', 'cycles', 'the', 'polymerase', 'chain', 'reaction', 'platform', 'was', 'composed', 'of', 'thinfilm', 'heaters', 'copper', 'plates', 'dc', 'powers', 'and', 'temperature', 'controllers', 'the', 'photolithography', 'and', 'bulk', 'etching', 'technologies', 'were', 'utilized', 'to', 'construct', 'the', 'thinfilm', 'heater', 'and', 'dna', 'reaction', 'chambers', 'finally', '1', 'pound', 'gl', '100bp', 'dna', 'segment', 'of', 'e', 'coli', 'k12', 'was', 'amplified', 'successfully', 'within', '36', 'minutes', 'on', 'this', 'pcr', 'platform']] | [-0.06479905548839093, 0.16013657781052223, -0.01833173907718121, -0.026498069669599576, -0.011734781076144705, -0.16785482868010096, 0.0719470321200788, 0.4083528965433587, -0.2650680789496374, -0.29696014061319964, 0.08756041337836729, -0.2749887530869151, -0.07445030981403734, 0.2554184654241066, -0.027885819413462905, 0.0632654142491311, 0.05110668717907853, -0.014759312227451757, 0.053976509384741425, -0.22427975132352493, 0.1795788637306819, 0.12202183481083433, 0.33450450541090165, 0.019104320719254327, 0.1020812960063566, -0.061477990796678324, 0.02168836008840755, -0.014306750391790671, -0.15554388317675025, 0.08852810533578272, 0.2938094573962474, 0.06193176209544346, 0.25922542895579626, -0.5057211030864199, -0.20863342347360259, 0.06898346216654155, 0.15723258456034558, 0.12486301379455532, -0.0647181892227173, -0.22564882443481082, 0.10897931739177082, -0.1436656506926711, -0.08948593220061887, 0.0013004648650139779, 0.042965810573014775, 0.01969956506717839, -0.21534937725892403, 0.002026115412087138, 0.013730308996027408, 0.07569299008586068, -0.044725851630166506, -0.10517763742419488, 0.0001035431928154248, 0.10735578991736827, 0.010482891077008932, 0.054967465875201175, 0.29008936651794714, -0.037958458873943716, -0.09845034351030281, 0.30234264244617365, -0.037576792545305174, -0.10091603144919917, 0.14833350758652078, -0.11135233131692564, -0.06640409097534174, 0.19893003189797276, 0.16579056858543806, 0.1300390051511019, -0.22417567940011843, 0.01519079817547602, 0.07373189851454869, 0.19701143030473378, 0.17764584156649826, -0.07423833894731004, 0.19451893607515897, 0.2501029808129837, 0.00673942233491411, 0.1826874373103631, -0.16079112985901145, -0.03119692046528877, -0.20690916825534164, -0.21628392719899986, -0.13405084239541373, 0.035512034343416564, -0.0462713399966058, -0.1359333253548995, 0.3917757892675364, 0.08282787286492097, 0.12262998093197595, -0.025159057999271275, 0.2730596861385031, 0.010267391050262238, 0.15196583463129268, 0.026483686802450068, 0.21394731043559959, 0.13430485683806073, 0.15314953767741446, -0.25121320174909684, 0.07382080882766855, 0.03560166444573829] |
711.332 | Design and Modeling of a Mems-Based Valveless Pump Driven by an
Electromagnetic Force | A novel valveless micro impedance pump is proposed and analyzed in this
study.
| cs.OH | a novel valveless micro impedance pump is proposed and analyzed in this study | [['a', 'novel', 'valveless', 'micro', 'impedance', 'pump', 'is', 'proposed', 'and', 'analyzed', 'in', 'this', 'study']] | [-0.15697908817002407, 0.0767151415348053, -0.06422195454629567, -0.06991621823265003, -0.03967480637276402, -0.18937395896332768, 0.0007758915710907716, 0.3948749269430454, -0.1744768341573385, -0.2359056820233281, 0.04822934213063071, -0.18483777086322123, -0.20029617265726513, 0.21332895913376257, -0.156193345068739, 0.09816551151183936, -0.06132994004740165, -0.05258053383575036, 0.038964444699768834, -0.04398324340581894, 0.2086206955405382, 0.04481121553824498, 0.432201790695007, 0.09974180720746517, 0.19052584648418885, -0.03071197229795731, 0.005061031390841191, 0.04778353268137345, -0.1656560583326679, 0.09551303081500989, 0.28949656738684726, 0.012099859233085927, 0.29544286257945573, -0.403478521710405, -0.28153567066272867, -0.007557820600385849, 0.060099572802965455, 0.04567266456209696, -0.13819597009569407, -0.2838516552001238, 0.13747236798875606, -0.10550378800298159, -0.05810620422954134, -0.088971691349378, -0.011826037071072139, 0.011411984934686469, -0.2740519872078529, 0.008746023003298502, 0.003800519240590242, 0.08627477388542432, -0.022063642632789336, -0.013691171430624448, 0.04743032873823093, 0.02180424565449357, -0.034567724501427546, -0.03013592458759936, 0.152680294874769, -0.07296199249461867, -0.09800401573570874, 0.32339824908054793, -0.06133191000956755, -0.16951871978548858, 0.12726602158867395, -0.08890214254363225, -0.0076505189331678245, 0.07296851764504726, 0.2608527415790237, 0.13834542559029964, -0.2806988645774814, -0.024399716483178333, -0.06123940761272724, 0.24801163805218843, 0.17982074725799835, -0.03127242553119476, 0.12504795394264734, 0.344739159855705, -0.01123829221782776, 0.2911750338971615, -0.11680271992316613, 0.04636329039931297, -0.23160886346326712, -0.16447557193728593, -0.1952582408602421, 0.028809350342131577, -0.022126136167431608, -0.10758500431592648, 0.48724260238500744, 0.1778673785738647, 0.13900689436839178, -0.05431450216565281, 0.4442686816820732, 0.16148009803146124, 0.011318969110456796, 0.0293790757871018, 0.2531225982193763, 0.16070119778697306, 0.18500606572398773, -0.3287246998471136, -0.055141917089573465, 0.005674036864477854] |
711.3321 | Electrostatic Actuators Operating in Liquid Environment : Suppression of
Pull-in Instability and Dynamic Response | This paper presents results about fabrication and operation of electrostatic
actuators in liquids with various permittivities. In the static mode, we
provide experimental and theoretical demonstration that the pull-in effect can
be shifted beyond one third of the initial gap and even be eliminated when
electrostatic actuators are operated in liquids. This should benefit to
applications in microfluidics requiring either binary state actuation (e.g.
pumps, valves) or continuous displacements over the whole gap (e.g.
microtweezers). In dynamic mode, actuators like micro-cantilevers present a
great interest for Atomic Force Microscopy (AFM) in liquids. As this
application requires a good understanding of the cantilever resonance frequency
and Q-factor, an analytical modeling in liquid environment has been
established. The theoretically derived curves are validated by experimental
results using a nitride encapsulated cantilever with integrated electrostatic
actuation. Electrode potential screening and undesirable electrochemistry in
dielectric liquids are counteracted using AC-voltages. Both experimental and
theoretical results should prove useful in micro-cantilever design for AFM in
liquids.
| cs.OH | this paper presents results about fabrication and operation of electrostatic actuators in liquids with various permittivities in the static mode we provide experimental and theoretical demonstration that the pullin effect can be shifted beyond one third of the initial gap and even be eliminated when electrostatic actuators are operated in liquids this should benefit to applications in microfluidics requiring either binary state actuation eg pumps valves or continuous displacements over the whole gap eg microtweezers in dynamic mode actuators like microcantilevers present a great interest for atomic force microscopy afm in liquids as this application requires a good understanding of the cantilever resonance frequency and qfactor an analytical modeling in liquid environment has been established the theoretically derived curves are validated by experimental results using a nitride encapsulated cantilever with integrated electrostatic actuation electrode potential screening and undesirable electrochemistry in dielectric liquids are counteracted using acvoltages both experimental and theoretical results should prove useful in microcantilever design for afm in liquids | [['this', 'paper', 'presents', 'results', 'about', 'fabrication', 'and', 'operation', 'of', 'electrostatic', 'actuators', 'in', 'liquids', 'with', 'various', 'permittivities', 'in', 'the', 'static', 'mode', 'we', 'provide', 'experimental', 'and', 'theoretical', 'demonstration', 'that', 'the', 'pullin', 'effect', 'can', 'be', 'shifted', 'beyond', 'one', 'third', 'of', 'the', 'initial', 'gap', 'and', 'even', 'be', 'eliminated', 'when', 'electrostatic', 'actuators', 'are', 'operated', 'in', 'liquids', 'this', 'should', 'benefit', 'to', 'applications', 'in', 'microfluidics', 'requiring', 'either', 'binary', 'state', 'actuation', 'eg', 'pumps', 'valves', 'or', 'continuous', 'displacements', 'over', 'the', 'whole', 'gap', 'eg', 'microtweezers', 'in', 'dynamic', 'mode', 'actuators', 'like', 'microcantilevers', 'present', 'a', 'great', 'interest', 'for', 'atomic', 'force', 'microscopy', 'afm', 'in', 'liquids', 'as', 'this', 'application', 'requires', 'a', 'good', 'understanding', 'of', 'the', 'cantilever', 'resonance', 'frequency', 'and', 'qfactor', 'an', 'analytical', 'modeling', 'in', 'liquid', 'environment', 'has', 'been', 'established', 'the', 'theoretically', 'derived', 'curves', 'are', 'validated', 'by', 'experimental', 'results', 'using', 'a', 'nitride', 'encapsulated', 'cantilever', 'with', 'integrated', 'electrostatic', 'actuation', 'electrode', 'potential', 'screening', 'and', 'undesirable', 'electrochemistry', 'in', 'dielectric', 'liquids', 'are', 'counteracted', 'using', 'acvoltages', 'both', 'experimental', 'and', 'theoretical', 'results', 'should', 'prove', 'useful', 'in', 'microcantilever', 'design', 'for', 'afm', 'in', 'liquids']] | [-0.14723186361246138, 0.1552041916070695, -0.06369232902641601, -0.04731452868630489, -0.05046131198203672, -0.203017103523836, 0.030013881083768235, 0.4414980558666793, -0.23356549020669182, -0.30273146583235955, 0.08539312087517795, -0.25751076930981576, -0.15982593103669257, 0.2617088840884865, -0.06093947049347485, 0.11813072398386942, 0.032327959356454654, -0.06953111416700519, -0.00682212316882123, -0.13070945259558517, 0.19085332210931294, 0.042433839062896536, 0.3018059002223817, 0.10652584316935274, 0.09281202466314975, 0.01501002202964382, 0.0812616864096303, 0.05899504110006229, -0.12519592060671816, 0.08888857713285482, 0.33351565365908, -0.050146587125652425, 0.2566168620133972, -0.5320453096602885, -0.22572036250347985, 0.006761361403338049, 0.13006334138925058, 0.1303754600420969, -0.11735699513089498, -0.2791039257247364, 0.04248199076831059, -0.1671030973216062, -0.11678772144687344, -0.1459082970893561, -0.001978893178579567, 0.056357250270490836, -0.2373502917570185, 0.08167093216570434, 0.04013575787279673, 0.11408896098182823, -0.11777246062667256, -0.13877180494725377, 0.04014726978823332, 0.10721263262452763, 0.02704496342804482, -0.00678977998538798, 0.2678110300586705, -0.12334997175735826, -0.11266966798465769, 0.3671943716669701, -0.033778750879467474, -0.188860249353438, 0.19933233706210302, -0.13517995160102328, -0.03078492153025929, 0.12024771183899036, 0.14021081619444978, 0.054096868512097676, -0.17225585347336186, 0.025814289602915222, 0.04993153391069141, 0.2079810521290081, 0.12770330820543072, 0.023078960302115988, 0.24416860596733694, 0.24218736450867318, 0.041803306882392685, 0.1753260210579636, -0.07504720531576811, -0.031076261064963147, -0.2321465449032825, -0.16178165227994792, -0.20049723410655293, 0.015637821459310985, -0.045342643908700915, -0.15555640232145973, 0.35026375122907216, 0.1352298039087803, 0.11172684198596848, -0.03061405838754192, 0.347455168927803, 0.05452599287627605, 0.06560542444997239, -0.033452817413124177, 0.3254694079617097, 0.12483381344819641, 0.1446948682372429, -0.22486901553874872, 0.07490427625722855, -0.020336402662145266] |
711.3322 | Spots, plages, and flares on lambda Andromedae and II Pegasi | We present the results of a contemporaneous photometric and spectroscopic
monitoring of lambda And and II Peg aimed at investigating the behavior of
surface inhomogeneities in the atmospheres of these active stars which have
nearly the same temperature but different gravity. The light curves and the
modulation of the surface temperature, as recovered from LDRs, are used to map
the photospheric spots, while the H-alpha emission has been used as an
indicator of chromospheric inhomogeneities. The spot temperatures and sizes
were derived from a spot model applied to the contemporaneous light and
temperature curves. We find larger and cooler spots on II Peg (T_sp ~ 3600 K)
compared to lambda And (T_sp ~ 3900 K); this could be the result of both the
different gravity and the higher activity level of the former. Moreover, we
find a clear anti-correlation between the H-alpha emission and the photospheric
diagnostics. We have also detected a modulation of the intensity of the HeI D_3
line with the star rotation. A rough reconstruction of the 3D structure of
their atmospheres has been also performed by applying a spot/plage model to the
light and temperature curves and to the H-alpha flux modulation. A close
spatial association of photospheric and chromospheric active regions has been
found in both stars. Larger and cooler spots have been found on II Peg, the
system with the active component of higher gravity and higher activity level.
The area ratio of plages to spots seems to decrease when the spots get bigger.
Moreover, with the present and literature data, a correlation between the
temperature difference Delta_T = T_ph - T_sp and the surface gravity has been
also suggested. In addition, a strong flare affecting the H-alpha, the HeI D_3,
and the cores of NaI D_1,2 lines has been observed on II Peg.
| astro-ph | we present the results of a contemporaneous photometric and spectroscopic monitoring of lambda and and ii peg aimed at investigating the behavior of surface inhomogeneities in the atmospheres of these active stars which have nearly the same temperature but different gravity the light curves and the modulation of the surface temperature as recovered from ldrs are used to map the photospheric spots while the halpha emission has been used as an indicator of chromospheric inhomogeneities the spot temperatures and sizes were derived from a spot model applied to the contemporaneous light and temperature curves we find larger and cooler spots on ii peg t_sp 3600 k compared to lambda and t_sp 3900 k this could be the result of both the different gravity and the higher activity level of the former moreover we find a clear anticorrelation between the halpha emission and the photospheric diagnostics we have also detected a modulation of the intensity of the hei d_3 line with the star rotation a rough reconstruction of the 3d structure of their atmospheres has been also performed by applying a spotplage model to the light and temperature curves and to the halpha flux modulation a close spatial association of photospheric and chromospheric active regions has been found in both stars larger and cooler spots have been found on ii peg the system with the active component of higher gravity and higher activity level the area ratio of plages to spots seems to decrease when the spots get bigger moreover with the present and literature data a correlation between the temperature difference delta_t t_ph t_sp and the surface gravity has been also suggested in addition a strong flare affecting the halpha the hei d_3 and the cores of nai d_12 lines has been observed on ii peg | [['we', 'present', 'the', 'results', 'of', 'a', 'contemporaneous', 'photometric', 'and', 'spectroscopic', 'monitoring', 'of', 'lambda', 'and', 'and', 'ii', 'peg', 'aimed', 'at', 'investigating', 'the', 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711.3323 | Au-SN Flip-Chip Solder Bump for Microelectronic and Optoelectronic
Applications | As an alternative to the time-consuming solder pre-forms and pastes currently
used, a co-electroplating method of eutectic Au-Sn alloy was used in this
study. Using a co-electroplating process, it was possible to plate the Au-Sn
solder directly onto a wafer at or near the eutectic composition from a single
solution. Two distinct phases, Au5Sn and AuSn, were deposited at a composition
of 30at.%Sn. The Au-Sn flip-chip joints were formed at 300 and 400 degrees
without using any flux. In the case where the samples were reflowed at 300
degrees, only an (Au,Ni)3Sn2 IMC layer formed at the interface between the
Au-Sn solder and Ni UBM. On the other hand, two IMC layers, (Au,Ni)3Sn2 and
(Au,Ni)3Sn, were found at the interfaces of the samples reflowed at 400
degrees. As the reflow time increased, the thickness of the (Au,Ni)3Sn2 and
(Au,Ni)3Sn IMC layers formed at the interface increased and the eutectic
lamellae in the bulk solder coarsened.
| cs.OH | as an alternative to the timeconsuming solder preforms and pastes currently used a coelectroplating method of eutectic ausn alloy was used in this study using a coelectroplating process it was possible to plate the ausn solder directly onto a wafer at or near the eutectic composition from a single solution two distinct phases au5sn and ausn were deposited at a composition of 30atsn the ausn flipchip joints were formed at 300 and 400 degrees without using any flux in the case where the samples were reflowed at 300 degrees only an auni3sn2 imc layer formed at the interface between the ausn solder and ni ubm on the other hand two imc layers auni3sn2 and auni3sn were found at the interfaces of the samples reflowed at 400 degrees as the reflow time increased the thickness of the auni3sn2 and auni3sn imc layers formed at the interface increased and the eutectic lamellae in the bulk solder coarsened | [['as', 'an', 'alternative', 'to', 'the', 'timeconsuming', 'solder', 'preforms', 'and', 'pastes', 'currently', 'used', 'a', 'coelectroplating', 'method', 'of', 'eutectic', 'ausn', 'alloy', 'was', 'used', 'in', 'this', 'study', 'using', 'a', 'coelectroplating', 'process', 'it', 'was', 'possible', 'to', 'plate', 'the', 'ausn', 'solder', 'directly', 'onto', 'a', 'wafer', 'at', 'or', 'near', 'the', 'eutectic', 'composition', 'from', 'a', 'single', 'solution', 'two', 'distinct', 'phases', 'au5sn', 'and', 'ausn', 'were', 'deposited', 'at', 'a', 'composition', 'of', '30atsn', 'the', 'ausn', 'flipchip', 'joints', 'were', 'formed', 'at', '300', 'and', '400', 'degrees', 'without', 'using', 'any', 'flux', 'in', 'the', 'case', 'where', 'the', 'samples', 'were', 'reflowed', 'at', '300', 'degrees', 'only', 'an', 'auni3sn2', 'imc', 'layer', 'formed', 'at', 'the', 'interface', 'between', 'the', 'ausn', 'solder', 'and', 'ni', 'ubm', 'on', 'the', 'other', 'hand', 'two', 'imc', 'layers', 'auni3sn2', 'and', 'auni3sn', 'were', 'found', 'at', 'the', 'interfaces', 'of', 'the', 'samples', 'reflowed', 'at', '400', 'degrees', 'as', 'the', 'reflow', 'time', 'increased', 'the', 'thickness', 'of', 'the', 'auni3sn2', 'and', 'auni3sn', 'imc', 'layers', 'formed', 'at', 'the', 'interface', 'increased', 'and', 'the', 'eutectic', 'lamellae', 'in', 'the', 'bulk', 'solder', 'coarsened']] | [-0.05384295287725775, 0.16401501088169543, -0.046015567114564025, -0.05658740495035548, 0.014783148112909577, -0.12379661075403395, 0.05028042019199149, 0.4051019756414858, -0.2833184212458884, -0.3243003197483161, 0.08817882210469241, -0.3352710102830513, -0.051978572990846676, 0.13635364563052296, 0.035565813129045526, 0.006371992830263108, -0.0024716430272412847, -0.006461329846864655, -0.09159417577178161, -0.1914777959250294, 0.25903055658025453, 0.08153819071357044, 0.3062958243702139, 0.046290407833155425, 0.11748660490119538, -0.009495966757337252, 0.07456914594612357, 0.0048612341202390035, -0.143504558302158, 0.04267274655344687, 0.20726073813010135, -0.052715003918096116, 0.1864060344836567, -0.485268682627907, -0.1750717033777817, -0.02667134151584944, 0.089254944246313, 0.04532401618028224, -0.03180024853106081, -0.245279639856383, 0.11609898448041102, -0.08639052447223035, -0.09326497704538257, 0.07302547447687509, -0.042476232296654155, -0.021760396835977074, -0.24781494266765358, 0.031132280630167243, 0.025845651071341263, 0.10683940077789736, -0.06682687345575415, -0.16703444836521839, -0.11646228511673225, 0.10228240863280688, -0.004756992866742887, 0.05084470126042966, 0.21055122969203255, -0.07259481835343755, -0.023801804539196347, 0.3235714560260578, -0.027198852191926266, -0.12706080827938052, 0.2664923879736084, -0.10326340373181406, -0.05475481266162174, 0.2081071554562774, 0.14045493245809054, 0.13417636012645806, -0.17583322589646797, 0.0026357072982842065, 0.03615461078909587, 0.2001954964267052, 0.16764273565756727, -0.06171560303947958, 0.21523642001774948, 0.2210957653009567, -0.02668070362652747, 0.1781622788486337, -0.17099440787589418, 0.007240305388216436, -0.21065111059163297, -0.21082387323060459, -0.1757070340681821, -0.020253825893144117, -0.09325392132707741, -0.15783656773879667, 0.3354584574778596, 0.06637669896602402, 0.1945913400244424, -0.025991442885731353, 0.24263279025956075, 0.004018382674564613, 0.1439233545505372, 0.04486277849622527, 0.24082299344697777, 0.11038953423037567, 0.1639749763413098, -0.175162850392881, 0.14718733508881104, 0.03431303607819437] |
711.3324 | Contactless Thermal Characterization Method of PCB-s Using an IR Sensor
Array | In this paper the feasibility study of an IR sensor card is presented. The
methodology and the results of a quasi real-time thermal characterization tool
and method for the temperature mapping of circuits and boards based on sensing
the infrared radiation is introduced. With the proposed method the IR
radiation-distribution of boards from the close proximity of the sensor card is
monitored in quasi real-time. The proposed method is enabling in situ IR
measurement among operating cards of a system e.g. in a rack.
| cs.OH | in this paper the feasibility study of an ir sensor card is presented the methodology and the results of a quasi realtime thermal characterization tool and method for the temperature mapping of circuits and boards based on sensing the infrared radiation is introduced with the proposed method the ir radiationdistribution of boards from the close proximity of the sensor card is monitored in quasi realtime the proposed method is enabling in situ ir measurement among operating cards of a system eg in a rack | [['in', 'this', 'paper', 'the', 'feasibility', 'study', 'of', 'an', 'ir', 'sensor', 'card', 'is', 'presented', 'the', 'methodology', 'and', 'the', 'results', 'of', 'a', 'quasi', 'realtime', 'thermal', 'characterization', 'tool', 'and', 'method', 'for', 'the', 'temperature', 'mapping', 'of', 'circuits', 'and', 'boards', 'based', 'on', 'sensing', 'the', 'infrared', 'radiation', 'is', 'introduced', 'with', 'the', 'proposed', 'method', 'the', 'ir', 'radiationdistribution', 'of', 'boards', 'from', 'the', 'close', 'proximity', 'of', 'the', 'sensor', 'card', 'is', 'monitored', 'in', 'quasi', 'realtime', 'the', 'proposed', 'method', 'is', 'enabling', 'in', 'situ', 'ir', 'measurement', 'among', 'operating', 'cards', 'of', 'a', 'system', 'eg', 'in', 'a', 'rack']] | [-0.10829039415658777, 0.021396860571652482, -0.08160550135232687, -0.032532368810477115, -0.0027645092839038514, -0.13841372156650367, 0.068777559808994, 0.3985379397510046, -0.22862949478159467, -0.31664333004414674, 0.14685619285285292, -0.2960998083195503, -0.16144315271178283, 0.26367596360428414, -0.08645339919456158, 0.0746300418648016, 0.03236193606540202, 0.038132082881316184, -0.01842732545751405, -0.20676158237304673, 0.2838323291234044, 0.10640196080308363, 0.32420707740877047, 0.04796133458569466, 0.10606339818472604, 0.050248500394511474, -0.07052049633250179, 0.012115685721573207, -0.0730317961228226, 0.12818497754296804, 0.22209831169548344, 0.10294636450595705, 0.266890268995853, -0.4135009040494999, -0.12610614806952247, 0.06671960956518011, 0.052771701076852036, 0.04305400467107454, -0.10498253594528524, -0.28211720027478343, 0.10566763878598001, -0.1807089134803917, -0.1099008068565773, -0.011229369912790247, -0.037161520575678134, 0.02128558507166713, -0.2879608532481165, -0.025723967263587267, 0.0030007010581061602, 0.08238650580688593, -0.06435946664627058, -0.03686816626121795, 0.021030343418200332, 0.14080716120864611, -0.059479784349495746, 0.0017975632308881327, 0.16926732035465988, -0.1169689564617822, -0.13480975948756627, 0.3574506660631622, -0.0268590140902628, -0.11193322317383017, 0.18711707430487745, -0.09667171982217984, -0.10005009811124708, 0.12299354304840047, 0.16769496940570064, 0.1352244071825127, -0.2132252228883914, 0.08051730610825772, -0.02197292218186769, 0.19275352285602634, 0.03365684130666665, 0.04858104552490165, 0.20485646695639176, 0.24609117683427162, 0.060590956169348884, 0.18845981337320822, -0.15412897740894682, -0.03584905470306256, -0.25122811272740364, -0.18827194066336714, -0.2189516917499433, -0.01760101771677833, -0.05800479649953931, -0.1519345981125013, 0.399609079965985, 0.19827371784654188, 0.1270511676389051, -0.023212378788515026, 0.3909110523317099, 0.09431741274444454, 0.10349977284624994, 0.03127515740434538, 0.2103520446984344, 0.1054471095053322, 0.17920961669163712, -0.23272416408241065, 0.017761701504778432, 0.0573846568544227] |
711.3325 | Miniaturized Fluorescence Excitation Platform with Optical Fiber for
Bio-Detection Chips | This paper presents a new research study on the platform fabrication of
fluorescence bio-detection chip with an optical fiber transmission. Anisotropic
wet etching on (100) silicon wafers to fabrication V-groove for optical fiber
alignment and micro-mirror were included. Combing with anodic bonding technique
to adhere glass, silicon structure and optical fiber for a fluorescence
excitation platform was completed. In this study, the etching solution 40% KOH
was used to study the parameters effect. The results show that working
temperature is the main parameter to significantly effect the etch rate. The
anisotropic etching resulted 54.7 degrees reflective mirrors and its
reflectivity for optical beam were also examined. The surface roughness of the
micro-mirror is Ra 4.1 nm measured using AFM, it provides excellent optical
reflection. The incident light and beam profiles were also examined for further
study. This study can show this micro-platform adaptable for fluorescence
bio-detection.
| cs.OH | this paper presents a new research study on the platform fabrication of fluorescence biodetection chip with an optical fiber transmission anisotropic wet etching on 100 silicon wafers to fabrication vgroove for optical fiber alignment and micromirror were included combing with anodic bonding technique to adhere glass silicon structure and optical fiber for a fluorescence excitation platform was completed in this study the etching solution 40 koh was used to study the parameters effect the results show that working temperature is the main parameter to significantly effect the etch rate the anisotropic etching resulted 547 degrees reflective mirrors and its reflectivity for optical beam were also examined the surface roughness of the micromirror is ra 41 nm measured using afm it provides excellent optical reflection the incident light and beam profiles were also examined for further study this study can show this microplatform adaptable for fluorescence biodetection | [['this', 'paper', 'presents', 'a', 'new', 'research', 'study', 'on', 'the', 'platform', 'fabrication', 'of', 'fluorescence', 'biodetection', 'chip', 'with', 'an', 'optical', 'fiber', 'transmission', 'anisotropic', 'wet', 'etching', 'on', '100', 'silicon', 'wafers', 'to', 'fabrication', 'vgroove', 'for', 'optical', 'fiber', 'alignment', 'and', 'micromirror', 'were', 'included', 'combing', 'with', 'anodic', 'bonding', 'technique', 'to', 'adhere', 'glass', 'silicon', 'structure', 'and', 'optical', 'fiber', 'for', 'a', 'fluorescence', 'excitation', 'platform', 'was', 'completed', 'in', 'this', 'study', 'the', 'etching', 'solution', '40', 'koh', 'was', 'used', 'to', 'study', 'the', 'parameters', 'effect', 'the', 'results', 'show', 'that', 'working', 'temperature', 'is', 'the', 'main', 'parameter', 'to', 'significantly', 'effect', 'the', 'etch', 'rate', 'the', 'anisotropic', 'etching', 'resulted', '547', 'degrees', 'reflective', 'mirrors', 'and', 'its', 'reflectivity', 'for', 'optical', 'beam', 'were', 'also', 'examined', 'the', 'surface', 'roughness', 'of', 'the', 'micromirror', 'is', 'ra', '41', 'nm', 'measured', 'using', 'afm', 'it', 'provides', 'excellent', 'optical', 'reflection', 'the', 'incident', 'light', 'and', 'beam', 'profiles', 'were', 'also', 'examined', 'for', 'further', 'study', 'this', 'study', 'can', 'show', 'this', 'microplatform', 'adaptable', 'for', 'fluorescence', 'biodetection']] | [-0.07268712185644384, 0.12099566946602988, -0.06419342816004465, -0.08111993355259042, -0.02075303673647858, -0.19320674179651742, 0.006513805341393012, 0.5272427009097461, -0.20084989671434822, -0.3035752533967125, 0.0781841819616163, -0.28577288059871003, -0.1271407865598027, 0.23744113333523273, -0.05113738828563485, 0.07952226861821617, 0.04727106764430887, -0.14516220513474323, -0.031124165291287777, -0.19565415068465317, 0.21299750680296586, 0.12124011890384657, 0.3743596489396717, 0.11009522842419944, 0.09554408996783453, 0.04446801779920171, 0.006699025496069727, -0.038646905162724954, -0.19435878551333283, 0.12294457486734309, 0.2256862619233414, -0.02485702411624892, 0.18913066554011712, -0.40820077163777474, -0.22047347353594698, -0.014270520531411828, 0.11890628229754431, 0.11336461015141987, -0.10544775093841399, -0.2425124078089821, 0.044343109249041, -0.1184258264328899, -0.14977022656721287, -0.011342931312111464, -0.033018594370063006, 0.010159602335750542, -0.23403056823881344, -0.027840786440506707, 0.010675772317486478, 0.13214095960660227, -0.054111119150184094, -0.0911915120765053, -0.03575836118824523, 0.033762388445180036, -0.07112148993905505, 0.0037559735990161528, 0.2516902335389549, -0.049952373067559355, -0.05141119070126322, 0.3476323897886122, -0.05861938934098801, -0.08174350769981613, 0.1446580692451319, -0.1476366053439741, 0.004118271897033114, 0.19468488533306738, 0.1697542603994752, 0.07900468388989824, -0.19699681397439142, -0.01550373580900888, 0.03268685204073273, 0.24159439741794406, 0.1796838955054509, 0.0411951248337322, 0.1712566722762482, 0.26676921740350923, 0.021627233203115135, 0.1991308360448878, -0.18265343449752905, 0.062492140965407776, -0.20216757291606788, -0.21418207936502737, -0.14625384040048411, 0.06483167497890777, -0.0622192699008557, -0.1406527105718851, 0.3940117301612065, 0.11016610233627003, 0.11378045732091213, -0.028536250796128898, 0.32217746515405077, 0.050443211769492464, 0.09823888999185172, -0.04938038617115596, 0.3250143238246955, 0.16491638448667423, 0.14124051656188635, -0.2522366769676065, 0.04534817002071389, -0.03206519621649179] |
711.3326 | Characterization of Flexible RF Microcoil Dedicated to Surface Mri | In Magnetic Resonance Imaging (MRI), to achieve sufficient Signal to Noise
Ratio (SNR), the electrical performance of the RF coil is critical. We
developed a device (microcoil) based on the original concept of monolithic
resonator. This paper presents the used fabrication process based on
micromoulding. The dielectric substrates are flexible thin films of polymer,
which allow the microcoil to be form fitted to none-plane surface. Electrical
characterizations of the RF coils are first performed and results are compared
to the attempted values. Proton MRI of a saline phantom using a flexible RF
coil of 15 mm in diameter is performed. When the coil is conformed to the
phantom surface, a SNR gain up to 2 is achieved as compared to identical but
planar RF coil. Finally, the flexible coil is used in vivo to perform MRI with
high spatial resolution on a mouse using a small animal dedicated scanner
operating at in a 2.35 T.
| cs.OH | in magnetic resonance imaging mri to achieve sufficient signal to noise ratio snr the electrical performance of the rf coil is critical we developed a device microcoil based on the original concept of monolithic resonator this paper presents the used fabrication process based on micromoulding the dielectric substrates are flexible thin films of polymer which allow the microcoil to be form fitted to noneplane surface electrical characterizations of the rf coils are first performed and results are compared to the attempted values proton mri of a saline phantom using a flexible rf coil of 15 mm in diameter is performed when the coil is conformed to the phantom surface a snr gain up to 2 is achieved as compared to identical but planar rf coil finally the flexible coil is used in vivo to perform mri with high spatial resolution on a mouse using a small animal dedicated scanner operating at in a 235 t | [['in', 'magnetic', 'resonance', 'imaging', 'mri', 'to', 'achieve', 'sufficient', 'signal', 'to', 'noise', 'ratio', 'snr', 'the', 'electrical', 'performance', 'of', 'the', 'rf', 'coil', 'is', 'critical', 'we', 'developed', 'a', 'device', 'microcoil', 'based', 'on', 'the', 'original', 'concept', 'of', 'monolithic', 'resonator', 'this', 'paper', 'presents', 'the', 'used', 'fabrication', 'process', 'based', 'on', 'micromoulding', 'the', 'dielectric', 'substrates', 'are', 'flexible', 'thin', 'films', 'of', 'polymer', 'which', 'allow', 'the', 'microcoil', 'to', 'be', 'form', 'fitted', 'to', 'noneplane', 'surface', 'electrical', 'characterizations', 'of', 'the', 'rf', 'coils', 'are', 'first', 'performed', 'and', 'results', 'are', 'compared', 'to', 'the', 'attempted', 'values', 'proton', 'mri', 'of', 'a', 'saline', 'phantom', 'using', 'a', 'flexible', 'rf', 'coil', 'of', '15', 'mm', 'in', 'diameter', 'is', 'performed', 'when', 'the', 'coil', 'is', 'conformed', 'to', 'the', 'phantom', 'surface', 'a', 'snr', 'gain', 'up', 'to', '2', 'is', 'achieved', 'as', 'compared', 'to', 'identical', 'but', 'planar', 'rf', 'coil', 'finally', 'the', 'flexible', 'coil', 'is', 'used', 'in', 'vivo', 'to', 'perform', 'mri', 'with', 'high', 'spatial', 'resolution', 'on', 'a', 'mouse', 'using', 'a', 'small', 'animal', 'dedicated', 'scanner', 'operating', 'at', 'in', 'a', '235', 't']] | [-0.08903258094819737, 0.09386396326552285, -0.02205504680636759, -0.049352003390357425, -0.07961144000657049, -0.19954067714370824, 0.007396063503346656, 0.44377958563953834, -0.18317225479271287, -0.3036528096041259, 0.07573507318967114, -0.21369928649924938, -0.07717353688382537, 0.26246855378126593, -0.07722994910014391, 0.09710373845245474, 0.04428793825026529, 0.019822595937761898, -0.003234167811552099, -0.16358061025247855, 0.19377571859037857, 0.12506270131972783, 0.3418473088931219, 0.023797097256760193, 0.13905564862534744, -0.0742302478832844, 0.05610677275617966, 0.05662972937502405, -0.16444165143412628, 0.10397234257444544, 0.2730486601274582, 0.04378214091582991, 0.22454609400501438, -0.4922614562526053, -0.1905457750145419, 0.04926920730565078, 0.13740136486392932, 0.05951721231023982, -0.015283255015341626, -0.25021105437399516, 0.14929484589378428, -0.13140222505708926, -0.0838043415413719, -0.036071781991993145, -0.06609806373526701, 0.04032187294093222, -0.3051306069604109, 0.046460303088370104, 0.01355159026874972, 0.12090103398838074, -0.06551522236420876, -0.115181117329223, 0.04005776487863044, 0.09277948069030852, -0.005022654001139945, 0.07397163180129152, 0.24873120779342023, -0.1132709084647811, -0.04896151718951372, 0.2940977189805529, -0.015628455592900686, -0.19444236017724048, 0.17269357049904666, -0.15567723350002874, -0.028044460600035057, 0.20862643767050862, 0.16300192976285235, 0.0746904230962684, -0.17247539754925384, 0.01878568290213878, 0.06427501349594274, 0.24306304111248916, 0.12276510348896576, -0.05047052572146545, 0.16288778663832038, 0.26906954718021725, 0.008167857837119883, 0.2317265222599316, -0.19772828170220105, 0.03752892197176717, -0.20785702820836865, -0.16371460633924584, -0.19280723407118905, 0.051148084331656886, -0.06819092634191441, -0.17671936888892958, 0.3793008026706505, 0.12152535884695895, 0.1634082304149428, 0.015067207245795312, 0.37417003130114157, 0.024765428478656083, 0.10763968016116825, -0.007579584680558517, 0.2652582075032923, 0.17356023657548636, 0.1593426878768928, -0.2046915078383499, 0.0202792815931044, -0.032221799507871074] |
711.3327 | Integration of Micro-Electro-Mechanical Deformable Mirrors in Doped
Fiber Amplifiers | We present a simple technique to produce active Q-switching in various types
of fiber amplifiers by active integration of an electrostatic actuated
deformable metallic micro-mirror. The optical MEMS (MOEMS) device acts as one
of the laser cavity reflectors and, at the same time, as switching/ modulator
element. We aim to obtain laser systems emitting short, high-power pulses and
having variable repetition rate. The electro-mechanical behavior of membrane
(bridge-type) was simulated by using electrostatic and modal 3D finite element
analysis (FEA). The results of the simulations fit well with the experimental
mechanical, electrical and thermal measurements of the components. In order to
decrease the sensitiveness to fiber-mirror alignment we are developing novel
optical devices based on stressed-metal cantilever-type geometry that allow
deflections up to 50 $\mu$m with increased reflectivity discrimination during
actuation.
| cs.OH | we present a simple technique to produce active qswitching in various types of fiber amplifiers by active integration of an electrostatic actuated deformable metallic micromirror the optical mems moems device acts as one of the laser cavity reflectors and at the same time as switching modulator element we aim to obtain laser systems emitting short highpower pulses and having variable repetition rate the electromechanical behavior of membrane bridgetype was simulated by using electrostatic and modal 3d finite element analysis fea the results of the simulations fit well with the experimental mechanical electrical and thermal measurements of the components in order to decrease the sensitiveness to fibermirror alignment we are developing novel optical devices based on stressedmetal cantilevertype geometry that allow deflections up to 50 mum with increased reflectivity discrimination during actuation | [['we', 'present', 'a', 'simple', 'technique', 'to', 'produce', 'active', 'qswitching', 'in', 'various', 'types', 'of', 'fiber', 'amplifiers', 'by', 'active', 'integration', 'of', 'an', 'electrostatic', 'actuated', 'deformable', 'metallic', 'micromirror', 'the', 'optical', 'mems', 'moems', 'device', 'acts', 'as', 'one', 'of', 'the', 'laser', 'cavity', 'reflectors', 'and', 'at', 'the', 'same', 'time', 'as', 'switching', 'modulator', 'element', 'we', 'aim', 'to', 'obtain', 'laser', 'systems', 'emitting', 'short', 'highpower', 'pulses', 'and', 'having', 'variable', 'repetition', 'rate', 'the', 'electromechanical', 'behavior', 'of', 'membrane', 'bridgetype', 'was', 'simulated', 'by', 'using', 'electrostatic', 'and', 'modal', '3d', 'finite', 'element', 'analysis', 'fea', 'the', 'results', 'of', 'the', 'simulations', 'fit', 'well', 'with', 'the', 'experimental', 'mechanical', 'electrical', 'and', 'thermal', 'measurements', 'of', 'the', 'components', 'in', 'order', 'to', 'decrease', 'the', 'sensitiveness', 'to', 'fibermirror', 'alignment', 'we', 'are', 'developing', 'novel', 'optical', 'devices', 'based', 'on', 'stressedmetal', 'cantilevertype', 'geometry', 'that', 'allow', 'deflections', 'up', 'to', '50', 'mum', 'with', 'increased', 'reflectivity', 'discrimination', 'during', 'actuation']] | [-0.12432501152943587, 0.15311343589667104, -0.06087345451305737, -0.08243561415656586, -0.05928826424678846, -0.18510472353591467, 0.02655890365213054, 0.48518444621004164, -0.24826756650145398, -0.33254447526996955, 0.08938346138347697, -0.2644734035602596, -0.10172607982735826, 0.26063634447200457, -0.06306983418835443, 0.10060615790445127, 0.011960231633565854, -0.08288300569074636, 0.0032794161616038764, -0.13195934792020125, 0.198466383269988, 0.08247559611936595, 0.3185100706250523, 0.002054608969046967, 0.15206202208355535, 0.007828563455404947, 0.017478669942647684, -0.013298194618073467, -0.11178646780018653, 0.11739688675152138, 0.2581497929277248, -0.015728275007859338, 0.2256541653732711, -0.4726234001227567, -0.2243692767660832, 0.03250558370928047, 0.10476950501288229, 0.11462191845930647, -0.08244611325767437, -0.24471385124343215, 0.08007118352907128, -0.15831794527184684, -0.13634071729927655, -0.044569438221515156, -0.015145311532251071, 0.10625428686580562, -0.24391973431920633, 0.00896036128688138, 0.026596394712214533, 0.09100813961777021, -0.06683498419954503, -0.04745874094260216, 0.012923147177389183, 0.11124555250808044, -0.03571744017517631, -0.014161420311211259, 0.25242298785451567, -0.08067848146674805, -0.09830198619602015, 0.3392918300378369, -0.07940007718480047, -0.1315462354759802, 0.18493998648045817, -0.13587337661374477, 0.004287358471628977, 0.16910641826871142, 0.19645175122423097, 0.08669069276220398, -0.13107050079997862, -0.031464120436794474, 0.08174749345448618, 0.24350273443087644, 0.11815778830714407, 0.06592815015210363, 0.19338328384037595, 0.2458424775613821, 0.02582130287595419, 0.18623805300194363, -0.13499008373946708, 0.00542166057311988, -0.2772485895138743, -0.1200427461626532, -0.14506119809448137, 0.04898789375056367, -0.09486169603360395, -0.16528390441453666, 0.3982641507318476, 0.11871735030581476, 0.1086709361843532, -0.0011948946576012531, 0.377661301936314, 0.08754599999610946, 0.0946696507598972, -0.018391535868431674, 0.29111216995079303, 0.1649981325904264, 0.12708350776301813, -0.26937502827695425, 0.0023996398558665533, 0.016530305649212096] |
711.3328 | The Atiyah conjecture and Artinian rings | Let G be a group such that its finite subgroups have bounded order, let d
denote the lowest common multiple of the orders of the finite subgroups of G,
and let K be a subfield of C that is closed under complex conjugation. Let U(G)
denote the algebra of unbounded operators affiliated to the group von Neumann
algebra N(G), and let D(KG,U(G)) denote the division closure of KG in U(G);
thus D(KG,U(G)) is the smallest subring of U(G) containing KG that is closed
under taking inverses. Suppose n is a positive integer, and \alpha \in
\Mat_n(KG). Then \alpha induces a bounded linear map \alpha: l^2(G)^n \to
\l^2(G)^n, and \ker\alpha has a well-defined von Neumann dimension \dim_{N(G)}
(\ker\alpha). This is a nonnegative real number, and one version of the Atiyah
conjecture states that d \dim_{N(G)}(\ker\alpha) \in Z. Assuming this
conjecture, we shall prove that if G has no nontrivial finite normal subgroup,
then D(KG,U(G)) is a d \times d matrix ring over a skew field. We shall also
consider the case when G has a nontrivial finite normal subgroup, and other
subrings of U(G) that contain KG.
| math.RA math.KT math.OA | let g be a group such that its finite subgroups have bounded order let d denote the lowest common multiple of the orders of the finite subgroups of g and let k be a subfield of c that is closed under complex conjugation let ug denote the algebra of unbounded operators affiliated to the group von neumann algebra ng and let dkgug denote the division closure of kg in ug thus dkgug is the smallest subring of ug containing kg that is closed under taking inverses suppose n is a positive integer and alpha in mat_nkg then alpha induces a bounded linear map alpha l2gn to l2gn and keralpha has a welldefined von neumann dimension dim_ng keralpha this is a nonnegative real number and one version of the atiyah conjecture states that d dim_ngkeralpha in z assuming this conjecture we shall prove that if g has no nontrivial finite normal subgroup then dkgug is a d times d matrix ring over a skew field we shall also consider the case when g has a nontrivial finite normal subgroup and other subrings of ug that contain kg | [['let', 'g', 'be', 'a', 'group', 'such', 'that', 'its', 'finite', 'subgroups', 'have', 'bounded', 'order', 'let', 'd', 'denote', 'the', 'lowest', 'common', 'multiple', 'of', 'the', 'orders', 'of', 'the', 'finite', 'subgroups', 'of', 'g', 'and', 'let', 'k', 'be', 'a', 'subfield', 'of', 'c', 'that', 'is', 'closed', 'under', 'complex', 'conjugation', 'let', 'ug', 'denote', 'the', 'algebra', 'of', 'unbounded', 'operators', 'affiliated', 'to', 'the', 'group', 'von', 'neumann', 'algebra', 'ng', 'and', 'let', 'dkgug', 'denote', 'the', 'division', 'closure', 'of', 'kg', 'in', 'ug', 'thus', 'dkgug', 'is', 'the', 'smallest', 'subring', 'of', 'ug', 'containing', 'kg', 'that', 'is', 'closed', 'under', 'taking', 'inverses', 'suppose', 'n', 'is', 'a', 'positive', 'integer', 'and', 'alpha', 'in', 'mat_nkg', 'then', 'alpha', 'induces', 'a', 'bounded', 'linear', 'map', 'alpha', 'l2gn', 'to', 'l2gn', 'and', 'keralpha', 'has', 'a', 'welldefined', 'von', 'neumann', 'dimension', 'dim_ng', 'keralpha', 'this', 'is', 'a', 'nonnegative', 'real', 'number', 'and', 'one', 'version', 'of', 'the', 'atiyah', 'conjecture', 'states', 'that', 'd', 'dim_ngkeralpha', 'in', 'z', 'assuming', 'this', 'conjecture', 'we', 'shall', 'prove', 'that', 'if', 'g', 'has', 'no', 'nontrivial', 'finite', 'normal', 'subgroup', 'then', 'dkgug', 'is', 'a', 'd', 'times', 'd', 'matrix', 'ring', 'over', 'a', 'skew', 'field', 'we', 'shall', 'also', 'consider', 'the', 'case', 'when', 'g', 'has', 'a', 'nontrivial', 'finite', 'normal', 'subgroup', 'and', 'other', 'subrings', 'of', 'ug', 'that', 'contain', 'kg']] | [-0.20825405299149535, 0.18040135559050843, -0.09360364237749348, -0.05018162748730574, -0.1059614823866493, -0.17131483697337532, -0.028133838312812354, 0.30555578589673493, -0.32866454979435344, -0.17126102269820542, 0.07706309505165784, -0.29598431315914286, -0.06735011910805937, 0.155679172205184, -0.11285237636406972, -0.09790449896910039, 0.030025861865988438, 0.18912403140970266, -0.09319686763945335, -0.2680917608620385, 0.32797846128868924, -0.11714035748310712, 0.15377831603196843, 0.021446973504625832, 0.09210369251528501, -0.014071141209331204, 0.0200264310779793, 0.04822387492864347, -0.15618931235294836, 0.05202969662747168, 0.2772787343328971, 0.1135345588494194, 0.2955862195002007, -0.3447425130378109, -0.1340847676257282, 0.28878083048500325, 0.1410146525022803, -0.09841159242078092, 0.01833936138857217, -0.2565410757231236, 0.2167078004742825, -0.19454340330615152, -0.1256294358684554, -0.0059656991122056385, 0.20419548399290935, -0.07262636533851832, -0.32616299567642354, 0.022151896797338134, 0.08722158037558646, 0.14924902313699326, -0.020083780776419233, -0.1484616380083105, -0.07612848424866714, 0.046343836817754266, -0.0664805116525042, 0.06735756507848231, 0.06671513299568418, -0.03195387329473644, -0.0920607921207143, 0.3892815464247486, -0.10639862987006725, -0.20736981517141634, 0.07367675153467336, -0.2494379930030249, -0.09503937106391241, 0.0792840804975948, 0.09057351631300697, 0.1338450872247703, -0.012088897909420094, 0.28877938376762524, -0.18860269222876738, 0.11357853890401744, 0.07969193667417666, -0.03544609281272612, 0.12487866147039611, 0.04685176692551887, 0.11006344165643447, 0.1232437445922714, 0.03131953567709224, 0.07704330844005641, -0.36423279805893916, -0.1607132085543024, -0.13964970266991014, 0.19083910345868335, -0.11625497532920032, -0.1795725861940879, 0.3651453713107793, 0.04970591327384155, 0.12400563847772329, 0.09541882355436632, 0.17372658991768875, 0.11441036929310264, 0.07564195596213488, 0.10865206028655415, 0.01723229842861005, 0.2796085358068062, -0.08518440327085453, -0.2007931942893752, 0.008532567267799801, 0.1573066559276363] |
711.3329 | Micro-Ball Lens Array Fabrication in Photoresist Using Ptfe Hydrophobic
Effect | This paper presents a simple method to fabricate micro-ball lens and its
array. The key technology is to use the hydrophobic characteristics of
polyterafluoroethylene (PTFE) substrate. High contact angle between melted
photoresist pattern and PTFE can generate micro-ball lens and its array. PTFE
thin film was spun onto a silicon wafer and dried in oven. Photoresist AZ4620
was used to pattern micro-columns with different diameters 60, 70 and 80
$\mu$m. A thermal reflow process then was applied to melt these micro-column
patterns resulted in micro-ball lens array. The achieved micro-ball lens array
with diameter 98 $\mu$m was fabricated using 80 $\mu$m in diameter patterns.
This method provides a simple fabrication process and low material cost.
| cs.OH | this paper presents a simple method to fabricate microball lens and its array the key technology is to use the hydrophobic characteristics of polyterafluoroethylene ptfe substrate high contact angle between melted photoresist pattern and ptfe can generate microball lens and its array ptfe thin film was spun onto a silicon wafer and dried in oven photoresist az4620 was used to pattern microcolumns with different diameters 60 70 and 80 mum a thermal reflow process then was applied to melt these microcolumn patterns resulted in microball lens array the achieved microball lens array with diameter 98 mum was fabricated using 80 mum in diameter patterns this method provides a simple fabrication process and low material cost | [['this', 'paper', 'presents', 'a', 'simple', 'method', 'to', 'fabricate', 'microball', 'lens', 'and', 'its', 'array', 'the', 'key', 'technology', 'is', 'to', 'use', 'the', 'hydrophobic', 'characteristics', 'of', 'polyterafluoroethylene', 'ptfe', 'substrate', 'high', 'contact', 'angle', 'between', 'melted', 'photoresist', 'pattern', 'and', 'ptfe', 'can', 'generate', 'microball', 'lens', 'and', 'its', 'array', 'ptfe', 'thin', 'film', 'was', 'spun', 'onto', 'a', 'silicon', 'wafer', 'and', 'dried', 'in', 'oven', 'photoresist', 'az4620', 'was', 'used', 'to', 'pattern', 'microcolumns', 'with', 'different', 'diameters', '60', '70', 'and', '80', 'mum', 'a', 'thermal', 'reflow', 'process', 'then', 'was', 'applied', 'to', 'melt', 'these', 'microcolumn', 'patterns', 'resulted', 'in', 'microball', 'lens', 'array', 'the', 'achieved', 'microball', 'lens', 'array', 'with', 'diameter', '98', 'mum', 'was', 'fabricated', 'using', '80', 'mum', 'in', 'diameter', 'patterns', 'this', 'method', 'provides', 'a', 'simple', 'fabrication', 'process', 'and', 'low', 'material', 'cost']] | [-0.06271533962960045, 0.16862915507266046, -0.060847153903933256, -0.1042315829291912, -0.06464415470868148, -0.20485589668356083, 0.03571298705132863, 0.5151876475628432, -0.21837792878651674, -0.38477504492510817, 0.08692276679285643, -0.290303241478296, -0.10280900666708345, 0.17745547141745552, -0.09211540461291333, 0.08435047307441867, 0.049972818350536866, -0.20516336529289145, -0.026438072508909984, -0.2007978412068107, 0.1408186699609851, 0.12299086904346729, 0.3364571660698333, 0.07886137277609459, 0.1691883757861482, -0.02252944304213465, 0.04120908490893943, 0.010026312961771682, -0.1728193778251004, 0.08359117995158911, 0.24075476250292416, -0.024939915333111008, 0.12290911662585295, -0.4083063488863912, -0.16444631197347162, -0.01797207881201495, 0.08659884970945092, 0.07044887345552713, -0.0764897222701997, -0.24934879061136697, 0.1289777327832338, -0.14550677118277563, -0.15798637452996797, 0.06895335635111609, 0.001827392991430856, -0.013948294103904921, -0.19283103290787973, -0.01624716588438631, 0.009661673954142644, 0.08306754093621396, 0.002715126416218039, -0.1411258830177086, -0.027135316440877546, 0.05711425327368685, -0.08129502152698953, 0.06974171523239699, 0.27732491461341985, -0.020699152810528438, -0.018131670621769118, 0.3337348796393689, -0.05266584030159556, -0.12520917310685692, 0.19720626103918296, -0.147738409803358, 0.024660439289233706, 0.2610497703452737, 0.1752390137932322, 0.09228255025841095, -0.19812300410289485, -0.019521279647256255, 0.025066568574926874, 0.2981440446377304, 0.22923321814720962, -0.03983125714230564, 0.27033087130015093, 0.29462787456944717, -0.0209315561706217, 0.24032254332491942, -0.22628961087347152, 0.07234166285677536, -0.11469792638410319, -0.1831590992142656, -0.17140589108237544, 0.0820733766776283, -0.12062083888586049, -0.1700460006994707, 0.3387074876945835, 0.04947367528252102, 0.15326546976837824, -0.008400797239831975, 0.2965469281818416, -0.06414116502147973, 0.14782431252669911, -0.04836321482854383, 0.25146800595092345, 0.1823139671663133, 0.15859152778140417, -0.12439241337480846, 0.0740784953499364, -0.011174405610339867] |
711.333 | Reduced-Order Modelling of the Bending of an Array of Torsional
Micromirrors | Reduced-Order Modelling of the Bending of an Array of An array of
micromirrors for beam steering optical switching has been designed in a thick
polysilicon technology. A novel semi-analytical method to calculate the static
characteristics of the micromirrors by taking into account the flexural
deformation of the structure is presented. The results are compared with 3D
coupled-field FEM simulation.
| cs.OH | reducedorder modelling of the bending of an array of an array of micromirrors for beam steering optical switching has been designed in a thick polysilicon technology a novel semianalytical method to calculate the static characteristics of the micromirrors by taking into account the flexural deformation of the structure is presented the results are compared with 3d coupledfield fem simulation | [['reducedorder', 'modelling', 'of', 'the', 'bending', 'of', 'an', 'array', 'of', 'an', 'array', 'of', 'micromirrors', 'for', 'beam', 'steering', 'optical', 'switching', 'has', 'been', 'designed', 'in', 'a', 'thick', 'polysilicon', 'technology', 'a', 'novel', 'semianalytical', 'method', 'to', 'calculate', 'the', 'static', 'characteristics', 'of', 'the', 'micromirrors', 'by', 'taking', 'into', 'account', 'the', 'flexural', 'deformation', 'of', 'the', 'structure', 'is', 'presented', 'the', 'results', 'are', 'compared', 'with', '3d', 'coupledfield', 'fem', 'simulation']] | [-0.09953035083125834, 0.05626097171206296, -0.07495240216790619, -0.06073850865862569, -0.03555657570171407, -0.13138142060804164, -0.0731814467679646, 0.4490981107040987, -0.23183314416999534, -0.2817610183383449, 0.09118091119887402, -0.22558966032781844, -0.09539176071441527, 0.24635407502242065, -0.024555192723617714, 0.11027278114994199, 0.04045824117769124, -0.09050572260235579, -0.03251012054003649, -0.11952664196033473, 0.2205130590709968, 0.11115695451291562, 0.35019511262239034, -0.009912168038851124, 0.12777465221992992, 0.004184980971454564, -0.010484915605541004, 0.048745710302096935, -0.1272798946790271, 0.1351391945223687, 0.1989866404210107, 0.030363068438403435, 0.25634497646794857, -0.48378861925990907, -0.24106041897656555, -0.0178150457440544, 0.11406717143195161, 0.14765271752820178, -0.07251387571726563, -0.2990847195546001, 0.08347203667764946, -0.19071240251157748, -0.14617732881521017, -0.039444037350052495, -0.00022717385347616875, 0.041735342245990945, -0.2597744487259553, -0.023867209947083967, 0.04130563446541585, 0.04082490959188948, -0.0975482946940524, -0.12839225363144177, -0.011697247636236124, 0.13077523987108874, -0.03207343403581467, -0.0431659142723528, 0.11338908660572843, -0.09760635527703217, -0.09631884349825776, 0.39326239715061956, -0.014056732515030998, -0.2145144900275489, 0.10822168383273785, -0.11466556852999127, -0.019513167156758954, 0.19869017571416067, 0.2164299740629681, 0.07060913641155714, -0.179217918619111, 0.05380236440322409, -0.011676053264004699, 0.20993415556721767, 0.05504440474402854, -0.039662932471956236, 0.21237155605675812, 0.30066596781361404, 0.022511669372453087, 0.20465854879358183, -0.1559171042823375, -0.03373556977169494, -0.2530974329654443, -0.15240305039431837, -0.17340453648624027, 0.005634840909328501, -0.09568077881457442, -0.17951773861580986, 0.4209182026275134, 0.095673210997829, 0.12021195077163688, 0.011345652827866754, 0.3704086259260016, 0.09870137526827344, 0.09689509155134023, -0.007830396523478172, 0.28867658072987856, 0.1747247913923367, 0.07336422537406118, -0.2775268042065456, 0.030182807011750794, 0.033366845620764515] |
711.3331 | Model of Electrostatic Actuated Deformable Mirror Using Strongly Coupled
Electro-Mechanical Finite Element | The aim of this paper is to deal with multi-physics simulation of
micro-electro-mechanical systems (MEMS) based on an advanced numerical
methodology. MEMS are very small devices in which electric as well as
mechanical and fluid phenomena appear and interact. Because of their
microscopic scale, strong coupling effects arise between the different physical
fields, and some forces, which were negligible at macroscopic scale, have to be
taken into account. In order to accurately design such micro-electro-mechanical
systems, it is of primary importance to be able to handle the strong coupling
between the electric and the mechanical fields. In this paper, the finite
element method (FEM) is used to model the strong coupled electro-mechanical
interactions and to perform static and transient analyses taking into account
large mesh displacements. These analyses will be used to study the behaviour of
electrostatically actuated micro-mirrors.
| cs.OH | the aim of this paper is to deal with multiphysics simulation of microelectromechanical systems mems based on an advanced numerical methodology mems are very small devices in which electric as well as mechanical and fluid phenomena appear and interact because of their microscopic scale strong coupling effects arise between the different physical fields and some forces which were negligible at macroscopic scale have to be taken into account in order to accurately design such microelectromechanical systems it is of primary importance to be able to handle the strong coupling between the electric and the mechanical fields in this paper the finite element method fem is used to model the strong coupled electromechanical interactions and to perform static and transient analyses taking into account large mesh displacements these analyses will be used to study the behaviour of electrostatically actuated micromirrors | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'deal', 'with', 'multiphysics', 'simulation', 'of', 'microelectromechanical', 'systems', 'mems', 'based', 'on', 'an', 'advanced', 'numerical', 'methodology', 'mems', 'are', 'very', 'small', 'devices', 'in', 'which', 'electric', 'as', 'well', 'as', 'mechanical', 'and', 'fluid', 'phenomena', 'appear', 'and', 'interact', 'because', 'of', 'their', 'microscopic', 'scale', 'strong', 'coupling', 'effects', 'arise', 'between', 'the', 'different', 'physical', 'fields', 'and', 'some', 'forces', 'which', 'were', 'negligible', 'at', 'macroscopic', 'scale', 'have', 'to', 'be', 'taken', 'into', 'account', 'in', 'order', 'to', 'accurately', 'design', 'such', 'microelectromechanical', 'systems', 'it', 'is', 'of', 'primary', 'importance', 'to', 'be', 'able', 'to', 'handle', 'the', 'strong', 'coupling', 'between', 'the', 'electric', 'and', 'the', 'mechanical', 'fields', 'in', 'this', 'paper', 'the', 'finite', 'element', 'method', 'fem', 'is', 'used', 'to', 'model', 'the', 'strong', 'coupled', 'electromechanical', 'interactions', 'and', 'to', 'perform', 'static', 'and', 'transient', 'analyses', 'taking', 'into', 'account', 'large', 'mesh', 'displacements', 'these', 'analyses', 'will', 'be', 'used', 'to', 'study', 'the', 'behaviour', 'of', 'electrostatically', 'actuated', 'micromirrors']] | [-0.12664485161976635, 0.13675413660886412, -0.06963751024755871, 0.021320541098666972, -0.09046075490417241, -0.15621015027152013, -0.050062150247194036, 0.3798956120279517, -0.2862276421900061, -0.357702760195038, 0.09373962443754104, -0.25242446928800977, -0.13719182939389252, 0.21792866432161587, -0.02519665336531165, 0.0743265039682817, 0.03407792611928697, -0.047906557439739324, 0.024052251223307237, -0.16915645853870903, 0.2702344596258653, 0.05708384437473129, 0.2747484954851244, 0.07771328512224095, 0.0913818304547571, -0.030451784744563934, 0.009727577400802495, 0.10191041351758319, -0.09328774716571081, 0.09925612107441902, 0.2688818671573088, -0.0016822431122602748, 0.2797600395220379, -0.526814436432805, -0.21129308461392526, 0.0825744976068465, 0.1109977477655592, 0.12255613399810232, -0.0301650991343404, -0.2955504768601746, 0.07847405008288275, -0.1691681598112148, -0.12662980775003366, -0.1167020674329251, -0.013628207462029062, 0.07480422062832835, -0.26376714805315293, 0.03546253571005391, 0.028954569638117128, 0.05066449063153361, -0.06908668871274261, -0.06761613166422027, 0.01138557838912544, 0.1776763218716323, 0.059005288325129544, -0.020645536283004307, 0.16843981781920833, -0.08851645802475995, -0.04996469601144572, 0.43339499311267043, -0.021510850123076183, -0.2331744671578137, 0.24785772660117356, -0.11047861015209727, -0.08568497954887881, 0.11619419500184841, 0.2860714086514006, 0.07703350033743388, -0.18595478562772166, 0.031199824980379706, 0.07683369014814175, 0.16869870018508795, 0.011112393846520952, 0.05012557273150653, 0.22548782133678202, 0.20921356758946996, 0.003526218243867909, 0.11458955892058519, -0.057354376292888, -0.08882574620489166, -0.27996147679928823, -0.12040001160646085, -0.15683730236395335, 0.03268967178254891, -0.05883235527514882, -0.18924019636130698, 0.3522680552321211, 0.20911629984101696, 0.13775310195687648, -0.02194633050788221, 0.3171575448924689, 0.10378318442293047, 0.12636886157678345, -0.019983287941567725, 0.3134524495863915, 0.15951263983130937, 0.11664743552306037, -0.26372479934499954, 0.020768128239579846, 0.001705837833004997] |
711.3332 | New Internal Stress Driven on-Chip Micromachines for Extracting
Mechanical Properties of Thin Films | A new concept of micromachines has been developed for measuring the
mechanical properties of thin metallic films. The actuator is a beam undergoing
large internal stresses built up during the deposition process. Al thin films
are deposited partly on the actuator beam and on the substrate. By etching the
structure, the actuator contracts and pulls the Al film. Full stress strain
curves can be generated by designing a set of micromachines with various
actuator lengths. In the present study, the displacements have been measured by
scanning electronic microscopy. The stress is derived from simple continuum
mechanics relationships. The tensile properties of Al films of various
thicknesses have been tested. A marked increase of the strength with decreasing
film thickness is observed.
| cs.OH | a new concept of micromachines has been developed for measuring the mechanical properties of thin metallic films the actuator is a beam undergoing large internal stresses built up during the deposition process al thin films are deposited partly on the actuator beam and on the substrate by etching the structure the actuator contracts and pulls the al film full stress strain curves can be generated by designing a set of micromachines with various actuator lengths in the present study the displacements have been measured by scanning electronic microscopy the stress is derived from simple continuum mechanics relationships the tensile properties of al films of various thicknesses have been tested a marked increase of the strength with decreasing film thickness is observed | [['a', 'new', 'concept', 'of', 'micromachines', 'has', 'been', 'developed', 'for', 'measuring', 'the', 'mechanical', 'properties', 'of', 'thin', 'metallic', 'films', 'the', 'actuator', 'is', 'a', 'beam', 'undergoing', 'large', 'internal', 'stresses', 'built', 'up', 'during', 'the', 'deposition', 'process', 'al', 'thin', 'films', 'are', 'deposited', 'partly', 'on', 'the', 'actuator', 'beam', 'and', 'on', 'the', 'substrate', 'by', 'etching', 'the', 'structure', 'the', 'actuator', 'contracts', 'and', 'pulls', 'the', 'al', 'film', 'full', 'stress', 'strain', 'curves', 'can', 'be', 'generated', 'by', 'designing', 'a', 'set', 'of', 'micromachines', 'with', 'various', 'actuator', 'lengths', 'in', 'the', 'present', 'study', 'the', 'displacements', 'have', 'been', 'measured', 'by', 'scanning', 'electronic', 'microscopy', 'the', 'stress', 'is', 'derived', 'from', 'simple', 'continuum', 'mechanics', 'relationships', 'the', 'tensile', 'properties', 'of', 'al', 'films', 'of', 'various', 'thicknesses', 'have', 'been', 'tested', 'a', 'marked', 'increase', 'of', 'the', 'strength', 'with', 'decreasing', 'film', 'thickness', 'is', 'observed']] | [-0.11438562116039193, 0.1852138761800429, -0.06897839833020179, -0.10348588020258094, -0.02309714776294475, -0.11884976875745068, 0.006794324827338146, 0.45609077240132595, -0.2881874749283037, -0.33710717774681315, 0.06287438943375995, -0.26372411600814377, -0.09503523807410798, 0.21929958931599505, -0.03968824687883381, 0.11476800209932339, -0.013040768935091117, -0.14488859399229534, -0.05718058615553478, -0.19670081635636916, 0.25724854942195674, 0.09688530735332858, 0.3635286740604634, 0.06140968617636803, 0.09820418829513976, -0.02822904831504094, 0.06822954787880428, 0.0793788191623801, -0.19550083227809673, 0.0675151230755824, 0.19245518209058637, -0.04691049057705528, 0.23331085001580293, -0.5181234109038411, -0.25212455867243205, -0.01033886893814014, 0.04393221479494217, 0.10421050036680107, -0.06969919702142077, -0.27523004894783676, 0.0833116155194719, -0.12618141424311094, -0.11620929196846387, -0.035001091675424936, 0.03689184293828227, 0.050606135011473596, -0.1923475223165275, 0.02241950327230325, 0.02607730436831528, 0.13680037289611563, -0.08095228478835881, -0.10484524463565081, -0.12057691322993641, 0.07812276301705394, 0.04783378319198089, 0.0323116862549916, 0.2787065186560893, -0.09051393152961185, -0.08025938410827628, 0.32657951547587216, 0.009534180349062296, -0.12265912214032382, 0.14645575794145033, -0.11259802608185039, -0.009454957255708777, 0.17912445317430437, 0.1740553456720365, 0.11288708940240716, -0.19688333104574313, 0.07513362590573759, -0.004180702627136195, 0.1954062405573435, 0.14922077627082872, -0.048852973440585055, 0.2102122776987693, 0.25155679639794454, -0.01994154693497237, 0.18164971887137865, -0.1350912775840487, 0.019788158799171417, -0.221551892200431, -0.15999363258496418, -0.19275927788400946, 0.050691670672737124, -0.07804059528929475, -0.183998585066735, 0.3656504515189031, 0.07215256795425676, 0.17331829123691586, -0.026082204548980702, 0.25122621769378006, 0.0693047523859567, 0.10852742691385783, -0.01737470142466347, 0.34196620379105086, 0.17835872545491996, 0.10771762496192386, -0.209282573391414, 0.17882627036714974, 0.0031718672907426336] |
711.3333 | Process Issues for a Multi-Layer Microelectrofluidic Platform | We report on the development of some process capabilities for a
polymer-based, multi-layer microelectrofluidic platform, namely: the hot
embossing process, metallization on polymer and polymer bonding. Hot embossing
experiments were conducted to look at the effects of load applied, embossing
temperature and embossing time on the fidelity of line arrays representing
micro channels. The results revealed that the embossing temperature is a more
sensitive parameter than the others due to its large effect on the polymer
material's viscoelastic properties. Dynamic mechanical analysis (DMA) on
polymethyl methacrylate (PMMA) revealed a steep glass transition over a 20 oC
range, with the material losing more than 95 % of its storage modulus. The data
explained the hot embossing results which showed large change in the embossed
channel dimensions when the temperature is within the glass transition range.
It was demonstrated that the micro-printing of silver epoxy is a possible
low-cost technique in the mass production of disposable lab chips. An
interconnecting network of electrical traces was fabricated in the form of a
four-layer PMMA-based device. A four PMMA layer device with interconnecting
microfluidic channels was also fabricated and tested.
| cs.OH | we report on the development of some process capabilities for a polymerbased multilayer microelectrofluidic platform namely the hot embossing process metallization on polymer and polymer bonding hot embossing experiments were conducted to look at the effects of load applied embossing temperature and embossing time on the fidelity of line arrays representing micro channels the results revealed that the embossing temperature is a more sensitive parameter than the others due to its large effect on the polymer materials viscoelastic properties dynamic mechanical analysis dma on polymethyl methacrylate pmma revealed a steep glass transition over a 20 oc range with the material losing more than 95 of its storage modulus the data explained the hot embossing results which showed large change in the embossed channel dimensions when the temperature is within the glass transition range it was demonstrated that the microprinting of silver epoxy is a possible lowcost technique in the mass production of disposable lab chips an interconnecting network of electrical traces was fabricated in the form of a fourlayer pmmabased device a four pmma layer device with interconnecting microfluidic channels was also fabricated and tested | [['we', 'report', 'on', 'the', 'development', 'of', 'some', 'process', 'capabilities', 'for', 'a', 'polymerbased', 'multilayer', 'microelectrofluidic', 'platform', 'namely', 'the', 'hot', 'embossing', 'process', 'metallization', 'on', 'polymer', 'and', 'polymer', 'bonding', 'hot', 'embossing', 'experiments', 'were', 'conducted', 'to', 'look', 'at', 'the', 'effects', 'of', 'load', 'applied', 'embossing', 'temperature', 'and', 'embossing', 'time', 'on', 'the', 'fidelity', 'of', 'line', 'arrays', 'representing', 'micro', 'channels', 'the', 'results', 'revealed', 'that', 'the', 'embossing', 'temperature', 'is', 'a', 'more', 'sensitive', 'parameter', 'than', 'the', 'others', 'due', 'to', 'its', 'large', 'effect', 'on', 'the', 'polymer', 'materials', 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711.3334 | Fabrication of Switches on Polymer-Based by Hot Embossing | In MEMS technology, most of the devices are fabricated on glass or silicon
substrate. However, this research presents a novel manufacture method that is
derived from conventional hot embossing technology to fabricate the
electrostatic switches on polymer material. The procedures of fabrication
involve the metal deposition, photolithography, electroplating, hot embossing
and hot embed techniques. The fundamental concept of the hot embed technology
is that the temperature should be increased above Tg of polymer, and the
polymer becomes plastic and viscous and could be molded. According to the
fundamental concept, the metal layer on the silicon/glass substrate could be
embedded into polymer material during the hot embossing process. Afterward, the
metal layer is bonded together with the polymer after removing the substrate in
the de-embossing step. Finally, the electrostatic switch is fabricated on
polymethylmethacrylate(PMMA) material to demonstrate the novel method.
| cs.OH | in mems technology most of the devices are fabricated on glass or silicon substrate however this research presents a novel manufacture method that is derived from conventional hot embossing technology to fabricate the electrostatic switches on polymer material the procedures of fabrication involve the metal deposition photolithography electroplating hot embossing and hot embed techniques the fundamental concept of the hot embed technology is that the temperature should be increased above tg of polymer and the polymer becomes plastic and viscous and could be molded according to the fundamental concept the metal layer on the siliconglass substrate could be embedded into polymer material during the hot embossing process afterward the metal layer is bonded together with the polymer after removing the substrate in the deembossing step finally the electrostatic switch is fabricated on polymethylmethacrylatepmma material to demonstrate the novel method | [['in', 'mems', 'technology', 'most', 'of', 'the', 'devices', 'are', 'fabricated', 'on', 'glass', 'or', 'silicon', 'substrate', 'however', 'this', 'research', 'presents', 'a', 'novel', 'manufacture', 'method', 'that', 'is', 'derived', 'from', 'conventional', 'hot', 'embossing', 'technology', 'to', 'fabricate', 'the', 'electrostatic', 'switches', 'on', 'polymer', 'material', 'the', 'procedures', 'of', 'fabrication', 'involve', 'the', 'metal', 'deposition', 'photolithography', 'electroplating', 'hot', 'embossing', 'and', 'hot', 'embed', 'techniques', 'the', 'fundamental', 'concept', 'of', 'the', 'hot', 'embed', 'technology', 'is', 'that', 'the', 'temperature', 'should', 'be', 'increased', 'above', 'tg', 'of', 'polymer', 'and', 'the', 'polymer', 'becomes', 'plastic', 'and', 'viscous', 'and', 'could', 'be', 'molded', 'according', 'to', 'the', 'fundamental', 'concept', 'the', 'metal', 'layer', 'on', 'the', 'siliconglass', 'substrate', 'could', 'be', 'embedded', 'into', 'polymer', 'material', 'during', 'the', 'hot', 'embossing', 'process', 'afterward', 'the', 'metal', 'layer', 'is', 'bonded', 'together', 'with', 'the', 'polymer', 'after', 'removing', 'the', 'substrate', 'in', 'the', 'deembossing', 'step', 'finally', 'the', 'electrostatic', 'switch', 'is', 'fabricated', 'on', 'polymethylmethacrylatepmma', 'material', 'to', 'demonstrate', 'the', 'novel', 'method']] | [-0.05385824748362503, 0.204872726172168, -0.07366156825510255, -0.11623020953344286, -0.05136188883062479, -0.21423074299551165, 0.03672292139245211, 0.46360802287439795, -0.28096608998148576, -0.26625090495540493, 0.09521614370126631, -0.28481573014635675, -0.11761490698822223, 0.20338817756711403, -0.0911248731613839, 0.03509583289609257, 0.01677987910467234, -0.10095844634325944, -0.03237946056862817, -0.17199152877323165, 0.24087987477163764, 0.06606834361424846, 0.34761918843961764, 0.1284776504974078, 0.08714657336351102, -0.0475080619178658, 0.03796320989129752, -0.014917620432694413, -0.15583262401074255, 0.10324034444566299, 0.22469012361754032, -0.03536226935548722, 0.26322989016737325, -0.5298261229003215, -0.26432582294146945, -0.012672363229802926, 0.1100550106400284, 0.10011207606697822, -0.09529026080752268, -0.2205903671654689, 0.10248148624860022, -0.14185267086582679, -0.09385773601818975, -0.011873460696826614, -0.05874119880847144, 0.008842890571469754, -0.1836413154862889, -0.01376170694426953, 0.05910119507461786, -0.011978417992707423, -0.034516159938431656, -0.10123328611179915, -0.05014044948833159, 0.06919019448190221, -0.015433946641605606, 0.013430816226768016, 0.3531992481137714, -0.09499911136796059, -0.0193759525232153, 0.37841246233586845, -0.01689880392148778, -0.0974108741175125, 0.20266013989483353, -0.0892878352412886, -0.04060044567896067, 0.17075393872036443, 0.1812206796050942, 0.0812784638160238, -0.19385936248530872, 0.018491543550724094, 0.054731372499117886, 0.19181906654886957, 0.09493483060182337, -0.007165610192030886, 0.28523050568467617, 0.326669872466502, 0.00446906940753225, 0.196278484882345, -0.10064559292575484, -0.017941038443768112, -0.18548422915534707, -0.2594591317542006, -0.22126352174180378, 0.03036378077095388, -0.09925445453323302, -0.21933285595618024, 0.3403268565804473, 0.13331288531980048, 0.12920033043576745, -0.046534564216913536, 0.32847243155876216, 0.03355923420443696, 0.14307314989388153, -0.02156785241817634, 0.26211680674901655, 0.15917762958641796, 0.15727682467753978, -0.19360638288594104, 0.11526647259066575, 0.044884647623411496] |
711.3335 | A New Model of Fringing Capacitance and its Application to the Control
of Parallel-Plate Electrostatic Micro Actuators | Fringing field has to be taken into account in the formulation of
electrostatic parallel-plate actuators when the gap separating the electrodes
is comparable to the geometrical dimensions of the moving plate. Even in this
case, the existing formulations often result in complicated mathematical models
from which it is difficult to determine the deflection of the moving plate for
given voltages and therefore to predict the necessary applied voltages for
actuation control. This work presents a new method for the modeling of fringing
field, in which the effect of fringing field is modeled as a serial capacitor.
Numerical simulation demonstrates the suitability of this formulation. Based on
this model, a robust control scheme is constructed using the theory of
input-to-state stabilization (ISS) and back-stepping state feedback design. The
stability and the performance of the system using this control scheme are
demonstrated through both stability analysis and numerical simulation.
| cs.OH | fringing field has to be taken into account in the formulation of electrostatic parallelplate actuators when the gap separating the electrodes is comparable to the geometrical dimensions of the moving plate even in this case the existing formulations often result in complicated mathematical models from which it is difficult to determine the deflection of the moving plate for given voltages and therefore to predict the necessary applied voltages for actuation control this work presents a new method for the modeling of fringing field in which the effect of fringing field is modeled as a serial capacitor numerical simulation demonstrates the suitability of this formulation based on this model a robust control scheme is constructed using the theory of inputtostate stabilization iss and backstepping state feedback design the stability and the performance of the system using this control scheme are demonstrated through both stability analysis and numerical simulation | [['fringing', 'field', 'has', 'to', 'be', 'taken', 'into', 'account', 'in', 'the', 'formulation', 'of', 'electrostatic', 'parallelplate', 'actuators', 'when', 'the', 'gap', 'separating', 'the', 'electrodes', 'is', 'comparable', 'to', 'the', 'geometrical', 'dimensions', 'of', 'the', 'moving', 'plate', 'even', 'in', 'this', 'case', 'the', 'existing', 'formulations', 'often', 'result', 'in', 'complicated', 'mathematical', 'models', 'from', 'which', 'it', 'is', 'difficult', 'to', 'determine', 'the', 'deflection', 'of', 'the', 'moving', 'plate', 'for', 'given', 'voltages', 'and', 'therefore', 'to', 'predict', 'the', 'necessary', 'applied', 'voltages', 'for', 'actuation', 'control', 'this', 'work', 'presents', 'a', 'new', 'method', 'for', 'the', 'modeling', 'of', 'fringing', 'field', 'in', 'which', 'the', 'effect', 'of', 'fringing', 'field', 'is', 'modeled', 'as', 'a', 'serial', 'capacitor', 'numerical', 'simulation', 'demonstrates', 'the', 'suitability', 'of', 'this', 'formulation', 'based', 'on', 'this', 'model', 'a', 'robust', 'control', 'scheme', 'is', 'constructed', 'using', 'the', 'theory', 'of', 'inputtostate', 'stabilization', 'iss', 'and', 'backstepping', 'state', 'feedback', 'design', 'the', 'stability', 'and', 'the', 'performance', 'of', 'the', 'system', 'using', 'this', 'control', 'scheme', 'are', 'demonstrated', 'through', 'both', 'stability', 'analysis', 'and', 'numerical', 'simulation']] | [-0.12587695228265358, 0.0330291195292672, -0.09965430323009183, -0.003048167080098928, -0.04937772402780599, -0.1729567420453492, 0.01000271599659012, 0.3650812273971787, -0.2714002576251166, -0.32369642610959454, 0.1184387034261409, -0.1773225555804615, -0.14983244254222128, 0.2377311211747757, -0.09186443291781914, 0.07028685744256288, 0.04378341877718969, -0.02364541176187039, -0.0301657368913673, -0.19040739899311138, 0.2698644156279486, 0.06902535782444297, 0.31747279617124474, 0.03833757733393993, 0.11930280723323931, 0.0027351115044637196, -0.0014842533772545202, 0.08076828771483052, -0.08314800879927542, 0.09727200337679309, 0.22563948820386778, 0.0321320595827942, 0.28582450006233184, -0.4500635962705223, -0.2267316849585496, 0.030138301374834208, 0.10165278749464422, 0.1328150151791621, -0.07944106933150795, -0.2885191034965952, 0.08508727990318926, -0.15372562623855207, -0.12342637855889035, -0.06498480160232811, -0.01618084821732854, 0.0194148465158715, -0.3043494554724367, 0.031075529383533463, 0.04474370399027505, 0.05869265040541131, -0.1133421355886955, -0.07294127590270066, 0.0064953922050162444, 0.13485800076001261, 0.040619271882606965, 0.009042000011572626, 0.14508277506149392, -0.10677320579998195, -0.07941042393331929, 0.3728860818787294, -0.010277678912860296, -0.250086863012826, 0.17856953290075722, -0.09498174321603309, -0.04039881228893793, 0.13680850804330413, 0.19868341010367993, 0.11621485011601428, -0.17463894522177503, 0.061370368947141936, 0.02120151244686777, 0.1849037554783455, 0.033450402819938, -0.023723647752333255, 0.17839268560926777, 0.23820263687616253, 0.07431401489429226, 0.185812749870622, -0.09896301544432966, -0.10582665462034191, -0.3194586464843782, -0.13218496811455813, -0.14836821142032894, 0.0015736470659434491, -0.05698093800721563, -0.18648839292122799, 0.4081045769055142, 0.20269647794363854, 0.10878107846606852, 0.025865404937910487, 0.39189136333662233, 0.14036555993956748, 0.0676840152401401, 0.025316483125551507, 0.3035582165062732, 0.16142563110369504, 0.1302828882396424, -0.2686058956401923, 0.04170495877992742, 0.0488272703531496] |
711.3336 | Numerical evaluation of Chandrasekhar's H-function, its first and second
differential coefficients, its pole and moments from the new form for plane
parallel scattering atmosphere in radiative transfer | In this paper, the new forms obtained for Chandrasekhar's H- function in
Radiative Transfer by one of the authors both for non-conservative and
conservative cases for isotropic scattering in a semi-infinite plane parallel
atmosphere are used to obtain exclusively new forms for the first and second
derivatives of H-function . The numerics for evaluation of zero of dispersion
function, for evaluation of H-function and its derivatives and its zeroth, the
first and second moments are outlined. Those are used to get ready and accurate
extensive tables of H-function and its derivatives, pole and moments for
different albedo for scattering by iteration and Simpson's one third rule . The
schemes for interpolation of H-function for any arbitrary value of the
direction parameter for a given albedo are also outlined. Good agreement has
been observed in checks with the available results within one unit of ninth
decimal
| astro-ph | in this paper the new forms obtained for chandrasekhars h function in radiative transfer by one of the authors both for nonconservative and conservative cases for isotropic scattering in a semiinfinite plane parallel atmosphere are used to obtain exclusively new forms for the first and second derivatives of hfunction the numerics for evaluation of zero of dispersion function for evaluation of hfunction and its derivatives and its zeroth the first and second moments are outlined those are used to get ready and accurate extensive tables of hfunction and its derivatives pole and moments for different albedo for scattering by iteration and simpsons one third rule the schemes for interpolation of hfunction for any arbitrary value of the direction parameter for a given albedo are also outlined good agreement has been observed in checks with the available results within one unit of ninth decimal | [['in', 'this', 'paper', 'the', 'new', 'forms', 'obtained', 'for', 'chandrasekhars', 'h', 'function', 'in', 'radiative', 'transfer', 'by', 'one', 'of', 'the', 'authors', 'both', 'for', 'nonconservative', 'and', 'conservative', 'cases', 'for', 'isotropic', 'scattering', 'in', 'a', 'semiinfinite', 'plane', 'parallel', 'atmosphere', 'are', 'used', 'to', 'obtain', 'exclusively', 'new', 'forms', 'for', 'the', 'first', 'and', 'second', 'derivatives', 'of', 'hfunction', 'the', 'numerics', 'for', 'evaluation', 'of', 'zero', 'of', 'dispersion', 'function', 'for', 'evaluation', 'of', 'hfunction', 'and', 'its', 'derivatives', 'and', 'its', 'zeroth', 'the', 'first', 'and', 'second', 'moments', 'are', 'outlined', 'those', 'are', 'used', 'to', 'get', 'ready', 'and', 'accurate', 'extensive', 'tables', 'of', 'hfunction', 'and', 'its', 'derivatives', 'pole', 'and', 'moments', 'for', 'different', 'albedo', 'for', 'scattering', 'by', 'iteration', 'and', 'simpsons', 'one', 'third', 'rule', 'the', 'schemes', 'for', 'interpolation', 'of', 'hfunction', 'for', 'any', 'arbitrary', 'value', 'of', 'the', 'direction', 'parameter', 'for', 'a', 'given', 'albedo', 'are', 'also', 'outlined', 'good', 'agreement', 'has', 'been', 'observed', 'in', 'checks', 'with', 'the', 'available', 'results', 'within', 'one', 'unit', 'of', 'ninth', 'decimal']] | [-0.09444239265545942, 0.048284428262549056, -0.06471215274471503, 0.09240382876804007, -0.07762246978163094, -0.09752575605147082, 0.05105855325774218, 0.35583200153302064, -0.22447100835624378, -0.2856588887923456, 0.11734308703913243, -0.2747883553505986, -0.08745013257175997, 0.2422507329081947, 0.003173877087818993, 0.09066844782979273, 0.05373498257510104, 0.04590208677760606, -0.08930968118740337, -0.2688431810144778, 0.32562162825134355, 0.04283535811021091, 0.19165436703210267, 0.0552240176048208, 0.1097811281874815, 0.025189174078665413, -0.054363577639671055, -0.04589921725217883, -0.13756964701208305, 0.14728536158213978, 0.24344955858533512, 0.06236344989604102, 0.20017205017872833, -0.3875971128056933, -0.1731088790208935, 0.03837772426228006, 0.12239386014952942, 0.07042271994914, -0.030289306858932222, -0.23835546685499953, 0.06331112139721538, -0.18230193316890902, -0.1568204470343523, -0.11748737269374249, 0.06647991152949162, 0.05208937407445188, -0.30761560519271486, 0.0940002549040356, 0.04240798063118701, 0.0710864374576905, -0.0933849786439181, -0.20930922308845537, -0.019697428042707327, 0.15681782189652427, 0.0480838282802305, 0.011139130890629925, 0.03277867587634942, -0.11345682455913873, -0.0863784269130157, 0.4032932168810622, -0.07582609877364802, -0.22234214644332032, 0.13414981982742363, -0.1536433283903903, -0.12880531094408224, 0.13975250820622787, 0.12819427731174202, 0.13490251697210345, -0.14363435239098002, 0.05999195626798457, -0.0011773300161780594, 0.11116419245417301, 0.11147983681729676, -0.029871957316814347, 0.17139053153251851, 0.06768748127054293, 0.02981108602159168, 0.13402598663689114, -0.0631117797652064, -0.11647582418200644, -0.3385060932878014, -0.21283886179894165, -0.20228291086452016, -0.04848970157270144, -0.10659377588766343, -0.1667640992551, 0.3682365119685191, 0.12855108697097617, 0.163760197980629, 0.07579811220057309, 0.31565154048164823, 0.17977588388733434, 0.036408906480154164, 0.05321295410590051, 0.24855581493852855, 0.14502269978524296, 0.1013505001604505, -0.1479721970736518, 0.08951409290043208, 0.09847813044264392] |
711.3337 | Numerical Investigation of Glassy Dynamics in Low Density Systems | Vitrification in colloidal systems typically occurs at high densities driven
by sharply varying, short-ranged interactions. The possibility of glassy
behavior arising from smoothly varying, long-ranged particle interactions has
received relatively little attention. Here we investigate the behavior of
screened charged particles, and explicitly demonstrate that these systems
exhibit glassy properties in the regime of low temperature and low density.
Properties close to this low density (Wigner) glass transition share many
features with their hard-sphere counterparts, but differ in quantitative
aspects that may be accounted for via microscopic theoretical considerations.
| cond-mat.dis-nn cond-mat.soft | vitrification in colloidal systems typically occurs at high densities driven by sharply varying shortranged interactions the possibility of glassy behavior arising from smoothly varying longranged particle interactions has received relatively little attention here we investigate the behavior of screened charged particles and explicitly demonstrate that these systems exhibit glassy properties in the regime of low temperature and low density properties close to this low density wigner glass transition share many features with their hardsphere counterparts but differ in quantitative aspects that may be accounted for via microscopic theoretical considerations | [['vitrification', 'in', 'colloidal', 'systems', 'typically', 'occurs', 'at', 'high', 'densities', 'driven', 'by', 'sharply', 'varying', 'shortranged', 'interactions', 'the', 'possibility', 'of', 'glassy', 'behavior', 'arising', 'from', 'smoothly', 'varying', 'longranged', 'particle', 'interactions', 'has', 'received', 'relatively', 'little', 'attention', 'here', 'we', 'investigate', 'the', 'behavior', 'of', 'screened', 'charged', 'particles', 'and', 'explicitly', 'demonstrate', 'that', 'these', 'systems', 'exhibit', 'glassy', 'properties', 'in', 'the', 'regime', 'of', 'low', 'temperature', 'and', 'low', 'density', 'properties', 'close', 'to', 'this', 'low', 'density', 'wigner', 'glass', 'transition', 'share', 'many', 'features', 'with', 'their', 'hardsphere', 'counterparts', 'but', 'differ', 'in', 'quantitative', 'aspects', 'that', 'may', 'be', 'accounted', 'for', 'via', 'microscopic', 'theoretical', 'considerations']] | [-0.10265763184275437, 0.2974252643408986, -0.11746324402191205, 0.08016637021942545, -0.004317014845705518, -0.1925667623748605, 0.018678385481824367, 0.39992832409197027, -0.2650206559389997, -0.31835159828907317, 0.018605360401574563, -0.32364447320696343, -0.15880149794909892, 0.0822195417961901, 0.004057189590935962, 0.01800263405181049, -0.020781617705825338, -0.04288090037161045, -0.12440347115331318, -0.1643466495103046, 0.25937196421384645, 0.050363146773215094, 0.2971705617226158, 0.10097605749713572, 0.06179253549283643, 0.008642299248564862, 0.08168070004687886, 0.06099647351048803, -0.17245411665229196, 0.02693660142753022, 0.26276484071120115, -0.039139956560278875, 0.2382724533526108, -0.4688846756065829, -0.27962773546492786, 0.09176052020329019, 0.1584939862322847, 0.11402595603545562, -0.12103274458590267, -0.26763047299902426, 0.04575366982039106, -0.17436170529867157, -0.16401912789436035, -0.12604063000854399, 0.01850924061695009, 0.088904969394207, -0.16505794399784188, 0.1729408323168336, 0.06102353845084651, 0.08753812760951814, -0.06746344558967884, -0.0927895645642381, -0.015444915804467845, 0.12024856094019802, 0.09666830206059673, -0.040528935825012706, 0.23418413998239956, -0.2101429966409178, -0.05273393819990223, 0.38012094062156554, -0.03671533512370138, -0.13407711694121696, 0.3316161380557532, -0.2099253846688217, -0.1388188387003068, 0.22863892699183708, 0.18038331972745122, 0.07495359820575359, -0.13773647503236705, 0.06645036292304232, 0.05591920133041783, 0.17990942988309255, 0.02618759898782781, 0.09682027965763144, 0.2842927034107152, 0.1685788860188776, -0.05420425856614151, 0.1485406574937044, -0.01156883304834031, -0.1675934065447262, -0.18775225631641537, -0.06665239181223043, -0.22765755651288488, 0.02065089325096165, -0.09607390099266555, -0.15889144707157205, 0.31398438108729176, 0.14072068077067354, 0.2257265089435524, 0.04479592556547206, 0.20871216582469224, 0.10582977744719285, 0.025583294793189073, 0.009361946301304557, 0.2874307206706301, 0.13738200888090002, 0.1214358468403977, -0.2279712920531034, 0.08786359651725781, -0.023364568893075657] |
711.3338 | Bounds for Compression in Streaming Models | Compression algorithms and streaming algorithms are both powerful tools for
dealing with massive data sets, but many of the best compression algorithms --
e.g., those based on the Burrows-Wheeler Transform -- at first seem
incompatible with streaming. In this paper we consider several popular
streaming models and ask in which, if any, we can compress as well as we can
with the BWT. We first prove a nearly tight tradeoff between memory and
redundancy for the Standard, Multipass and W-Streams models, demonstrating a
bound that is achievable with the BWT but unachievable in those models. We then
show we can compute the related Schindler Transform in the StreamSort model and
the BWT in the Read-Write model and, thus, achieve that bound.
| cs.IT math.IT | compression algorithms and streaming algorithms are both powerful tools for dealing with massive data sets but many of the best compression algorithms eg those based on the burrowswheeler transform at first seem incompatible with streaming in this paper we consider several popular streaming models and ask in which if any we can compress as well as we can with the bwt we first prove a nearly tight tradeoff between memory and redundancy for the standard multipass and wstreams models demonstrating a bound that is achievable with the bwt but unachievable in those models we then show we can compute the related schindler transform in the streamsort model and the bwt in the readwrite model and thus achieve that bound | [['compression', 'algorithms', 'and', 'streaming', 'algorithms', 'are', 'both', 'powerful', 'tools', 'for', 'dealing', 'with', 'massive', 'data', 'sets', 'but', 'many', 'of', 'the', 'best', 'compression', 'algorithms', 'eg', 'those', 'based', 'on', 'the', 'burrowswheeler', 'transform', 'at', 'first', 'seem', 'incompatible', 'with', 'streaming', 'in', 'this', 'paper', 'we', 'consider', 'several', 'popular', 'streaming', 'models', 'and', 'ask', 'in', 'which', 'if', 'any', 'we', 'can', 'compress', 'as', 'well', 'as', 'we', 'can', 'with', 'the', 'bwt', 'we', 'first', 'prove', 'a', 'nearly', 'tight', 'tradeoff', 'between', 'memory', 'and', 'redundancy', 'for', 'the', 'standard', 'multipass', 'and', 'wstreams', 'models', 'demonstrating', 'a', 'bound', 'that', 'is', 'achievable', 'with', 'the', 'bwt', 'but', 'unachievable', 'in', 'those', 'models', 'we', 'then', 'show', 'we', 'can', 'compute', 'the', 'related', 'schindler', 'transform', 'in', 'the', 'streamsort', 'model', 'and', 'the', 'bwt', 'in', 'the', 'readwrite', 'model', 'and', 'thus', 'achieve', 'that', 'bound']] | [-0.07714665016461895, 0.09659055224022804, -0.0703839934271816, 0.10504692525037715, -0.04857096124567792, -0.17964166540525153, 0.04047276241342641, 0.4065686985850334, -0.31282215970608157, -0.3274841343020845, 0.1294566043642644, -0.2642440878841867, -0.1735662903366053, 0.24643659490980527, -0.09181570824490398, 0.08828185711247034, 0.06014449025591851, 0.050431058744095966, -0.048902933883807086, -0.27092326501121694, 0.26380935521860027, 0.06559578826129596, 0.2961372645078307, 0.017299405721008267, 0.06964858753196736, -0.025689617324716005, -0.03712953079858015, 0.010228752492903134, -0.1006570149798386, 0.14929142738413861, 0.22685141398585237, 0.22392538131182838, 0.21127949799132398, -0.46050120633827824, -0.18380833756274137, 0.11956766844352978, 0.1894317525542196, 0.12778066902154755, -0.05699769934364714, -0.21726097122758117, 0.12123034444526157, -0.13759241751235965, 0.009005738272775426, -0.11445617323152275, -0.02690563518076371, 0.036597302000428364, -0.3098145209762276, 0.02515992188316762, 0.08558195492384048, -0.0294910091190384, -0.06725557153381836, -0.08681871585197683, 0.07829797191696608, 0.09721363228785558, 0.020769900346819598, 0.032978638345932856, 0.036500491150137454, -0.12044982178112826, -0.16298594802785188, 0.42596187518957335, -0.08340749685039632, -0.18491149976805776, 0.23708506511389, -0.09439590908427778, -0.16678255854938656, 0.033638561558392316, 0.19973454511382133, 0.102438071434203, -0.09800944585576017, 0.08739432014731897, -0.06260926277639392, 0.182686812721957, 0.09832024479953524, 0.06656210793134494, 0.12876129397151306, 0.16949631196932277, 0.06283874676361856, 0.16360456666025597, -0.07741911333396585, -0.05752796694262224, -0.22332952466084915, -0.1577999365573717, -0.16792653778241548, -0.041714514816641554, -0.11030323122370328, -0.15552373505874068, 0.32596831946259636, 0.1845303605326539, 0.2162935002746745, 0.13742895648142117, 0.36223547667678857, 0.07400047010742128, 0.09863958301213689, 0.18375012803520274, 0.1746229496048206, 0.0510731735226945, 0.05527929271547458, -0.13433645377094802, 0.06305462635782921, 0.05982823223353197] |
711.3339 | Elastic s-wave scattering phase shifts and |Vub| from lattice
calculations of form factors for exclusive semileptonic decays | Omnes dispersion relations make a connection between form factors for
exclusive semileptonic decays and phase shifts in the corresponding elastic
scattering channels. We describe two applications. In the first, we use lattice
form factor calculations to learn about phase shifts in elastic s-wave
isospin-1/2 channels for K pi, B pi, D pi and D K scattering. The aim of the
second application is to make the determination of the CKM matrix element
magnitude |Vub| from exclusive semileptonic B to pi decays competitive with
that from inclusive decays. Here we use many subtractions in an Omnes
dispersion relation to motivate a simple fitting function, allowing data to
constrain the q^2 shape of the differential decay rate and theory, primarily
lattice results, to provide normalisation via form factor values.
| hep-lat | omnes dispersion relations make a connection between form factors for exclusive semileptonic decays and phase shifts in the corresponding elastic scattering channels we describe two applications in the first we use lattice form factor calculations to learn about phase shifts in elastic swave isospin12 channels for k pi b pi d pi and d k scattering the aim of the second application is to make the determination of the ckm matrix element magnitude vub from exclusive semileptonic b to pi decays competitive with that from inclusive decays here we use many subtractions in an omnes dispersion relation to motivate a simple fitting function allowing data to constrain the q2 shape of the differential decay rate and theory primarily lattice results to provide normalisation via form factor values | [['omnes', 'dispersion', 'relations', 'make', 'a', 'connection', 'between', 'form', 'factors', 'for', 'exclusive', 'semileptonic', 'decays', 'and', 'phase', 'shifts', 'in', 'the', 'corresponding', 'elastic', 'scattering', 'channels', 'we', 'describe', 'two', 'applications', 'in', 'the', 'first', 'we', 'use', 'lattice', 'form', 'factor', 'calculations', 'to', 'learn', 'about', 'phase', 'shifts', 'in', 'elastic', 'swave', 'isospin12', 'channels', 'for', 'k', 'pi', 'b', 'pi', 'd', 'pi', 'and', 'd', 'k', 'scattering', 'the', 'aim', 'of', 'the', 'second', 'application', 'is', 'to', 'make', 'the', 'determination', 'of', 'the', 'ckm', 'matrix', 'element', 'magnitude', 'vub', 'from', 'exclusive', 'semileptonic', 'b', 'to', 'pi', 'decays', 'competitive', 'with', 'that', 'from', 'inclusive', 'decays', 'here', 'we', 'use', 'many', 'subtractions', 'in', 'an', 'omnes', 'dispersion', 'relation', 'to', 'motivate', 'a', 'simple', 'fitting', 'function', 'allowing', 'data', 'to', 'constrain', 'the', 'q2', 'shape', 'of', 'the', 'differential', 'decay', 'rate', 'and', 'theory', 'primarily', 'lattice', 'results', 'to', 'provide', 'normalisation', 'via', 'form', 'factor', 'values']] | [-0.09548925634429563, 0.16782737981290172, -0.09980240107814628, 0.06464490143849888, -0.11604853244278375, -0.1401666932643985, 0.11580746060954114, 0.3568621901501938, -0.2957390308486459, -0.19955900496267898, -0.03760846766393896, -0.3532215925666878, -0.08668527601096104, 0.1308566856832339, 0.08605568783035077, 0.10123180126045797, 0.056393583208014526, 0.003984441843450319, -0.12238302754098916, -0.16797542983416733, 0.30413296829366426, -0.027151497146921364, 0.2081551774016281, 0.06795445865562816, -0.048200731040125226, 0.0725866609920315, -0.0688263523121049, -0.08397790490774305, -0.19064221073769988, 0.11474878877203354, 0.2632189308417829, 0.07693856370664663, 0.10399712523166824, -0.366951877089936, -0.06955871627277393, 0.10156362489833841, 0.16700946980552, 0.08550671698602547, 0.0085249598629362, -0.26049763743772986, 0.06740386152569403, -0.18339091780646813, -0.09920677515553443, -0.13579432384888313, 0.08333699008097917, -0.07842080611515585, -0.362623733475687, 0.08594386383715108, -0.04963783256885573, 0.04617815254677562, -0.011099115149741332, -0.22604599151408344, 0.07441910661712993, 0.10331490688304615, 0.08489912235559383, 0.06497640918764308, 0.12622362269293957, -0.1388936460162073, -0.11462760157883167, 0.39300793504679765, -0.0726497303767819, -0.18934315159242218, 0.0909720858573679, -0.18386198359534262, -0.11116005992883538, 0.17196923446672874, 0.2259102800685003, 0.022715538357912495, -0.17359906722476162, 0.09533027966376614, 0.0006505129987183283, 0.20868352386279135, 0.09388455552576976, 0.03759763185594847, 0.10954484500643599, 0.141653114981128, -0.036243890603274605, 0.06046171499760895, -0.06876597560824842, -0.03542956110735343, -0.36328781962277384, -0.14563542775311103, -0.07579871376529043, 0.09767805061882406, -0.07913084246374494, -0.10326362566760737, 0.31004356638543074, 0.06528358183449179, 0.310849050543909, 0.03277545539647576, 0.300696423841919, 0.1128103268464778, 0.06554708413240742, 0.06788765587367293, 0.25803063295444284, 0.2620383831800702, 0.0631227941127626, -0.2754459603101576, 0.04142845341730423, 0.06532729731682013] |
711.334 | Efficient path sampling on multiple reaction channels | Due to the time scale problem, rare events are not accessible by straight
forward molecular dynamics. The presence of multiple reaction channels
complicates the problem even further. The feasibility of the standard free
energy based methods relies strongly on the success in finding a proper
reaction coordinate. This can be very difficult task in high-dimensional
complex systems and even more if several distinct reaction channels exist.
Moreover, even if a proper reaction coordinate can be found, ergodic sampling
will be a challenge. In this article, we discuss the recent advancements of
path sampling methods to tackle this problem. We argue why the path sampling
methods, via the transition interface sampling technique, is less sensitive to
the choice of reaction coordinate. Moreover, we review a new algorithm,
parallel path swapping, that can dramatically improve the ergodic sampling of
trajectories for the multiple reaction channel systems.
| cond-mat.stat-mech | due to the time scale problem rare events are not accessible by straight forward molecular dynamics the presence of multiple reaction channels complicates the problem even further the feasibility of the standard free energy based methods relies strongly on the success in finding a proper reaction coordinate this can be very difficult task in highdimensional complex systems and even more if several distinct reaction channels exist moreover even if a proper reaction coordinate can be found ergodic sampling will be a challenge in this article we discuss the recent advancements of path sampling methods to tackle this problem we argue why the path sampling methods via the transition interface sampling technique is less sensitive to the choice of reaction coordinate moreover we review a new algorithm parallel path swapping that can dramatically improve the ergodic sampling of trajectories for the multiple reaction channel systems | [['due', 'to', 'the', 'time', 'scale', 'problem', 'rare', 'events', 'are', 'not', 'accessible', 'by', 'straight', 'forward', 'molecular', 'dynamics', 'the', 'presence', 'of', 'multiple', 'reaction', 'channels', 'complicates', 'the', 'problem', 'even', 'further', 'the', 'feasibility', 'of', 'the', 'standard', 'free', 'energy', 'based', 'methods', 'relies', 'strongly', 'on', 'the', 'success', 'in', 'finding', 'a', 'proper', 'reaction', 'coordinate', 'this', 'can', 'be', 'very', 'difficult', 'task', 'in', 'highdimensional', 'complex', 'systems', 'and', 'even', 'more', 'if', 'several', 'distinct', 'reaction', 'channels', 'exist', 'moreover', 'even', 'if', 'a', 'proper', 'reaction', 'coordinate', 'can', 'be', 'found', 'ergodic', 'sampling', 'will', 'be', 'a', 'challenge', 'in', 'this', 'article', 'we', 'discuss', 'the', 'recent', 'advancements', 'of', 'path', 'sampling', 'methods', 'to', 'tackle', 'this', 'problem', 'we', 'argue', 'why', 'the', 'path', 'sampling', 'methods', 'via', 'the', 'transition', 'interface', 'sampling', 'technique', 'is', 'less', 'sensitive', 'to', 'the', 'choice', 'of', 'reaction', 'coordinate', 'moreover', 'we', 'review', 'a', 'new', 'algorithm', 'parallel', 'path', 'swapping', 'that', 'can', 'dramatically', 'improve', 'the', 'ergodic', 'sampling', 'of', 'trajectories', 'for', 'the', 'multiple', 'reaction', 'channel', 'systems']] | [-0.1459726819650516, 0.14191262508393265, -0.09837040600016028, 0.07017844233551943, -0.07977578766682807, -0.15680586070811842, 0.0654012071883901, 0.4132767828802268, -0.327989037396037, -0.2575595736464796, 0.08852210731856758, -0.20598748822926105, -0.15129642989227754, 0.21030152838728908, -0.08218997332733124, 0.06329002601301505, 0.162740183095189, 0.013271503149654664, -0.05403093367042149, -0.2285828925119454, 0.30635067847065833, 0.08129535300476062, 0.28753775062634507, 0.053450410021469, 0.0805775568781731, 0.03483194402037447, -0.040350886360910304, 0.0157620919667857, -0.11440552146031122, 0.11384191196419932, 0.28700601994448033, 0.14975139408488758, 0.2775637107616704, -0.4267112912170382, -0.22228976767898226, 0.15336916244349494, 0.19410932062439518, 0.16105123445029473, -0.05055505539803562, -0.24079736074458602, 0.05436131347475263, -0.14015341832095551, -0.07384041021578014, -0.06151477411589844, -0.019324214808875695, 0.010746645346646093, -0.25821878346000127, 0.04259742838864137, 0.03452255820027656, 0.018786653549694974, 0.0037815080577274784, -0.08654534498540063, 0.04803425758048737, 0.11755414179383984, 0.04859972867739594, 0.04464594399541966, 0.14883051972073089, -0.09108797994526362, -0.1521958794975136, 0.4011153643239393, -0.010387862360706398, -0.25130178607974407, 0.2195788590652228, -0.11156088624718702, -0.1677727428452474, 0.1992389571840047, 0.17607955337734893, 0.168678317338668, -0.21196938176621594, 0.06840795706173391, 0.023471497843679065, 0.12785018965627792, 0.04583101851555208, 0.02268686194373812, 0.1430588233451494, 0.18337567456829776, 0.11303121396728481, 0.08427600327235672, -0.10260248585675275, -0.1364107964392234, -0.2320634633498331, -0.16056415768980514, -0.17871414974474142, 0.043659160720583005, -0.06105761858624545, -0.11632422849975733, 0.32847665313844726, 0.18975285776994294, 0.19596682086638692, 0.02560356083106146, 0.31119794305737336, 0.10922782687379771, 0.035258589199252635, 0.07075598113159584, 0.20832163550787502, 0.0843150337572701, 0.09038881187572972, -0.23076688123102132, 0.11393026757691081, 0.015392875758051459] |
711.3341 | The DRIFT Directional Dark Matter Detector and First Studies of the
Head-Tail Effect | Measurement of the direction of the elastic nuclear recoil track and
ionization charge distribution along it, gives unique possibility for
unambiguous detection of the dark matter WIMP particle. Within current
radiation detection technologies only Time Projection Chambers filled with low
pressure gas are capable of such measurement. Due to the character of the
electronic and nuclear stopping powers of low energy nuclear recoils in the
gas, an asymmetric ionization charge distribution along their tracks may be
expected. Preliminary study of this effect, called Head-Tail, has been carried
out here using the SRIM simulation program for Carbon and Sulfur in 40 Torr
carbon disulfide, as relevant to the DRIFT detector. Investigations were
focused on ion tracks projected onto the axis of the initial direction of
motion in the energy range between 10 and 400 keV. Results indicate the likely
existence of an asymmetry influenced by two competing effects: the nature of
the stopping power and range straggling. The former tends to result in the Tail
being greater than the Head and the latter the reverse. It has been found that
for projected tracks the mean position of the ionization charge flows from
'head' to 'tail' with the magnitude depending on the ion type and its energy.
| physics.ins-det | measurement of the direction of the elastic nuclear recoil track and ionization charge distribution along it gives unique possibility for unambiguous detection of the dark matter wimp particle within current radiation detection technologies only time projection chambers filled with low pressure gas are capable of such measurement due to the character of the electronic and nuclear stopping powers of low energy nuclear recoils in the gas an asymmetric ionization charge distribution along their tracks may be expected preliminary study of this effect called headtail has been carried out here using the srim simulation program for carbon and sulfur in 40 torr carbon disulfide as relevant to the drift detector investigations were focused on ion tracks projected onto the axis of the initial direction of motion in the energy range between 10 and 400 kev results indicate the likely existence of an asymmetry influenced by two competing effects the nature of the stopping power and range straggling the former tends to result in the tail being greater than the head and the latter the reverse it has been found that for projected tracks the mean position of the ionization charge flows from head to tail with the magnitude depending on the ion type and its energy | [['measurement', 'of', 'the', 'direction', 'of', 'the', 'elastic', 'nuclear', 'recoil', 'track', 'and', 'ionization', 'charge', 'distribution', 'along', 'it', 'gives', 'unique', 'possibility', 'for', 'unambiguous', 'detection', 'of', 'the', 'dark', 'matter', 'wimp', 'particle', 'within', 'current', 'radiation', 'detection', 'technologies', 'only', 'time', 'projection', 'chambers', 'filled', 'with', 'low', 'pressure', 'gas', 'are', 'capable', 'of', 'such', 'measurement', 'due', 'to', 'the', 'character', 'of', 'the', 'electronic', 'and', 'nuclear', 'stopping', 'powers', 'of', 'low', 'energy', 'nuclear', 'recoils', 'in', 'the', 'gas', 'an', 'asymmetric', 'ionization', 'charge', 'distribution', 'along', 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711.3342 | Estimation of the Hurst parameter from discrete noisy data | We estimate the Hurst parameter $H$ of a fractional Brownian motion from
discrete noisy data observed along a high frequency sampling scheme. The
presence of systematic experimental noise makes recovery of $H$ more difficult
since relevant information is mostly contained in the high frequencies of the
signal. We quantify the difficulty of the statistical problem in a min-max
sense: we prove that the rate $n^{-1/(4H+2)}$ is optimal for estimating $H$ and
propose rate optimal estimators based on adaptive estimation of quadratic
functionals.
| math.ST stat.TH | we estimate the hurst parameter h of a fractional brownian motion from discrete noisy data observed along a high frequency sampling scheme the presence of systematic experimental noise makes recovery of h more difficult since relevant information is mostly contained in the high frequencies of the signal we quantify the difficulty of the statistical problem in a minmax sense we prove that the rate n14h2 is optimal for estimating h and propose rate optimal estimators based on adaptive estimation of quadratic functionals | [['we', 'estimate', 'the', 'hurst', 'parameter', 'h', 'of', 'a', 'fractional', 'brownian', 'motion', 'from', 'discrete', 'noisy', 'data', 'observed', 'along', 'a', 'high', 'frequency', 'sampling', 'scheme', 'the', 'presence', 'of', 'systematic', 'experimental', 'noise', 'makes', 'recovery', 'of', 'h', 'more', 'difficult', 'since', 'relevant', 'information', 'is', 'mostly', 'contained', 'in', 'the', 'high', 'frequencies', 'of', 'the', 'signal', 'we', 'quantify', 'the', 'difficulty', 'of', 'the', 'statistical', 'problem', 'in', 'a', 'minmax', 'sense', 'we', 'prove', 'that', 'the', 'rate', 'n14h2', 'is', 'optimal', 'for', 'estimating', 'h', 'and', 'propose', 'rate', 'optimal', 'estimators', 'based', 'on', 'adaptive', 'estimation', 'of', 'quadratic', 'functionals']] | [-0.12981106203917506, 0.07151949409981845, -0.0682196773496675, 0.08368474534385044, -0.0822935250737233, -0.13727496321209604, 0.10181571462732038, 0.3811520891333068, -0.3042951311663161, -0.29070665323991834, 0.13842845632533693, -0.2442035297460762, -0.13701549134243074, 0.2001006003342753, -0.15535816841149402, 0.12228552946521912, 0.0695478758878178, 0.03279672146855313, -0.04086394297292479, -0.20107949359549415, 0.24438356118345703, 0.07802480399424647, 0.2891442653389625, -0.04305878421866599, 0.15574029282477028, 0.02144912764556522, -0.12254038349046935, -0.012754080403182242, -0.19288591422001547, 0.1457629402205463, 0.2556321414785437, 0.08081580494116578, 0.35860334571312974, -0.33128517826754644, -0.19719272243709843, 0.1639345483854413, 0.12388126436839408, 0.10142873876072743, -0.03573134164616931, -0.25078212030599883, 0.0623393059078673, -0.0921460286265722, -0.051072215373961276, -0.04416671872460916, 0.028326947391493086, 0.008499428319434324, -0.3480818871592666, 0.18795421567492554, 0.03920371294665484, 0.044554710330694546, -0.07179224427881432, -0.11257871374901798, 0.00531008358998799, 0.07591479913228089, 0.04117144125134305, -0.002539363992975358, 0.14708186604979415, -0.1197865519925584, -0.10272064814372793, 0.35236543879188875, -0.0960208970139286, -0.23243636805506676, 0.13410132831640909, -0.18111996660813873, -0.14164615486300103, 0.18112507508492764, 0.19663974940403145, 0.1266927097372159, -0.14987568552519573, 0.10591449513729592, -0.00169710047474062, 0.16222883590761525, 0.02287173371785033, 0.059410276000652414, 0.109525629353744, 0.14582888986685394, 0.1539435741422629, 0.15730694426729538, -0.17734858127351114, -0.06941663298502933, -0.29323135395706806, -0.1239965855694422, -0.24053147379998807, 0.009032855682753395, -0.14954186240653075, -0.16325336711964122, 0.3581086836058131, 0.20405194917578756, 0.20102870827080843, 0.06396237638043124, 0.285984758241677, 0.16096770287387901, -0.038515834620705354, 0.08144156399389936, 0.20740389666393583, 0.12743019401153297, 0.044053677986893386, -0.23077323253519466, 0.10528392543625316, 0.038938591840251544] |
711.3343 | The ELODIE survey for northern extra-solar planets IV. HD196885, a close
binary star with a 3.7-year planet | Aims:We aim to significantly increase the number of detected extra-solar
planets in a magnitude-limited sample to improve our knowledge of their orbital
element distributions and thus obtain better constraints for planet-formation
models.
Methods: Radial-velocity data were taken at Haute-Provence Observatory (OHP,
France) with the ELODIE echelle spectrograph.
Results: We report the presence of a planet orbiting HD 196885 A, with an
orbital period of 1349 days. This star was previously suggested to host a 386
-day planet, but we cannot confirm its existence. We also detect the presence
of a stellar companion, HD 196885 B, and give some constraints on its orbit.
| astro-ph | aimswe aim to significantly increase the number of detected extrasolar planets in a magnitudelimited sample to improve our knowledge of their orbital element distributions and thus obtain better constraints for planetformation models methods radialvelocity data were taken at hauteprovence observatory ohp france with the elodie echelle spectrograph results we report the presence of a planet orbiting hd 196885 a with an orbital period of 1349 days this star was previously suggested to host a 386 day planet but we cannot confirm its existence we also detect the presence of a stellar companion hd 196885 b and give some constraints on its orbit | [['aimswe', 'aim', 'to', 'significantly', 'increase', 'the', 'number', 'of', 'detected', 'extrasolar', 'planets', 'in', 'a', 'magnitudelimited', 'sample', 'to', 'improve', 'our', 'knowledge', 'of', 'their', 'orbital', 'element', 'distributions', 'and', 'thus', 'obtain', 'better', 'constraints', 'for', 'planetformation', 'models', 'methods', 'radialvelocity', 'data', 'were', 'taken', 'at', 'hauteprovence', 'observatory', 'ohp', 'france', 'with', 'the', 'elodie', 'echelle', 'spectrograph', 'results', 'we', 'report', 'the', 'presence', 'of', 'a', 'planet', 'orbiting', 'hd', '196885', 'a', 'with', 'an', 'orbital', 'period', 'of', '1349', 'days', 'this', 'star', 'was', 'previously', 'suggested', 'to', 'host', 'a', '386', 'day', 'planet', 'but', 'we', 'can', 'not', 'confirm', 'its', 'existence', 'we', 'also', 'detect', 'the', 'presence', 'of', 'a', 'stellar', 'companion', 'hd', '196885', 'b', 'and', 'give', 'some', 'constraints', 'on', 'its', 'orbit']] | [-0.13767297227343644, 0.06483860203255425, -0.13366402905814131, 0.013256334951735164, -0.1884786950297726, -0.10110226396055332, 0.10339608769502165, 0.35930301493160355, -0.11954765045875232, -0.3991221173765879, 0.10600107087577394, -0.30397121262854165, -0.06956918347735429, 0.214071629819849, -0.11595187776550217, 0.017080386339921903, 0.2005862475924411, -0.03937876415303321, -0.019772723800891522, -0.3393605274772181, 0.22608364306987055, 0.10421321617475557, 0.0411407692285562, -0.024789999193936877, 0.039748282561720645, -0.0665892891029746, -0.07514682565550139, -0.0967405562863224, -0.21038510542796943, 0.043892740353363234, 0.23520487857671274, 0.14548979553583902, 0.1916233791282527, -0.3221509066831803, -0.1736661519321785, 0.05617448098921371, 0.14320675697340404, 0.017453145470868035, -0.03135368909044824, -0.31921457128545033, 0.11130825140585815, -0.21112276353981815, -0.19723126733476676, 0.01618878345357851, 0.06878251864493472, 0.0017129301119090546, -0.28125482347784836, 0.0356562622951104, 0.03487848070025155, 0.1940390971100446, -0.193566383954445, -0.17009847353944935, -0.07425656744948073, 0.10108490246664552, -0.0013679767194773676, 0.05398872419197148, 0.07263846626704179, -0.020049731018817397, -0.047891561301917886, 0.3825923424141789, -0.13459268329185842, -0.010630989356816393, 0.2452898088896882, -0.24462185239473594, -0.17727574408144772, 0.12194712871224483, 0.19760829125286886, 0.16510362222392871, -0.17815294642977922, -0.005624195742782531, -0.024478294018619846, 0.22780400753310584, 0.07114350494648357, 0.06385244508454739, 0.34234015025126124, 0.11313600536182668, 0.035367256240666056, 0.05148963619575121, -0.283518682968649, -0.0041825618273895054, -0.12810990098610664, -0.13536125166427562, -0.12147896697979818, 0.013397890889199984, -0.07460718586994561, -0.09775096095772912, 0.35135745499463916, 0.14724380719629163, 0.1666946718198003, 0.036013368813284825, 0.2962141572814254, 0.05595578817148847, 0.0815494236790912, 0.07872558549697538, 0.3186651462639876, 0.14979997470079767, 0.1434132891291192, -0.2820151604675842, 0.0955723793499027, 0.00524585060232762] |
711.3344 | On the nature of the fast moving star S2 in the Galactic Center | We analyze the properties of the star S2 orbiting the supermassive black hole
at the center of the Galaxy. A high quality SINFONI H and K band spectrum
obtained from coadding 23.5 hours of observation between 2004 and 2007 reveals
that S2 is an early B dwarf (B0-2.5V). Using model atmospheres, we constrain
its stellar and wind properties. We show that S2 is a genuine massive star, and
not the core of a stripped giant star as sometimes speculated to resolve the
problem of star formation so close to the supermassive black hole. We give an
upper limit on its mass loss rate, and show that it is He enriched, possibly
because of the presence of a magnetic field.
| astro-ph | we analyze the properties of the star s2 orbiting the supermassive black hole at the center of the galaxy a high quality sinfoni h and k band spectrum obtained from coadding 235 hours of observation between 2004 and 2007 reveals that s2 is an early b dwarf b025v using model atmospheres we constrain its stellar and wind properties we show that s2 is a genuine massive star and not the core of a stripped giant star as sometimes speculated to resolve the problem of star formation so close to the supermassive black hole we give an upper limit on its mass loss rate and show that it is he enriched possibly because of the presence of a magnetic field | [['we', 'analyze', 'the', 'properties', 'of', 'the', 'star', 's2', 'orbiting', 'the', 'supermassive', 'black', 'hole', 'at', 'the', 'center', 'of', 'the', 'galaxy', 'a', 'high', 'quality', 'sinfoni', 'h', 'and', 'k', 'band', 'spectrum', 'obtained', 'from', 'coadding', '235', 'hours', 'of', 'observation', 'between', '2004', 'and', '2007', 'reveals', 'that', 's2', 'is', 'an', 'early', 'b', 'dwarf', 'b025v', 'using', 'model', 'atmospheres', 'we', 'constrain', 'its', 'stellar', 'and', 'wind', 'properties', 'we', 'show', 'that', 's2', 'is', 'a', 'genuine', 'massive', 'star', 'and', 'not', 'the', 'core', 'of', 'a', 'stripped', 'giant', 'star', 'as', 'sometimes', 'speculated', 'to', 'resolve', 'the', 'problem', 'of', 'star', 'formation', 'so', 'close', 'to', 'the', 'supermassive', 'black', 'hole', 'we', 'give', 'an', 'upper', 'limit', 'on', 'its', 'mass', 'loss', 'rate', 'and', 'show', 'that', 'it', 'is', 'he', 'enriched', 'possibly', 'because', 'of', 'the', 'presence', 'of', 'a', 'magnetic', 'field']] | [-0.10338235072006266, 0.06170351108979094, -0.06884490546249485, 0.09557110653554832, -0.1048353331210881, -0.05871024247164191, 0.06450939350524697, 0.3686787404072613, -0.17273713002707494, -0.34857957035113696, 0.09430695230820042, -0.28915686862764217, -0.06454783509153936, 0.1930209795601066, -0.05772632815316714, -0.06935820692333282, 0.10016574118270587, 0.03014239269087754, -0.07125778458282446, -0.270302733217003, 0.30886785615673606, 0.09211301181654809, 0.12447878995010535, 0.028582366858214393, 0.07749425920547318, -0.06610201634427185, -0.000889332345450076, -0.04282784004206375, -0.17556497965384643, 0.037462167243544266, 0.16768258352077298, 0.15732774400779725, 0.20903950797835902, -0.372751805138127, -0.20958573989554355, 0.05150649277074065, 0.15383521415750986, 0.03691466834585545, -0.0951126592709304, -0.27080865027540824, 0.10236069387080488, -0.22843945332629195, -0.16355086102197736, 0.047958090272929396, 0.07962607374213541, -0.015957727106840555, -0.24708264180995776, 0.11326055389915798, 0.08740283862955994, 0.015917508517366327, -0.11492978776134234, -0.04935263088999032, -0.10854286501989148, 0.10360703899493535, 0.06540817997943199, 0.08690228976183019, 0.17983978083830768, -0.11471966588948616, -0.03349666961200409, 0.3826124629210996, -0.09860136126507453, 0.0057023135013878345, 0.24525086514422892, -0.25065540780571793, -0.16065020473689726, 0.1463799259341243, 0.15159193092515155, 0.1647268029411276, -0.1354294236812551, 0.06466183766586532, -0.037276292275005986, 0.20500451508688472, 0.06930061834627542, 0.06032045875585705, 0.39056916107123685, 0.1201039841556448, 0.044501865803564, 0.11857082064547655, -0.2102122630162354, -0.011262185516435716, -0.1986286191711739, -0.1309136919212583, -0.17685777512260603, 0.11719031188594102, -0.10664537397419967, -0.12832554787302675, 0.30342462008534854, 0.06597734161384278, 0.24975579883114007, -0.017302532902311027, 0.23831632016700202, 0.09412224993200467, 0.04390306699225853, 0.14912991528596603, 0.32401746117620395, 0.21017497569969776, 0.07686821358688807, -0.2858092567855808, -0.0007957378165575407, 0.04003515855361849] |
711.3345 | Random Bistochastic Matrices | Ensembles of random stochastic and bistochastic matrices are investigated.
While all columns of a random stochastic matrix can be chosen independently,
the rows and columns of a bistochastic matrix have to be correlated. We
evaluate the probability measure induced into the Birkhoff polytope of
bistochastic matrices by applying the Sinkhorn algorithm to a given ensemble of
random stochastic matrices. For matrices of order N=2 we derive explicit
formulae for the probability distributions induced by random stochastic
matrices with columns distributed according to the Dirichlet distribution. For
arbitrary $N$ we construct an initial ensemble of stochastic matrices which
allows one to generate random bistochastic matrices according to a distribution
locally flat at the center of the Birkhoff polytope. The value of the
probability density at this point enables us to obtain an estimation of the
volume of the Birkhoff polytope, consistent with recent asymptotic results.
| nlin.SI cond-mat.stat-mech math-ph math.MP | ensembles of random stochastic and bistochastic matrices are investigated while all columns of a random stochastic matrix can be chosen independently the rows and columns of a bistochastic matrix have to be correlated we evaluate the probability measure induced into the birkhoff polytope of bistochastic matrices by applying the sinkhorn algorithm to a given ensemble of random stochastic matrices for matrices of order n2 we derive explicit formulae for the probability distributions induced by random stochastic matrices with columns distributed according to the dirichlet distribution for arbitrary n we construct an initial ensemble of stochastic matrices which allows one to generate random bistochastic matrices according to a distribution locally flat at the center of the birkhoff polytope the value of the probability density at this point enables us to obtain an estimation of the volume of the birkhoff polytope consistent with recent asymptotic results | [['ensembles', 'of', 'random', 'stochastic', 'and', 'bistochastic', 'matrices', 'are', 'investigated', 'while', 'all', 'columns', 'of', 'a', 'random', 'stochastic', 'matrix', 'can', 'be', 'chosen', 'independently', 'the', 'rows', 'and', 'columns', 'of', 'a', 'bistochastic', 'matrix', 'have', 'to', 'be', 'correlated', 'we', 'evaluate', 'the', 'probability', 'measure', 'induced', 'into', 'the', 'birkhoff', 'polytope', 'of', 'bistochastic', 'matrices', 'by', 'applying', 'the', 'sinkhorn', 'algorithm', 'to', 'a', 'given', 'ensemble', 'of', 'random', 'stochastic', 'matrices', 'for', 'matrices', 'of', 'order', 'n2', 'we', 'derive', 'explicit', 'formulae', 'for', 'the', 'probability', 'distributions', 'induced', 'by', 'random', 'stochastic', 'matrices', 'with', 'columns', 'distributed', 'according', 'to', 'the', 'dirichlet', 'distribution', 'for', 'arbitrary', 'n', 'we', 'construct', 'an', 'initial', 'ensemble', 'of', 'stochastic', 'matrices', 'which', 'allows', 'one', 'to', 'generate', 'random', 'bistochastic', 'matrices', 'according', 'to', 'a', 'distribution', 'locally', 'flat', 'at', 'the', 'center', 'of', 'the', 'birkhoff', 'polytope', 'the', 'value', 'of', 'the', 'probability', 'density', 'at', 'this', 'point', 'enables', 'us', 'to', 'obtain', 'an', 'estimation', 'of', 'the', 'volume', 'of', 'the', 'birkhoff', 'polytope', 'consistent', 'with', 'recent', 'asymptotic', 'results']] | [-0.08244218233610606, 0.13242865959147013, -0.06941082260002279, 0.02765710069636245, 0.009767846796118343, -0.1286488597268342, 0.0807146662344975, 0.3596458588468118, -0.306598295889368, -0.21774570551982228, 0.11474555588210933, -0.2864005546678325, -0.13953830663780942, 0.07425438811413995, -0.08700043788283235, 0.13172606248796606, 0.03823286965942114, 0.06155029617043005, -0.14511211366496152, -0.26569012064848924, 0.33503236079074367, 0.06527648397928311, 0.26282754463479957, -0.070813460796166, 0.1648171160146982, 0.04092447537307938, -0.05435013245571301, 0.015381331310487035, -0.06642744635852675, 0.12770543717973246, 0.22742509696076418, 0.15071890433318913, 0.2440402986410643, -0.42969489744347, -0.12945538397697318, 0.1886712081646288, 0.10624105572444226, 0.10142935800265857, -0.01105811956545545, -0.28704733968091506, 0.11486237180846122, -0.14234214121663374, -0.17706185389154902, -0.05767563787069068, 0.02090341412824475, 0.05649386292336405, -0.40003086044453084, 0.05606182574410923, 0.05750369177743172, -0.003339120433237339, 0.00298549112752274, -0.18078700001610237, 0.03456408602909909, 0.10899709715482055, -0.013246513421310939, -0.015288776278288828, 0.13395121444611707, -0.0031702372531172943, -0.10481312206765223, 0.32259257487668136, -0.047082925536314074, -0.25665029750153834, 0.0961086186256984, -0.17142859303082028, -0.14614313301798473, 0.15851701666381107, 0.18664299480668786, 0.09597152058267966, -0.16445341505136135, 0.1062217247793645, -0.11361375032397013, 0.09936126679308978, 0.06540796507680272, -0.014837620430625975, 0.16834613231347045, 0.03464537317631766, 0.14443816391253173, 0.1730265972594983, -0.04039230622260624, -0.14642303607737026, -0.24872579427998667, -0.12178070605538475, -0.25257692249902497, 0.10953910795635441, -0.21835865002402796, -0.22267426747324257, 0.3905440626355509, 0.11933282901655831, 0.2803028556647607, 0.1417271699044957, 0.19903392045267132, 0.15684996597054932, -0.003917897462088149, 0.08500454203587854, 0.07535064443557833, 0.25655314468895085, -0.000855884085164386, -0.1818370372622869, 0.09213228246678934, 0.15441990469440092] |
711.3346 | Constraints on Large-Scale Magnetic Fields from the Auger Results | A recent article from the Pierre Auger Collaboration links the direction of
charged cosmic rays to possible extragalactic sites of emission. The
correlation of the direction of such particles with the direction of the
emitter allows constraining the value of large-scale magnetic fields B.
Assuming for B a coherence length in the range between 1 Mpc and 10 Mpc, we
find values of B between 0.3 and 0.9 nG.
| astro-ph | a recent article from the pierre auger collaboration links the direction of charged cosmic rays to possible extragalactic sites of emission the correlation of the direction of such particles with the direction of the emitter allows constraining the value of largescale magnetic fields b assuming for b a coherence length in the range between 1 mpc and 10 mpc we find values of b between 03 and 09 ng | [['a', 'recent', 'article', 'from', 'the', 'pierre', 'auger', 'collaboration', 'links', 'the', 'direction', 'of', 'charged', 'cosmic', 'rays', 'to', 'possible', 'extragalactic', 'sites', 'of', 'emission', 'the', 'correlation', 'of', 'the', 'direction', 'of', 'such', 'particles', 'with', 'the', 'direction', 'of', 'the', 'emitter', 'allows', 'constraining', 'the', 'value', 'of', 'largescale', 'magnetic', 'fields', 'b', 'assuming', 'for', 'b', 'a', 'coherence', 'length', 'in', 'the', 'range', 'between', '1', 'mpc', 'and', '10', 'mpc', 'we', 'find', 'values', 'of', 'b', 'between', '03', 'and', '09', 'ng']] | [-0.14589191434324544, 0.18317718138459368, 0.02132499812886227, 0.04841272527540939, -0.0418158118761536, -0.04737409756289444, 0.03807132605436272, 0.3841455807180508, -0.26325983029074856, -0.38988811121173744, -0.02855800834747598, -0.32541210021409445, -0.006923121548649194, 0.18019526181877524, 0.1105020115678401, -0.015019738606128341, 0.0216145110991446, -0.018521658144891262, -0.020425715255112373, -0.1768992686563212, 0.2767800734297413, 0.14893805632448714, 0.23880500109542324, 0.07565275825344134, 0.10388783903360582, 0.01655492552495359, -0.04964684275910258, 0.016325424209345078, -0.15152950622681258, 0.11676123219122941, 0.16468244017628225, 0.10914939115552799, 0.19495544031910275, -0.35335380438229314, -0.15656694937227428, 0.12997019433321944, 0.14570361903558174, 0.04747739113678319, -0.0401707603663638, -0.3093451365248125, 0.08944464690200445, -0.12159128902493503, -0.13776877144540567, 0.10961253086671881, 0.06785148643024698, 0.04840654587926532, -0.2638203912023185, 0.1331537728994221, -0.0004415803764393364, 0.07593703438676354, -0.05689573135527283, -0.12757492358323888, 0.022782593729325396, 0.09820816215748589, 0.1216687773340854, 0.12704221117377712, 0.16635215589506686, -0.12871771866280207, -0.11907985616067046, 0.3645744303214377, -0.07741647836097611, -0.06423037797482549, 0.1818018661030784, -0.22495754986353542, -0.11154301227002904, 0.11945212842977565, 0.16076327820200528, 0.07795406723195902, -0.13968106681831938, 0.10409656209378516, -0.0018426178536121397, 0.1878309554649868, 0.06195648370877556, 0.03493291374457919, 0.2533184598314751, 0.10677860742029936, 0.1147858641596268, 0.05742080993545444, -0.2222656834114721, 0.008360810914461541, -0.2921972168420536, -0.17099371301415173, -0.14704894119252762, 0.11354457155085992, -0.13566314958101747, -0.08484375703593959, 0.41654859423853347, 0.14159429093579884, 0.21908954590343047, 0.029976173789928787, 0.2173982338466938, -0.0013664969634534657, 0.04337948069323961, 0.0971798732964511, 0.33277065557954105, 0.19039757342745914, 0.11762300822073998, -0.1900782003776049, 0.011120564393712666, -0.024501847710622394] |
711.3347 | Straight Quantum Waveguide with Robin Boundary Conditions | We investigate spectral properties of a quantum particle confined to an
infinite straight planar strip by imposing Robin boundary conditions with
variable coupling. Assuming that the coupling function tends to a constant at
infinity, we localize the essential spectrum and derive a sufficient condition
which guarantees the existence of bound states. Further properties of the
associated eigenvalues and eigenfunctions are studied numerically by the
mode-matching technique.
| math-ph math.MP math.SP quant-ph | we investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing robin boundary conditions with variable coupling assuming that the coupling function tends to a constant at infinity we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states further properties of the associated eigenvalues and eigenfunctions are studied numerically by the modematching technique | [['we', 'investigate', 'spectral', 'properties', 'of', 'a', 'quantum', 'particle', 'confined', 'to', 'an', 'infinite', 'straight', 'planar', 'strip', 'by', 'imposing', 'robin', 'boundary', 'conditions', 'with', 'variable', 'coupling', 'assuming', 'that', 'the', 'coupling', 'function', 'tends', 'to', 'a', 'constant', 'at', 'infinity', 'we', 'localize', 'the', 'essential', 'spectrum', 'and', 'derive', 'a', 'sufficient', 'condition', 'which', 'guarantees', 'the', 'existence', 'of', 'bound', 'states', 'further', 'properties', 'of', 'the', 'associated', 'eigenvalues', 'and', 'eigenfunctions', 'are', 'studied', 'numerically', 'by', 'the', 'modematching', 'technique']] | [-0.1739740165648982, 0.15537189350972325, -0.09770860616823263, 0.05337678212108034, -0.06551683065834257, -0.18466975101777774, 0.0424598102690652, 0.3558261748403311, -0.22888183288600747, -0.27243066548059386, 0.12531238163920175, -0.23431538107494512, -0.1066539111092094, 0.1047179874043319, 0.007514850575138222, 0.12722924739743272, 0.07184078857288555, 0.05191484276932015, -0.060977787166572824, -0.16318798906198054, 0.33952986060952145, 0.04399260805715158, 0.2794138021223868, 0.11116271825140399, 0.0738141946256457, 0.004676898468680905, 0.05386009283194488, 0.014510122424160892, -0.23339696961270281, 0.05603751100980761, 0.15691225498096284, 0.027624343380783543, 0.257530274603403, -0.43506703722276585, -0.178984878431286, 0.11887712996791709, 0.16994880425574427, 0.045644510246347636, -0.026054344408101206, -0.28360863648016343, 0.09701483882963657, -0.0620492830533873, -0.2671738538157308, -0.03188019935888323, -0.01744139086010612, 0.017768707221627912, -0.30227850432592357, 0.061396682733726324, 0.07969915928939979, 0.0011746268719434738, -0.09670689653351226, -0.036850966033384655, -0.03701192876465167, 0.10678678298735934, 0.023304009584314896, -0.05562016916122626, 0.08044344648916388, -0.12302384305847668, -0.06846515966268878, 0.30448890133111767, -0.09639476114093806, -0.2674481495085991, 0.18793373326347632, -0.12373664950648548, -0.08009542133941343, 0.1259464221145732, 0.13622929914995577, 0.15138060931172787, -0.1465349840988038, 0.14473788679937238, -0.0315664836300791, 0.13126448239905364, 0.12380583113708506, 0.06303472045780809, 0.16067603275631415, 0.06964158729621858, 0.11786288909162536, 0.22239023725022422, -0.06527895200027463, -0.07157537480110698, -0.35645809481767093, -0.12622963728570152, -0.2211804663564897, 0.06614428722638298, -0.10959881172951128, -0.2189431284187418, 0.4025823295285756, 0.0835684974339198, 0.22977055774500707, 0.05403319586978548, 0.22598193392552662, 0.2044431370511919, 0.025655953710983424, 0.09644621231762524, 0.23942099326064414, 0.22796709494044384, 0.041105571231155685, -0.26881889078878995, 0.0045897621259262614, 0.10128716292621737] |
711.3348 | Example of a possible interpretation of Tsallis entropy | We demonstrate and discuss the process of gaining information and show an
example in which some specific way of gaining information about an object
results in the Tsallis form of entropy rather than in the Shannon one.
| cond-mat.stat-mech cond-mat.other hep-ph | we demonstrate and discuss the process of gaining information and show an example in which some specific way of gaining information about an object results in the tsallis form of entropy rather than in the shannon one | [['we', 'demonstrate', 'and', 'discuss', 'the', 'process', 'of', 'gaining', 'information', 'and', 'show', 'an', 'example', 'in', 'which', 'some', 'specific', 'way', 'of', 'gaining', 'information', 'about', 'an', 'object', 'results', 'in', 'the', 'tsallis', 'form', 'of', 'entropy', 'rather', 'than', 'in', 'the', 'shannon', 'one']] | [-0.0575380554875812, 0.05738417816276008, -0.11647693702095263, 0.10116131808727742, -0.034167778174820786, -0.09964781370316003, 0.043517015874385834, 0.3257252299100966, -0.28879859811953595, -0.30459399108548424, 0.10339351480738637, -0.326793938749344, -0.1373603033354959, 0.25528130962236506, -0.11110065771719894, 0.023717267942186947, 0.035527918833886854, 0.18204852485576192, -0.08479880635953836, -0.22974958935299436, 0.3365173760008671, 0.061211158169081084, 0.2629571053627375, 0.1084718524251838, 0.11314499468819515, 0.03091949804660839, -0.06437326854447255, -0.03879644860186287, -0.17405297347923387, 0.1886710561811924, 0.2161738093237619, 0.21623003286485737, 0.30850854717396403, -0.4161973440063161, -0.24474120215588324, 0.06238342909066862, 0.15085400079653874, 0.10792014950168999, -0.10299923326316718, -0.27535300329327583, 0.034172596862992725, -0.22157491685671582, -0.07463224332880329, -0.12204984152639234, 0.014608933112105808, -0.023330007855956618, -0.233877269123253, 0.061252902840843074, 0.17233128878413825, 0.08224338750556312, -0.05325432839123784, -0.125512016232352, -0.03153962990571115, 0.11634864981563107, 0.06590460041912298, 0.0012452123699256696, 0.14003562119260832, -0.2220516922267003, -0.11877109329342037, 0.35640569519553633, -0.0029984109840714497, -0.20968356887130318, 0.13752587036405867, -0.1914716294991809, -0.11845230467214778, 0.04303128338997831, 0.12774537340108608, 0.12448393845477619, -0.18810163882586198, -0.03477423230651766, -1.6266731797037898e-05, 0.1697009252636014, 0.03808884184203438, 0.1509367053371829, 0.1905013314020392, 0.17404268390020808, 0.059172882912428795, 0.21775863828716446, -0.05723853136186261, -0.17022758639241392, -0.24188801867736354, -0.25870655864678527, -0.20122781773475376, 0.030498607153375004, -0.14002145849391692, -0.1087586400547455, 0.34613483325527933, 0.22240553350176825, 0.2694476101094404, -0.0026955617610616863, 0.27674795073029157, 0.1098604207304684, 0.022856427155233717, 0.12188864157006547, 0.1996599553016052, 0.09700545769285511, 0.10741320705494366, -0.13024796321484688, 0.07124193046695075, -0.007705868750407889] |
711.3349 | Ferromagnetism in QCD phase diagram | A possibility and properties of spontaneous magnetization in quark matter are
investigated. Magnetic susceptibility is evaluated within Fermi liquid theory,
taking into account of the screening effect of gluons. Spin wave in the
polarized quark matter, as the Nambu-Goldstone mode, is formulated by way of
the coherent-state path integral.
| hep-ph | a possibility and properties of spontaneous magnetization in quark matter are investigated magnetic susceptibility is evaluated within fermi liquid theory taking into account of the screening effect of gluons spin wave in the polarized quark matter as the nambugoldstone mode is formulated by way of the coherentstate path integral | [['a', 'possibility', 'and', 'properties', 'of', 'spontaneous', 'magnetization', 'in', 'quark', 'matter', 'are', 'investigated', 'magnetic', 'susceptibility', 'is', 'evaluated', 'within', 'fermi', 'liquid', 'theory', 'taking', 'into', 'account', 'of', 'the', 'screening', 'effect', 'of', 'gluons', 'spin', 'wave', 'in', 'the', 'polarized', 'quark', 'matter', 'as', 'the', 'nambugoldstone', 'mode', 'is', 'formulated', 'by', 'way', 'of', 'the', 'coherentstate', 'path', 'integral']] | [-0.1702697067236414, 0.32390117785912387, -0.1401448832558734, 0.10303736191566046, -0.07405838033906659, -0.055215708483770796, 0.05215396249087109, 0.35188661610745653, -0.22305735356497522, -0.2584332042962921, -0.02514395074519728, -0.26653570632393264, -0.05506431030071512, 0.13415199069648373, 0.11039951249329867, 0.05755299970279543, -0.05832748020029798, 0.017501779708403106, -0.06225499319748915, -0.20498853374500664, 0.32423341556509233, -0.0462431437811073, 0.2817628088654304, 0.1295048327432299, 0.12211106012442283, 0.1012591725709487, 0.02447510959238422, 0.013708766302740087, -0.04056844535302751, -0.010639607108065061, 0.2007426903749417, -0.029680398273832943, 0.16014875753839708, -0.46056632188205815, -0.2459481064401263, 0.015283652961406172, 0.13360641202034088, 0.11394798778453652, -0.04485473147004235, -0.3395588659510321, 0.013216442504555595, -0.20903924647338537, -0.17423184638918968, -0.123405465514076, -0.02891201918412532, -0.05675995005924274, -0.24300208351365765, 0.13259132115208372, 0.01165665085522496, 0.01156468563998232, -0.07657022251538476, -0.14521812820541008, -0.08227511199799423, 0.02090999925014924, 0.14697328718303113, 0.07293501195535824, 0.1966034130036489, -0.23191947242416136, -0.12963187504483728, 0.4262542846061441, -0.08000819639739942, -0.14758622442961347, 0.03691136461625598, -0.18681918518921856, -0.048434316133129963, 0.1803800458639708, 0.14890614870403493, 0.08742870507780842, -0.21958497221752696, 0.1116072634147119, -0.03350557139997456, 0.1308330808367048, 0.05481485942169568, 0.11728787430733138, 0.3499264708687183, 0.23825395810512864, -0.047084139688510676, 0.1756857454453652, -0.11010229180814052, -0.11085808895794409, -0.31097105077030707, -0.15338081231682885, -0.1951198946816457, 0.04041025504482938, -0.05153744478623278, -0.11523324267330523, 0.39794283744175823, 0.07361143508127757, 0.09285320965953324, -0.052472440259797234, 0.30184491450081063, 0.1455576127675381, 0.07115358673036098, 0.04674255551428211, 0.2871357704683834, 0.2698441905834313, 0.0739115196071109, -0.33306280422803697, -0.014863370993763817, 0.08564388610384598] |
711.335 | Boundary proximity of SLE | This paper examines how close the chordal $\SLE_\kappa$ curve gets to the
real line asymptotically far away from its starting point. In particular, when
$\kappa\in(0,4)$, it is shown that if $\beta>\beta_\kappa:=1/(8/\kappa-2)$,
then the intersection of the $\SLE_\kappa$ curve with the graph of the function
$y=x/(\log x)^{\beta}$, $x>e$, is a.s. bounded, while it is a.s. unbounded if
$\beta=\beta_\kappa$. The critical $\SLE_4$ curve a.s. intersects the graph of
$y=x^{-(\log\log x)^\alpha}$, $x>e^e$, in an unbounded set if $\alpha\le 1$,
but not if $\alpha>1$. Under a very mild regularity assumption on the function
$y(x)$, we give a necessary and sufficient integrability condition for the
intersection of the $\SLE_\kappa$ path with the graph of $y$ to be unbounded.
We also prove that the Hausdorff dimension of the intersection set of the
$\SLE_{\kappa}$ curve and real axis is $2-8/\kappa$ when $4<\kappa<8$.
| math.PR math.CV | this paper examines how close the chordal sle_kappa curve gets to the real line asymptotically far away from its starting point in particular when kappain04 it is shown that if betabeta_kappa18kappa2 then the intersection of the sle_kappa curve with the graph of the function yxlog xbeta xe is as bounded while it is as unbounded if betabeta_kappa the critical sle_4 curve as intersects the graph of yxloglog xalpha xee in an unbounded set if alphale 1 but not if alpha1 under a very mild regularity assumption on the function yx we give a necessary and sufficient integrability condition for the intersection of the sle_kappa path with the graph of y to be unbounded we also prove that the hausdorff dimension of the intersection set of the sle_kappa curve and real axis is 28kappa when 4kappa8 | [['this', 'paper', 'examines', 'how', 'close', 'the', 'chordal', 'sle_kappa', 'curve', 'gets', 'to', 'the', 'real', 'line', 'asymptotically', 'far', 'away', 'from', 'its', 'starting', 'point', 'in', 'particular', 'when', 'kappain04', 'it', 'is', 'shown', 'that', 'if', 'betabeta_kappa18kappa2', 'then', 'the', 'intersection', 'of', 'the', 'sle_kappa', 'curve', 'with', 'the', 'graph', 'of', 'the', 'function', 'yxlog', 'xbeta', 'xe', 'is', 'as', 'bounded', 'while', 'it', 'is', 'as', 'unbounded', 'if', 'betabeta_kappa', 'the', 'critical', 'sle_4', 'curve', 'as', 'intersects', 'the', 'graph', 'of', 'yxloglog', 'xalpha', 'xee', 'in', 'an', 'unbounded', 'set', 'if', 'alphale', '1', 'but', 'not', 'if', 'alpha1', 'under', 'a', 'very', 'mild', 'regularity', 'assumption', 'on', 'the', 'function', 'yx', 'we', 'give', 'a', 'necessary', 'and', 'sufficient', 'integrability', 'condition', 'for', 'the', 'intersection', 'of', 'the', 'sle_kappa', 'path', 'with', 'the', 'graph', 'of', 'y', 'to', 'be', 'unbounded', 'we', 'also', 'prove', 'that', 'the', 'hausdorff', 'dimension', 'of', 'the', 'intersection', 'set', 'of', 'the', 'sle_kappa', 'curve', 'and', 'real', 'axis', 'is', '28kappa', 'when', '4kappa8']] | [-0.11611445681390518, 0.09639411281928323, -0.11555066750233256, 0.055927857228684735, -0.07411032931359354, -0.19151312586952493, 0.03962319214600896, 0.376667870598477, -0.3196067175459723, -0.15762069321042577, 0.15416775910046615, -0.319956464259777, -0.1452913564528779, 0.19143924184230177, -0.1167748161598809, 0.041691797811631834, 0.07433179396478994, 0.12530407424841994, -0.023660804567382086, -0.26790371270784424, 0.36951095346621304, -0.04339380908122127, 0.1843847060709643, 0.09566917675213397, 0.12634718615215185, 0.004024864369353583, 0.07872764277993882, 0.028151064779060757, -0.18515353542700674, 0.02823413961906304, 0.20212480691514273, 0.1595535816213246, 0.20504107584007258, -0.3461147071143916, -0.1538435373375871, 0.2145777564737657, 0.1454490138752054, -0.03215913765327355, 0.04126105977983986, -0.21513647989319393, 0.15403372084930275, -0.04560841214229432, -0.22098323125247807, 0.008643912079260331, 0.11125816211515907, 0.019192954813682495, -0.27055790775289484, 0.014341173453261902, 0.13859780505299568, 0.08319593573985405, -0.014189301422335092, -0.07288285406205312, -0.11558613505633186, 0.05529466108734857, 0.03814094397780854, 0.12330522070920398, 0.07733604017385216, -0.08943571969541873, -0.03432413374521416, 0.379912661428224, -0.05193075518188781, -0.21671851147543783, 0.12250837672306875, -0.22183952292304687, -0.12977162824019559, 0.10071401936615738, 0.06845002527197086, 0.1297317574580395, -0.0922022391692284, 0.18456852559610307, -0.08260523244132136, 0.10956730594061669, 0.0853285453924837, -0.026090583258647788, 0.12003691611946209, 0.09881802608056875, 0.17875385699548232, 0.15389241818464974, -0.05253151260576276, -0.049840850466790126, -0.38470258747133634, -0.1405199562567611, -0.2017111947124665, 0.12297520139843475, -0.17105640443885706, -0.22696390996427435, 0.33394965859014514, 0.10314121103914123, 0.23746688395392063, 0.12675238154510887, 0.26947721189191176, 0.15168298087186585, -0.025931747083357253, 0.16481013629267843, 0.15287463882461536, 0.11934415049591036, 0.0593742416871986, -0.1495535017673446, 0.09386825681187559, 0.09786955942975108] |
711.3351 | Three dimensional vortices in Abelian Gauge Theories | In this paper we consider an Abelian Gauge Theory in R^4 equipped with the
Minkowski metric. This theory leads to a system of equations, the
Klein-Gordon-Maxwell equations, which provide models for the interaction
between the electromagnetic field and matter. A three dimensional vortex is a
finite energy solution of these equations in which the magnetic field looks
like the field created by a finite solenoid. Under suitable assumptions, we
prove the existence of vortex-solutions.
| math.AP math-ph math.MP | in this paper we consider an abelian gauge theory in r4 equipped with the minkowski metric this theory leads to a system of equations the kleingordonmaxwell equations which provide models for the interaction between the electromagnetic field and matter a three dimensional vortex is a finite energy solution of these equations in which the magnetic field looks like the field created by a finite solenoid under suitable assumptions we prove the existence of vortexsolutions | [['in', 'this', 'paper', 'we', 'consider', 'an', 'abelian', 'gauge', 'theory', 'in', 'r4', 'equipped', 'with', 'the', 'minkowski', 'metric', 'this', 'theory', 'leads', 'to', 'a', 'system', 'of', 'equations', 'the', 'kleingordonmaxwell', 'equations', 'which', 'provide', 'models', 'for', 'the', 'interaction', 'between', 'the', 'electromagnetic', 'field', 'and', 'matter', 'a', 'three', 'dimensional', 'vortex', 'is', 'a', 'finite', 'energy', 'solution', 'of', 'these', 'equations', 'in', 'which', 'the', 'magnetic', 'field', 'looks', 'like', 'the', 'field', 'created', 'by', 'a', 'finite', 'solenoid', 'under', 'suitable', 'assumptions', 'we', 'prove', 'the', 'existence', 'of', 'vortexsolutions']] | [-0.20859634048129255, 0.15805780848451242, -0.11971008301888769, 0.06481737774840833, -0.054014248270038014, -0.11131433562400776, -0.05468557752366807, 0.29167574732186824, -0.23257679993135705, -0.25795127790597444, 0.062117658028492354, -0.23691992595087033, -0.12918581918347627, 0.149790611797692, -0.026032793964888598, 0.004876911168213229, 0.009465452824794763, 0.10842825910367537, -0.09317632053185858, -0.22576086694135558, 0.4059827613795327, -0.03207250533474458, 0.2637652497537233, 0.03528206874349003, 0.16254548737275842, 0.00306147218971337, 0.02214624425648032, 0.07695160486508866, -0.13751529300635731, 0.1057300596384684, 0.21993940760605896, 0.038971671082607996, 0.24708509114822624, -0.47820767722520474, -0.21199611652441122, 0.10695806412479363, 0.0769573360228458, 0.11585040712049482, -0.08953075745533146, -0.29682389430299, 0.07400817745302275, -0.16525398089072188, -0.19797190073783183, -0.06070536298274591, -0.020881474239915307, 0.02183725915352084, -0.2791813709143851, 0.023016741121741565, 0.0770190278244381, 0.07022428362806504, -0.13657475344685688, -0.010681607148521958, 0.02848406694829464, 0.013842633362179873, 0.09148546686314198, 0.06117561537885686, 0.05740005870009898, -0.17748823387650978, -0.08808467174074738, 0.397429282651157, -0.11690582424037259, -0.26889319972109954, 0.15741951413754676, -0.1278230013338396, -0.09787566236195129, 0.10688314702663873, 0.16824918635491584, 0.1443699051506465, -0.15319570311269648, 0.2005469736987662, -0.07563948645917196, 0.12005596182535629, 0.05516133609706083, 0.01602618838031147, 0.20574067682782943, 0.1458355139223607, 0.09315925188412941, 0.15454585197054455, -0.029702837650581165, -0.10179844925280761, -0.3746999028843601, -0.1770374551289589, -0.09985647515418965, 0.11833524650491371, -0.0935762272530229, -0.2303035993103844, 0.3728820747519667, 0.15014927656188407, 0.1288348606852909, 0.014853681919064271, 0.2652990526293178, 0.13921459811437573, 0.043606506080077205, 0.07638849716356678, 0.23045443647817984, 0.19535272397302292, 0.10316938884254243, -0.20692339950442515, -0.10050194220290191, 0.13676544073717417] |
711.3352 | An Approach to SU_q(2)p Gauge Theory | In the usual approach to q-deformed gauge theories, the gauge fields are
required to be non-local or non-commutative one's. If we introduce, however, an
extended product, which we call `` $\star$-product\rq\rq, among the generators
of a q-deformed Lie group, the deformed group can be reduced to a ordinary Lie
group under the $\star$-product. According to this line of approach, we try to
construct a $[SU_q(2)\times U(1)]_\star$, a $SU(2)\times U(1)$ analogue under
the $\star$-product, gauge theory. In this gauge theory with the
$\star$-product, the U(1) symmetry is naturally incorporated into the SU(2)
symmetry. We also study the symmetry breaking by the Higgs mechanism associated
with $J=1/2$ and J=1 representations of $SU_q(2)$ algebra, and show that the
mixing angle between the SU(2) and U(1) gauge fields is determined uniquely in
a tree level.
| hep-th | in the usual approach to qdeformed gauge theories the gauge fields are required to be nonlocal or noncommutative ones if we introduce however an extended product which we call starproductrqrq among the generators of a qdeformed lie group the deformed group can be reduced to a ordinary lie group under the starproduct according to this line of approach we try to construct a su_q2times u1_star a su2times u1 analogue under the starproduct gauge theory in this gauge theory with the starproduct the u1 symmetry is naturally incorporated into the su2 symmetry we also study the symmetry breaking by the higgs mechanism associated with j12 and j1 representations of su_q2 algebra and show that the mixing angle between the su2 and u1 gauge fields is determined uniquely in a tree level | [['in', 'the', 'usual', 'approach', 'to', 'qdeformed', 'gauge', 'theories', 'the', 'gauge', 'fields', 'are', 'required', 'to', 'be', 'nonlocal', 'or', 'noncommutative', 'ones', 'if', 'we', 'introduce', 'however', 'an', 'extended', 'product', 'which', 'we', 'call', 'starproductrqrq', 'among', 'the', 'generators', 'of', 'a', 'qdeformed', 'lie', 'group', 'the', 'deformed', 'group', 'can', 'be', 'reduced', 'to', 'a', 'ordinary', 'lie', 'group', 'under', 'the', 'starproduct', 'according', 'to', 'this', 'line', 'of', 'approach', 'we', 'try', 'to', 'construct', 'a', 'su_q2times', 'u1_star', 'a', 'su2times', 'u1', 'analogue', 'under', 'the', 'starproduct', 'gauge', 'theory', 'in', 'this', 'gauge', 'theory', 'with', 'the', 'starproduct', 'the', 'u1', 'symmetry', 'is', 'naturally', 'incorporated', 'into', 'the', 'su2', 'symmetry', 'we', 'also', 'study', 'the', 'symmetry', 'breaking', 'by', 'the', 'higgs', 'mechanism', 'associated', 'with', 'j12', 'and', 'j1', 'representations', 'of', 'su_q2', 'algebra', 'and', 'show', 'that', 'the', 'mixing', 'angle', 'between', 'the', 'su2', 'and', 'u1', 'gauge', 'fields', 'is', 'determined', 'uniquely', 'in', 'a', 'tree', 'level']] | [-0.15537214433906352, 0.2195397086825825, -0.10099167942608464, 0.09552530500685841, -0.13864391235502685, -0.13206228559220753, -0.011610151695703544, 0.3851225794949312, -0.26433439873613596, -0.23417236959363708, 0.06686624728773874, -0.2033260107832396, -0.17055315092228002, 0.06221876678966338, -0.05260751944211289, -0.03899028476723653, -0.04722196654981281, 0.10873418984619358, -0.15511600233570444, -0.24180225628120164, 0.3568408437381227, -0.013697063015025901, 0.2763072172451148, -0.018279239327250795, 0.12530437187020352, 0.020443627614469276, 0.034580592781041315, -0.04028294011305396, -0.08915869123331045, 0.11430054253304568, 0.22548948722986842, 0.021883726508657293, 0.12698326746595834, -0.3923313319389745, -0.15569889837120637, 0.13763566631970442, 0.12927669939753694, 0.09897729419043479, -0.02533262976313259, -0.37356731294118983, 0.062459672427200894, -0.2472040817805192, -0.14213689193624535, -0.10083739561080111, -0.05940558180931633, -0.11453018135915503, -0.26883519102093273, 0.05198233524739823, 0.00967489068000394, 0.06722236496550361, -0.04616004374156904, -0.03111544515805568, -0.11058336027758563, 0.03547577922027118, 0.10621020724028936, 0.06336905752509414, 0.11397662973599729, -0.14634004994625532, -0.1603879348602234, 0.45189902265592824, -0.0619004113658324, -0.2800946550424977, 0.11056208354787622, -0.1363913751785702, -0.22164555660661633, 0.08320934866650367, 0.09664656572762555, 0.09089670562383345, -0.1119280078734352, 0.2145707369199954, -0.093464996277054, 0.10255126560777866, 0.025335046217050843, 0.023044669586343793, 0.19013828376498748, 0.05514537264394948, 0.07069618285699623, 0.13230383099702106, 0.03858134719885988, -0.1367610515714953, -0.402517100693438, -0.18541611743060593, -0.10249222341858906, 0.13306715561069665, -0.08177454023418937, -0.0912688631907208, 0.38959818114856565, 0.14747971119945796, 0.1715697654665954, 0.03353051224257797, 0.17160531970136983, 0.1511706539363725, 0.16674124157628206, 0.00994186318941473, 0.17128818475927307, 0.24490102910158026, -0.02645972594765462, -0.23775363127576318, -0.1413708847450591, 0.20094710264692273] |
711.3353 | On orbits of antichains of positive roots | For any finite poset P, there is a natural operator $X$ acting on the
antichains of P. We discuss conjectural properties of this operator for some
graded posets associated with irreducible root systems. In particular, if
$\Delta^+$ is the set of positive roots and $\Pi$ is the set of simple roots in
$\Delta^+$, then we consider the cases $P=\Delta^+$ and $\Delta^+\setminus
\Pi$. For the root system of type $A_n$, we consider an $X$-invariant
integer-valued function on the set of antichains of $\Delta^+$ and establish
some properties of it.
| math.CO math.RT | for any finite poset p there is a natural operator x acting on the antichains of p we discuss conjectural properties of this operator for some graded posets associated with irreducible root systems in particular if delta is the set of positive roots and pi is the set of simple roots in delta then we consider the cases pdelta and deltasetminus pi for the root system of type a_n we consider an xinvariant integervalued function on the set of antichains of delta and establish some properties of it | [['for', 'any', 'finite', 'poset', 'p', 'there', 'is', 'a', 'natural', 'operator', 'x', 'acting', 'on', 'the', 'antichains', 'of', 'p', 'we', 'discuss', 'conjectural', 'properties', 'of', 'this', 'operator', 'for', 'some', 'graded', 'posets', 'associated', 'with', 'irreducible', 'root', 'systems', 'in', 'particular', 'if', 'delta', 'is', 'the', 'set', 'of', 'positive', 'roots', 'and', 'pi', 'is', 'the', 'set', 'of', 'simple', 'roots', 'in', 'delta', 'then', 'we', 'consider', 'the', 'cases', 'pdelta', 'and', 'deltasetminus', 'pi', 'for', 'the', 'root', 'system', 'of', 'type', 'a_n', 'we', 'consider', 'an', 'xinvariant', 'integervalued', 'function', 'on', 'the', 'set', 'of', 'antichains', 'of', 'delta', 'and', 'establish', 'some', 'properties', 'of', 'it']] | [-0.20567679764895602, 0.1043813033847355, -0.03421164641756265, 0.04639289135530848, -0.0696869609213766, -0.12804069938994517, 0.04100705480909553, 0.3213258458451293, -0.3625680900007572, -0.1408356750469612, 0.0734733874700835, -0.3312385270971505, -0.14104272217500483, 0.17494090209747182, -0.06968097981793442, 0.017477065993836898, 0.03215905615856507, 0.1659276221809245, -0.07654587458819151, -0.23581214397396336, 0.39926693521054657, -0.09042476345691294, 0.14143397933107682, 0.06267037048357828, 0.12530379879406128, 0.0184774039361369, 0.025047832543308706, -0.006646357606361311, -0.19866077292539264, 0.06217775007592107, 0.24152123276144266, 0.12926017332971954, 0.23416595426441608, -0.3518169750941211, -0.07009241961734905, 0.2560455436957465, 0.1240650898958931, -0.01981509308833843, -0.003219019988252, -0.20986490884003625, 0.1606017297305081, -0.15987700797703075, -0.1764776886162487, -0.03381425927221861, 0.1399815977262012, 0.06653768889306264, -0.3114102819570522, 0.02666644802873676, 0.10059565237198753, 0.146231673818467, -0.020580097513765782, -0.1995587094041958, -0.0076094101498909725, 0.061231182700815213, -0.024113366904871904, 0.025607744589094716, 0.01350027843025224, -0.08923747983825361, -0.10847437050429055, 0.37741528250191403, 0.013447531394596243, -0.2642957802390915, 0.10320679735306693, -0.21884795283663205, -0.16607528733325072, 0.06459633105744918, 0.11643026574065202, 0.11840770553112373, -0.053477170084999213, 0.19412890407216638, -0.14123439705320473, 0.10816511488251987, 0.07476329079818451, 0.02305953923998208, 0.11842100053554637, 0.13512026670324648, 0.08923074318197738, 0.1417526313285718, 0.006923423388881887, 0.004585459641041769, -0.39190393403686324, -0.17791513564471884, -0.15837142458613748, 0.10957916501384957, -0.13471759827864416, -0.21378017629057855, 0.3892229149310753, 0.08673857245594263, 0.21563347729843582, 0.11120707684881642, 0.16626536729477945, 0.16494823425614152, 0.03026279038482014, 0.02920328571513662, 0.0582544331033393, 0.1838814263826172, -0.028134981726949244, -0.21925242325483724, 0.048957622995407415, 0.16912962214742927] |
711.3354 | The renormalization of non commutative \phi_4^{\star 4} | We present an overview of the different renormalization proofs of the non
commutative $\phi_4^{\star 4}$ model. This paper is a contribution to the
MemPhys project.
| math-ph math.MP | we present an overview of the different renormalization proofs of the non commutative phi_4star 4 model this paper is a contribution to the memphys project | [['we', 'present', 'an', 'overview', 'of', 'the', 'different', 'renormalization', 'proofs', 'of', 'the', 'non', 'commutative', 'phi_4star', '4', 'model', 'this', 'paper', 'is', 'a', 'contribution', 'to', 'the', 'memphys', 'project']] | [-0.15228077771947332, 0.044816291479340485, -0.1348332908625404, 0.04229634033981711, -0.08328017747650544, -0.07607247655202325, -0.03980631901746771, 0.30341658648103476, -0.2534464903874323, -0.28519345765622955, 0.11631581130980824, -0.30850365323324996, -0.12996524068148574, 0.12828048194448152, -0.08472147300684203, -0.06213569361716509, 0.028728598573555548, -0.010613315040245652, -0.09711294873462369, -0.23047208545419076, 0.3817059737242137, 0.08266379206179408, 0.22752607267951439, 0.10982246689187984, 0.06365403777454048, -0.014045776159036905, -0.13652283271464208, -0.023488599302557606, -0.176946419562834, 0.1388715814294604, 0.2741478105696539, 0.09542102529667318, 0.2742705022295316, -0.37672762394261855, -0.07348254101816565, 0.09297025395790115, 0.14252099014508227, 0.15194372130402675, -0.049951966075847544, -0.23728721123188734, 0.07144259773970892, -0.2817865329173704, -0.14440789997267225, -0.013934730862577757, -0.02947052855355044, -0.08017622795887291, -0.21969252386285612, -0.037433187322070204, 0.10357080244769652, 0.1288362476431454, -0.04419237468391657, -0.11923615366686136, 0.11109402634125824, 0.10952497333831464, 0.03389326231263112, 0.06028402951778844, 0.08525775188657765, -0.08472138774232008, -0.09116276109125465, 0.3497205221404632, -0.0534508617905279, -0.127025243282939, 0.16416127568421265, -0.10265425821611036, -0.17817464986971268, 0.06500521030587454, 0.16882511166234812, 0.15712139421763519, -0.2217318833960841, 0.12146800882571067, -0.09860148218770821, 0.1669807379754881, -0.06248926433424155, 0.004735391897459825, 0.13218644789109626, 0.21930656116455793, 0.0429976136268427, 0.16759424637227008, -0.017375121048341196, -0.05763479865466555, -0.43266082368791103, -0.1715260261359314, -0.0843888505672415, 0.09590223373379558, -0.027867681269223493, -0.1790788577248653, 0.5053754070152839, 0.21092587364061424, 0.14667241756493846, 0.09190637280698866, 0.338160531129688, 0.052014396562299225, -0.008173938006317863, 0.030484750886292506, 0.18501958068615446, 0.13487676174069443, 0.09448083992659424, -0.17722225951729342, -0.035090245849763356, 0.10881981587347885] |
711.3355 | Feynman amplitudes in renormalizable non-commutative quantum field
theory | We consider here the Feynman amplitudes of renormalizable non-commutative
quantum field theory models. Different representations (the parametric and the
Mellin one) are presented. The latter further allows the proof of meromorphy of
a amplitude in the space-time dimension.
| math-ph math.MP | we consider here the feynman amplitudes of renormalizable noncommutative quantum field theory models different representations the parametric and the mellin one are presented the latter further allows the proof of meromorphy of a amplitude in the spacetime dimension | [['we', 'consider', 'here', 'the', 'feynman', 'amplitudes', 'of', 'renormalizable', 'noncommutative', 'quantum', 'field', 'theory', 'models', 'different', 'representations', 'the', 'parametric', 'and', 'the', 'mellin', 'one', 'are', 'presented', 'the', 'latter', 'further', 'allows', 'the', 'proof', 'of', 'meromorphy', 'of', 'a', 'amplitude', 'in', 'the', 'spacetime', 'dimension']] | [-0.1598658350320827, 0.1918606700522727, -0.14107946958392859, 0.12973760578193164, -0.08216041776253596, -0.1072800280403738, -0.004475939109014641, 0.2860265847197489, -0.2262850299869713, -0.1849661295939433, 0.036513808633715505, -0.21132753638123272, -0.19559485720176445, 0.1879706347459241, -0.042175219896690624, 0.06376678886284169, -0.01654463967210368, 0.0737950767292396, -0.08912018468407423, -0.26825861975330073, 0.38335276994315026, -0.01866506622479248, 0.26402782602235675, 0.014112111230037715, 0.12633017499588037, 0.0666939865944809, -0.08377774051500876, -0.06460109384926527, -0.1361266447255682, 0.1638168082327435, 0.22849206548418902, 0.07713359106013454, 0.1769538247210317, -0.41772423792434366, -0.20055469199034728, 0.09431035382869213, 0.1365798046003635, 0.16272566271455666, 0.043069451336601845, -0.29045556402324063, -0.0002253550582712418, -0.16658967806908645, -0.17443404082012803, -0.10187467413121148, -0.019190599807954737, -0.07523879456627917, -0.24753437813763557, 0.056975895281586995, 0.08075160699847497, 0.054799050631883894, -0.014477867254754528, -0.08247019193674389, 0.009566621805884336, 0.05785839375733447, 0.04806594112826707, 0.007995756220464645, 0.06843268887237891, -0.17059538609005118, -0.1846802781617857, 0.32099508117167525, -0.03541077000677193, -0.24085558512199082, 0.1396758566904617, -0.19325865810050777, -0.15139221575258202, 0.07636230561490122, 0.13439824030195413, 0.17521115926731573, -0.13472573471402652, 0.2408443345231813, -0.017009542789310217, 0.12190590754126836, 0.1305785452530376, 0.049215109798272975, 0.1670276036142911, 0.07680439743164338, -0.03148481681158668, 0.1579978022430288, -0.061909338103999435, -0.15887645291054228, -0.4289876422599742, -0.1442078563237661, -0.1232700994863224, 0.05997971370571146, -0.19982981494295496, -0.18688187353607072, 0.4387333565146515, 0.17467660942163907, 0.1220216371952311, 0.07476812907445587, 0.28336695351294783, 0.22348797316417882, 0.07430573982970887, -0.00039584736192696974, 0.2207159411260172, 0.22110034814594606, 0.06761516586534287, -0.17121061667996018, -0.0889890089655589, 0.17490257241910226] |
711.3356 | Solitary waves in Abelian Gauge Theories | Abelian gauge theories consist of a class of field equations which provide a
model for the interaction between matter and electromagnetic fields. In this
paper we analyze the existence of solitary waves for these theories. We assume
that the lower order term W is positive and we prove the existence of solitary
waves if the coupling between matter and electromagnetic field is small. We
point out that the positiveness assumption on W implies that the energy is
positive: this fact makes these theories more suitable to model physical
phenomena.
| math.AP math-ph math.MP | abelian gauge theories consist of a class of field equations which provide a model for the interaction between matter and electromagnetic fields in this paper we analyze the existence of solitary waves for these theories we assume that the lower order term w is positive and we prove the existence of solitary waves if the coupling between matter and electromagnetic field is small we point out that the positiveness assumption on w implies that the energy is positive this fact makes these theories more suitable to model physical phenomena | [['abelian', 'gauge', 'theories', 'consist', 'of', 'a', 'class', 'of', 'field', 'equations', 'which', 'provide', 'a', 'model', 'for', 'the', 'interaction', 'between', 'matter', 'and', 'electromagnetic', 'fields', 'in', 'this', 'paper', 'we', 'analyze', 'the', 'existence', 'of', 'solitary', 'waves', 'for', 'these', 'theories', 'we', 'assume', 'that', 'the', 'lower', 'order', 'term', 'w', 'is', 'positive', 'and', 'we', 'prove', 'the', 'existence', 'of', 'solitary', 'waves', 'if', 'the', 'coupling', 'between', 'matter', 'and', 'electromagnetic', 'field', 'is', 'small', 'we', 'point', 'out', 'that', 'the', 'positiveness', 'assumption', 'on', 'w', 'implies', 'that', 'the', 'energy', 'is', 'positive', 'this', 'fact', 'makes', 'these', 'theories', 'more', 'suitable', 'to', 'model', 'physical', 'phenomena']] | [-0.2133619309327136, 0.18013322496723927, -0.09297615530890192, 0.10415536685967085, -0.103171266447962, -0.10739581570489688, -0.010296890259657599, 0.33015617089911126, -0.23466414137837593, -0.2772872881398777, 0.040612858506913686, -0.25311648571507983, -0.17702369287275196, 0.15243056685967224, 0.043347403773347316, -0.01959639469559273, 0.01470996475035555, 0.05089949162217809, -0.03932787465412965, -0.21100239359428374, 0.4043135336401422, -0.019312863039334167, 0.2373126403041435, 0.08868970941710339, 0.12381714476753822, -0.013466903565744504, 0.015561988786532638, 0.004121490475575157, -0.13225314691733095, 0.0826963113223234, 0.2019248718109369, 0.08485650275101404, 0.2523144706979059, -0.4263986708868421, -0.23933647944476832, 0.16890378878190276, 0.08184596774000884, 0.12628320616989114, -0.06839976646218664, -0.26669283755374756, 0.1181237436360104, -0.1390928964289507, -0.15470648880948554, -0.06186575824499465, 0.044003036372844924, 0.03171088454428683, -0.2745784647720918, 0.08306469081566156, 0.07371550466305461, 0.0014084561236119002, -0.10007173561731751, -0.05110193350551168, -0.02130028365305468, 0.04294635127350856, 0.12765512760111203, 0.014490675024185957, 0.05811866834822498, -0.1843505076635001, -0.061109512557113395, 0.38376379220254636, -0.11454992580850179, -0.2402679739347293, 0.21888124121593708, -0.1500153359695432, -0.12942094738814938, 0.11401484311778057, 0.161692704152567, 0.13365483505316497, -0.08797454671787747, 0.14001612259360197, -0.09073815600465188, 0.16637273275279021, 0.0744278458773755, 0.06662562895001153, 0.25496659914471126, 0.10885547471410606, 0.07671196812115023, 0.10299277810505435, -0.024697480741574355, -0.05773054132384531, -0.40496924477681684, -0.16917540378125615, -0.12141977259993889, 0.08938505505002366, -0.06224873298017198, -0.175496687568473, 0.3826291196550546, 0.1939673534584012, 0.10723462420400609, 0.05574579204280934, 0.21004967710652042, 0.1370593828745605, 0.02115995204076171, 0.08033750304073263, 0.29382399871443093, 0.17731197513221356, 0.07520870405270226, -0.1806674142619281, -0.01575798588396793, 0.09016881882621164] |
711.3357 | Self-similarity symmetry and fractal distributions in iterative dynamics
of dissipative mappings | We consider transformations of deterministic and random signals governed by
simple dynamical mappings. It is shown that the resulting signal can be a
random process described in terms of fractal distributions and fractal domain
integrals. In typical cases a steady state satisfies a dilatation equation,
relating an unknown function $f(x)$ to $f(\kappa x)$ (for example,
${f(x)=g(x)f(\kappa x)}$). We discuss simple linear models as well as nonlinear
systems with chaotic behavior including dissipative circuits with delayed
feedback.
| math-ph math.MP | we consider transformations of deterministic and random signals governed by simple dynamical mappings it is shown that the resulting signal can be a random process described in terms of fractal distributions and fractal domain integrals in typical cases a steady state satisfies a dilatation equation relating an unknown function fx to fkappa x for example fxgxfkappa x we discuss simple linear models as well as nonlinear systems with chaotic behavior including dissipative circuits with delayed feedback | [['we', 'consider', 'transformations', 'of', 'deterministic', 'and', 'random', 'signals', 'governed', 'by', 'simple', 'dynamical', 'mappings', 'it', 'is', 'shown', 'that', 'the', 'resulting', 'signal', 'can', 'be', 'a', 'random', 'process', 'described', 'in', 'terms', 'of', 'fractal', 'distributions', 'and', 'fractal', 'domain', 'integrals', 'in', 'typical', 'cases', 'a', 'steady', 'state', 'satisfies', 'a', 'dilatation', 'equation', 'relating', 'an', 'unknown', 'function', 'fx', 'to', 'fkappa', 'x', 'for', 'example', 'fxgxfkappa', 'x', 'we', 'discuss', 'simple', 'linear', 'models', 'as', 'well', 'as', 'nonlinear', 'systems', 'with', 'chaotic', 'behavior', 'including', 'dissipative', 'circuits', 'with', 'delayed', 'feedback']] | [-0.1477941653613622, 0.1324660094534435, -0.06318763217578331, 0.08357040145368956, -0.04189427378276984, -0.18072961121952782, -0.001925471245776862, 0.3592011888169994, -0.34564789415026703, -0.20368843995034694, 0.12057892841286957, -0.27840586472302675, -0.2348287563584745, 0.2212448938190937, -0.05288283416380485, 0.10668871900377175, -0.0017436239620049795, 0.029740798192409178, -0.08524669492306809, -0.19564587000291794, 0.31962355417509875, -0.017952393492062887, 0.2111610566203793, -0.048946488356838624, 0.18976463279376427, 0.001436777487397194, 0.016692141840855282, 0.014433160682068168, -0.10341099255922018, -0.007516731383899847, 0.22954202999579137, 0.0966809223468105, 0.20311625159656008, -0.40516100339591504, -0.26889743000268934, 0.14912967899193366, 0.14101755719631912, 0.06315978102385998, -0.038260166932207844, -0.2770397704094648, 0.04080196125122408, -0.14116732054700454, -0.17313085021916777, -0.09606981101135413, 0.06664452296992143, 0.08358094548450026, -0.31671477099259693, 0.12535336650907994, 0.10461571482592262, 0.03032595157623291, -0.03674239695072174, -0.06016038553168376, -0.02227010564568142, 0.08043627686798573, -0.023887366589236382, 0.034583653236428896, 0.13387958449621995, -0.13263896526768804, -0.14262519444028537, 0.3737320632487535, -0.09523449826985597, -0.28507271540661655, 0.18043131727725267, -0.13875079381590089, -0.11355635076450805, 0.10333655863379439, 0.19035555376360813, 0.10440839944407344, -0.19476631633937358, 0.12184684766931847, -0.024005072979877393, 0.1542665352051457, 0.034169844953964155, 0.02733677890151739, 0.12744532731672129, 0.16310112446856995, 0.049460809105075894, 0.1995124301671361, 0.04001676502948006, -0.131918111803631, -0.3302740391491291, -0.08742470702971332, -0.1728687534853816, 0.1186723524176826, -0.1156898994584723, -0.19922141662604798, 0.3742854413638512, 0.06525195117418965, 0.21634846790383258, 0.06920536151466271, 0.22333694890141487, 0.2254477223412444, -0.00500032623608907, 0.07221960671556493, 0.1288721973573168, 0.16607491640374064, 0.06652024445434411, -0.16684287048876287, 0.08324752031515043, 0.06953582002470891] |
711.3358 | The Physics of the Intergalactic Medium | Intergalactic space is filled with a pervasive medium of ionized gas, the
Intergalactic Medium (IGM). A residual neutral fraction is detected in the
spectra of Quasi-Stellar Objects at both low and high redshifts, revealing a
highly fluctuating medium with temperatures characteristic of photoionized gas.
The statistics of the fluctuations are well-reproduced by numerical
gravity-hydrodynamics simulations within the context of standard cosmological
structure formation scenarios. As such, the study of the IGM offers an
opportunity to probe the nature of the primordial density fluctuations on
scales unavailable to other methods. The simulations also suggest the IGM is
the dominant reservoir of baryons produced by the Big Bang, and so the
principal source of the matter from which galaxies formed. The detection of
metal systems within the IGM shows that it was enriched by evolved stars early
in its history, demonstrating an intimate connection between galaxy formation
and the IGM. The author presents a comprehensive review of the current
understanding of the structure and physical properties of the IGM and its
relation to galaxies, concluding with comments on prospects for furthering the
study of the IGM using future ground-based facilities and space-based
experiments.
| astro-ph physics.gen-ph | intergalactic space is filled with a pervasive medium of ionized gas the intergalactic medium igm a residual neutral fraction is detected in the spectra of quasistellar objects at both low and high redshifts revealing a highly fluctuating medium with temperatures characteristic of photoionized gas the statistics of the fluctuations are wellreproduced by numerical gravityhydrodynamics simulations within the context of standard cosmological structure formation scenarios as such the study of the igm offers an opportunity to probe the nature of the primordial density fluctuations on scales unavailable to other methods the simulations also suggest the igm is the dominant reservoir of baryons produced by the big bang and so the principal source of the matter from which galaxies formed the detection of metal systems within the igm shows that it was enriched by evolved stars early in its history demonstrating an intimate connection between galaxy formation and the igm the author presents a comprehensive review of the current understanding of the structure and physical properties of the igm and its relation to galaxies concluding with comments on prospects for furthering the study of the igm using future groundbased facilities and spacebased experiments | [['intergalactic', 'space', 'is', 'filled', 'with', 'a', 'pervasive', 'medium', 'of', 'ionized', 'gas', 'the', 'intergalactic', 'medium', 'igm', 'a', 'residual', 'neutral', 'fraction', 'is', 'detected', 'in', 'the', 'spectra', 'of', 'quasistellar', 'objects', 'at', 'both', 'low', 'and', 'high', 'redshifts', 'revealing', 'a', 'highly', 'fluctuating', 'medium', 'with', 'temperatures', 'characteristic', 'of', 'photoionized', 'gas', 'the', 'statistics', 'of', 'the', 'fluctuations', 'are', 'wellreproduced', 'by', 'numerical', 'gravityhydrodynamics', 'simulations', 'within', 'the', 'context', 'of', 'standard', 'cosmological', 'structure', 'formation', 'scenarios', 'as', 'such', 'the', 'study', 'of', 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711.3359 | J/\psi suppression at forward rapidity as a potential probe for QGP
formation in colour screening scenario | In order to study the properties of $J/\psi$ (1S) in the deconfining medium,
we extend our previous formalism [Phys. Lett. B {\bf 656}, 45 (2007)] on
$J/\psi$ suppression at mid-rapidity using the colour screening framework. Our
formalism is more general as the complete rapidity, transverse momentum and
centrality dependence including $J/\psi$ suppression at forward as well as
mid-rapidity can be computed directly from it. Careful attention is paid to the
role of the medium's proper time in determining the locus of the screening
region where $J/\psi$ gets suppressed. Other important ingredients in the
calculation are bag model equation of state for QGP, the longitudinal expansion
of the QGP fluid obeying Bjorken's boost invariant scaling law and
non-sequential/sequential melting of $\chi_c$ (1P) as well as $\psi^{'}$ (2S)
higher resonances. Upon comparison with the recent data of PHENIX collaboration
on $J/\psi$ suppression at forward and mid-rapidity regions, we find that our
model shows a reasonable agreement with the data without incorporating any
sequential decay mechanism of higher charmonia states. Furthermore, we observe
a larger suppression at forward rapidity in our model which is again well
supported by the PHENIX data and also gives a hint that a scenario based on
directly produced $J/\psi$'s is preferable.
| hep-ph | in order to study the properties of jpsi 1s in the deconfining medium we extend our previous formalism phys lett b bf 656 45 2007 on jpsi suppression at midrapidity using the colour screening framework our formalism is more general as the complete rapidity transverse momentum and centrality dependence including jpsi suppression at forward as well as midrapidity can be computed directly from it careful attention is paid to the role of the mediums proper time in determining the locus of the screening region where jpsi gets suppressed other important ingredients in the calculation are bag model equation of state for qgp the longitudinal expansion of the qgp fluid obeying bjorkens boost invariant scaling law and nonsequentialsequential melting of chi_c 1p as well as psi 2s higher resonances upon comparison with the recent data of phenix collaboration on jpsi suppression at forward and midrapidity regions we find that our model shows a reasonable agreement with the data without incorporating any sequential decay mechanism of higher charmonia states furthermore we observe a larger suppression at forward rapidity in our model which is again well supported by the phenix data and also gives a hint that a scenario based on directly produced jpsis is preferable | [['in', 'order', 'to', 'study', 'the', 'properties', 'of', 'jpsi', '1s', 'in', 'the', 'deconfining', 'medium', 'we', 'extend', 'our', 'previous', 'formalism', 'phys', 'lett', 'b', 'bf', '656', '45', '2007', 'on', 'jpsi', 'suppression', 'at', 'midrapidity', 'using', 'the', 'colour', 'screening', 'framework', 'our', 'formalism', 'is', 'more', 'general', 'as', 'the', 'complete', 'rapidity', 'transverse', 'momentum', 'and', 'centrality', 'dependence', 'including', 'jpsi', 'suppression', 'at', 'forward', 'as', 'well', 'as', 'midrapidity', 'can', 'be', 'computed', 'directly', 'from', 'it', 'careful', 'attention', 'is', 'paid', 'to', 'the', 'role', 'of', 'the', 'mediums', 'proper', 'time', 'in', 'determining', 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711.336 | Stability of multi-field cosmological solutions | We explore the stability properties of multi-field solutions of assisted
inflation type, where several fields collectively evolve to the same
configuration. In the case of noninteracting fields, we show that the condition
for such solutions to be stable is less restrictive than that required for
tracking in quintessence models. Our results, which do not rely on the
slow-roll approximation, further indicate that to linear order in homogeneous
perturbations the fields are in fact unaware of each other's existence. We end
by generalizing our results to some cases of interacting fields and to other
background solutions and dynamics, including the high-energy braneworld.
| astro-ph gr-qc hep-th | we explore the stability properties of multifield solutions of assisted inflation type where several fields collectively evolve to the same configuration in the case of noninteracting fields we show that the condition for such solutions to be stable is less restrictive than that required for tracking in quintessence models our results which do not rely on the slowroll approximation further indicate that to linear order in homogeneous perturbations the fields are in fact unaware of each others existence we end by generalizing our results to some cases of interacting fields and to other background solutions and dynamics including the highenergy braneworld | [['we', 'explore', 'the', 'stability', 'properties', 'of', 'multifield', 'solutions', 'of', 'assisted', 'inflation', 'type', 'where', 'several', 'fields', 'collectively', 'evolve', 'to', 'the', 'same', 'configuration', 'in', 'the', 'case', 'of', 'noninteracting', 'fields', 'we', 'show', 'that', 'the', 'condition', 'for', 'such', 'solutions', 'to', 'be', 'stable', 'is', 'less', 'restrictive', 'than', 'that', 'required', 'for', 'tracking', 'in', 'quintessence', 'models', 'our', 'results', 'which', 'do', 'not', 'rely', 'on', 'the', 'slowroll', 'approximation', 'further', 'indicate', 'that', 'to', 'linear', 'order', 'in', 'homogeneous', 'perturbations', 'the', 'fields', 'are', 'in', 'fact', 'unaware', 'of', 'each', 'others', 'existence', 'we', 'end', 'by', 'generalizing', 'our', 'results', 'to', 'some', 'cases', 'of', 'interacting', 'fields', 'and', 'to', 'other', 'background', 'solutions', 'and', 'dynamics', 'including', 'the', 'highenergy', 'braneworld']] | [-0.13137792691699055, 0.12416158053599814, -0.0788744585957415, 0.08748464062832997, -0.09072055681066883, -0.1278054180767129, -0.020479174402293444, 0.33552216014612724, -0.21175968944841977, -0.2750821576850249, 0.10907252130472092, -0.24839935715467032, -0.14137485922581636, 0.2100026017195536, -0.040223577728329026, 0.01815418597532086, 0.03721910878660913, 0.04346061864923133, -0.025378455274212775, -0.31730764601517947, 0.3637615504886697, 0.03195626228254768, 0.2451046439311882, -0.02016258469349382, 0.026534056373973294, -0.03530248589721499, 0.03162488021823292, 0.037894237655258046, -0.1516864172880749, 0.0677177329745955, 0.21376343700078249, 0.11916919426513042, 0.24072957654843236, -0.46868018298824826, -0.271239728694505, 0.14883282470821155, 0.15096363812076427, 0.15058377162336675, -0.05747577039603292, -0.2698186517642387, 0.11869051613577522, -0.12084395786064982, -0.14846651279598033, -0.11334940856368751, -0.03786337403303916, 0.07393460101125264, -0.294347352320605, 0.06617102887260147, 0.08064434265010151, -0.015224631285608406, -0.12437487746782527, -0.061188344327308755, -0.007569934121600472, 0.083192630836943, 0.1080447351444734, -0.025677966179860994, 0.10145085651224645, -0.21069826252036958, -0.09794638670132597, 0.37423540795646093, -0.1141597574507866, -0.23069690134708243, 0.247937109141546, -0.16210647334003508, -0.17258361031965233, 0.08779648308974165, 0.1385216860626225, 0.1637871904289442, -0.11386644769238659, 0.09471606038911913, 0.011044724189704008, 0.13510173927107366, 0.07829676482291652, 0.05009127365215451, 0.17942418498540352, 0.09689499885950348, 0.0782543337860117, 0.11680124759487347, -0.007597075805233994, -0.15492005572460665, -0.32942730822775623, -0.11995474541430722, -0.12783240255355688, 0.04397370532344644, -0.08136531392470842, -0.17637790169216472, 0.4170888074590723, 0.21039957008186247, 0.17510708168812908, 0.03818974423160002, 0.25090967434098815, 0.0753918657895399, 0.043911175857676135, 0.10009643270422032, 0.3104803160211592, 0.09361416781275063, 0.08404288772438274, -0.1682550925530936, -0.010176643169033203, 0.02591091326649974] |
711.3361 | Higgs Boson Decays into Single Photon plus Unparticle | The decay of the standard model Higgs boson into a single photon and a vector
unparticle through a one-loop process is studied. For an intermediate mass
Higgs boson, this single photon plus unparticle mode can have a branching ratio
comparable with the two-photon discovery mode. The emitted photon has a
continuous energy spectrum encoding the nature of the recoil unparticle. It can
be measured in precision studies of the Higgs boson after its discovery.
| hep-ph | the decay of the standard model higgs boson into a single photon and a vector unparticle through a oneloop process is studied for an intermediate mass higgs boson this single photon plus unparticle mode can have a branching ratio comparable with the twophoton discovery mode the emitted photon has a continuous energy spectrum encoding the nature of the recoil unparticle it can be measured in precision studies of the higgs boson after its discovery | [['the', 'decay', 'of', 'the', 'standard', 'model', 'higgs', 'boson', 'into', 'a', 'single', 'photon', 'and', 'a', 'vector', 'unparticle', 'through', 'a', 'oneloop', 'process', 'is', 'studied', 'for', 'an', 'intermediate', 'mass', 'higgs', 'boson', 'this', 'single', 'photon', 'plus', 'unparticle', 'mode', 'can', 'have', 'a', 'branching', 'ratio', 'comparable', 'with', 'the', 'twophoton', 'discovery', 'mode', 'the', 'emitted', 'photon', 'has', 'a', 'continuous', 'energy', 'spectrum', 'encoding', 'the', 'nature', 'of', 'the', 'recoil', 'unparticle', 'it', 'can', 'be', 'measured', 'in', 'precision', 'studies', 'of', 'the', 'higgs', 'boson', 'after', 'its', 'discovery']] | [-0.08958493028153866, 0.28269818700347377, -0.10075461374897812, 0.12592128071689848, -0.08646980009822024, -0.19584102362293648, 0.07390851021517773, 0.32881549916960096, -0.21983886880774958, -0.2521270906955406, -0.01690756027882516, -0.27972191640150706, 0.0016253377197662721, 0.15133689435488368, 0.09985114338279173, 0.10345980093257527, 0.10723652756093321, 0.08227581343286343, -0.008714125372117033, -0.20302690883997726, 0.2755280928056989, 0.0811346431287962, 0.2357374738580925, 0.05499455227982253, 0.12483478711313896, 0.09357722870363677, -0.028566371479600266, -0.14803170889137765, -0.08040524962534373, 0.06871142469950624, 0.12347924457611265, 0.07872912461391172, 0.18536622940587835, -0.23960546567734028, -0.17089072738874805, 0.19449295398049257, 0.20676843827823177, 0.10891681859219396, -0.08033820954969505, -0.3413209232463929, 0.0633596753626055, -0.23995445774415056, -0.04147016214886429, -0.0327043640458755, -0.052240543205895135, -0.14673231343260487, -0.3128903908293216, 0.08187490950237859, -0.06682313646416406, -0.01740968693047762, 0.023097401797909894, -0.09900976300264734, -0.0981323039536742, -0.004158750434431272, 0.14120458538378147, 0.051146997799593454, 0.2204418769106269, -0.23605128246472795, -0.23718807959576715, 0.38003311198003387, -0.16934634576476104, -0.17280676516993726, 0.13295621928331014, -0.17765266379039432, -0.12248638570560394, 0.23404665089942314, 0.22173203079885728, 0.04171174607944448, -0.17491078406975075, 0.1962154741623955, -0.023154732771217823, 0.20840525207097163, 0.05429368047043681, 0.11613164709981631, 0.28099442912718736, 0.23056440515840124, -0.04519762707609885, 0.10509796318207942, -0.12385899774931572, -0.036176963164974506, -0.3756750257736122, -0.19721204686179958, -0.1113262233911145, 0.09192277110697752, -0.08097482348829224, -0.10145632872307622, 0.4197287923480208, 0.030222731189349213, 0.2609675875361505, -0.020844956704201428, 0.34411150292568915, 0.2285466577127777, 0.1144085900065162, -0.014468181743034842, 0.40307455735180425, 0.17020800733636762, 0.1387009513879044, -0.21374976060453904, -0.006995342992799911, 0.04593612239192668] |
711.3362 | Partial list of bipartite Bell inequalities with four binary settings | We give a partial list of 26 tight Bell inequalities for the case where Alice
and Bob choose among four two-outcome measurements. All tight Bell inequalities
with less settings are reviewed as well. For each inequality we compute
numerically the maximal quantum violation, the resistance to noise and the
minimal detection efficiency required for closing the detection loophole.
Surprisingly, most of these inequalities are outperformed by the CHSH
inequality.
| quant-ph | we give a partial list of 26 tight bell inequalities for the case where alice and bob choose among four twooutcome measurements all tight bell inequalities with less settings are reviewed as well for each inequality we compute numerically the maximal quantum violation the resistance to noise and the minimal detection efficiency required for closing the detection loophole surprisingly most of these inequalities are outperformed by the chsh inequality | [['we', 'give', 'a', 'partial', 'list', 'of', '26', 'tight', 'bell', 'inequalities', 'for', 'the', 'case', 'where', 'alice', 'and', 'bob', 'choose', 'among', 'four', 'twooutcome', 'measurements', 'all', 'tight', 'bell', 'inequalities', 'with', 'less', 'settings', 'are', 'reviewed', 'as', 'well', 'for', 'each', 'inequality', 'we', 'compute', 'numerically', 'the', 'maximal', 'quantum', 'violation', 'the', 'resistance', 'to', 'noise', 'and', 'the', 'minimal', 'detection', 'efficiency', 'required', 'for', 'closing', 'the', 'detection', 'loophole', 'surprisingly', 'most', 'of', 'these', 'inequalities', 'are', 'outperformed', 'by', 'the', 'chsh', 'inequality']] | [-0.112713187865481, 0.11237901365519434, 0.028071807751405067, 0.10731458496572314, -0.03279995549794124, -0.3532526767137798, 0.09163954640414727, 0.2842240141556207, -0.20889721652961074, -0.34491691557501536, 0.10294354905246123, -0.3545308767993381, -0.07232773144715939, 0.26057920532058115, -0.09092727891992831, 0.12870046266428856, 0.04836329820808833, 0.03419978587307792, -0.08180606584199637, -0.34408803540619387, 0.2640021922863156, 0.019254295565390392, 0.2447384835652791, 0.08393651079656421, 0.0608035194269125, 0.033049822545380914, -0.0022897829396137295, 0.0130830945690041, -0.16601654861216852, 0.11627790311594373, 0.28245224001938884, 0.209338889632752, 0.2508814453376808, -0.3792411901218736, -0.09354020347751245, 0.19258570002958827, 0.05788493206879745, 0.09326513903890399, -0.03127635283854561, -0.3209685645693832, 0.02021074172217345, -0.1348876056085894, -0.07558923209275024, -0.1002237493833662, -0.005144633325761643, -0.027732588553234287, -0.29433688054374163, 0.156402257271111, 0.028050674511916073, 0.04451431255227468, 0.026861080957198705, -0.09428985711133135, 0.07812980398117308, 0.09233315311291296, -0.020246014768338722, -0.05870031368365322, 0.10245807197592828, -0.07092294384441945, -0.2319057540482153, 0.3038464591001579, 0.013749832341420477, -0.23791183183725545, 0.12158346055345474, -0.18460474660674084, -0.17893997245076773, 0.008818502288203741, 0.08899831733382914, 0.10925058739772742, -0.1580553953063445, -0.006042756135170551, -0.10325750191628501, 0.13712504313097915, 0.15610327810534966, 0.16736606848628624, 0.0647332698808632, 0.03496092380415918, 0.16275723716007898, 0.15528108405313737, -0.06828329340973194, -0.09974527559445603, -0.41746043867391086, -0.2120180056983794, -0.21180360078089533, 0.06888776922436513, -0.13945381733946557, -0.046693559547049415, 0.32884321048639825, 0.07430455081866703, 0.13782966820577133, 0.07391126457250853, 0.2506776229829352, 0.06882208693381128, 0.04809329536257555, 0.10494256042537914, 0.3220857166739154, 0.17920115768599013, 0.04673886986869468, -0.18250880187944227, 0.12882761537110893, 0.05785576386066774] |
711.3363 | On Schr\"odinger operators with multisingular inverse-square anisotropic
potentials | We study positivity, localization of binding and essential self-adjointness
properties of a class of Schroedinger operators with many anisotropic inverse
square singularities, including the case of multiple dipole potentials.
| math.AP math.SP | we study positivity localization of binding and essential selfadjointness properties of a class of schroedinger operators with many anisotropic inverse square singularities including the case of multiple dipole potentials | [['we', 'study', 'positivity', 'localization', 'of', 'binding', 'and', 'essential', 'selfadjointness', 'properties', 'of', 'a', 'class', 'of', 'schroedinger', 'operators', 'with', 'many', 'anisotropic', 'inverse', 'square', 'singularities', 'including', 'the', 'case', 'of', 'multiple', 'dipole', 'potentials']] | [-0.15966445840252885, 0.054893380127333365, 0.014245195442746425, 0.10988026783512585, -0.06446535442955792, -0.1384614464377278, -0.11478616868884399, 0.3728957634804578, -0.2472950504643136, -0.22373288311064243, 0.08463930352269833, -0.32829120472587386, -0.19797615639881455, 0.13541838317981053, 0.04831131839932039, 0.13444488245094643, 0.049462118603546046, 0.03186363412131523, -0.11236186476488566, -0.15920888356752053, 0.4167271540981942, 0.02476533987270347, 0.2197459338810937, 0.1506971372371732, 0.03715295429694755, 0.08887417577528234, 0.018071176612685466, -0.004542534978225313, -0.10960854162815316, 0.1697077695922605, 0.18211648186492124, -0.011798362408218712, 0.2551496804788195, -0.39788890944729594, -0.23478128575190002, 0.18590979162475157, 0.14948271632451435, 0.08743974890816829, -0.05389023087276467, -0.2848214062235864, 0.019090991531466615, -0.12223972717364287, -0.2496486803324058, -0.10234877329062798, 0.03481910101555545, 0.11964077899906912, -0.2717024103320878, 0.13955773649223405, 0.1317494834516326, 0.07228965048903022, -0.17054169172228412, -0.10526281659459245, -0.0025376934429694868, 0.09907338590007918, 0.021135066668021268, -0.11113235265305586, 0.09095529362495089, -0.18427371631922393, -0.12429271413591401, 0.4005035515874624, -0.025463866423173196, -0.21741824263128742, 0.17515771832830948, -0.16299817327747185, -0.1267291040336392, 0.09624578057113907, 0.1456999146411645, 0.15164519912274232, -0.15941770814744563, 0.18335639415429264, -0.004382112384613218, 0.06884860253796496, 0.07351180962447462, 0.13001483030103403, 0.14300303418060828, 0.09406856028363109, 0.10547332789805107, 0.1423378013524002, -0.053867887191731356, -0.11024404769956038, -0.3726642454737508, -0.12861077978821664, -0.18458445990008526, 0.12847189579544396, -0.09657077958500254, -0.28658045288817635, 0.47691547099886267, 0.09686517622321844, 0.17696512715714374, 0.03701474295993303, 0.16159098685301584, 0.12790256565244035, 0.0804003594154171, -0.016707515087107133, 0.1612049006407374, 0.24024121700946627, 0.0645386122873631, -0.27668182750971154, -0.0804234482508538, 0.18430938738687286] |
711.3364 | Grain - A Java Analysis Framework for Total Data Readout | Grain is a data analysis framework developed to be used with the novel Total
Data Readout data acquisition system. In Total Data Readout all the electronics
channels are read out asynchronously in singles mode and each data item is
timestamped. Event building and analysis has to be done entirely in the
software post-processing the data stream. A flexible and efficient event parser
and the accompanying software framework have been written entirely in Java. The
design and implementation of the software are discussed along with experiences
gained in running real-life experiments.
| nucl-ex physics.data-an | grain is a data analysis framework developed to be used with the novel total data readout data acquisition system in total data readout all the electronics channels are read out asynchronously in singles mode and each data item is timestamped event building and analysis has to be done entirely in the software postprocessing the data stream a flexible and efficient event parser and the accompanying software framework have been written entirely in java the design and implementation of the software are discussed along with experiences gained in running reallife experiments | [['grain', 'is', 'a', 'data', 'analysis', 'framework', 'developed', 'to', 'be', 'used', 'with', 'the', 'novel', 'total', 'data', 'readout', 'data', 'acquisition', 'system', 'in', 'total', 'data', 'readout', 'all', 'the', 'electronics', 'channels', 'are', 'read', 'out', 'asynchronously', 'in', 'singles', 'mode', 'and', 'each', 'data', 'item', 'is', 'timestamped', 'event', 'building', 'and', 'analysis', 'has', 'to', 'be', 'done', 'entirely', 'in', 'the', 'software', 'postprocessing', 'the', 'data', 'stream', 'a', 'flexible', 'and', 'efficient', 'event', 'parser', 'and', 'the', 'accompanying', 'software', 'framework', 'have', 'been', 'written', 'entirely', 'in', 'java', 'the', 'design', 'and', 'implementation', 'of', 'the', 'software', 'are', 'discussed', 'along', 'with', 'experiences', 'gained', 'in', 'running', 'reallife', 'experiments']] | [-0.13069346548161573, 0.019117792292187612, -0.08965984560135339, 0.011812773070091175, -0.10006411952587466, -0.1841032263305452, 0.011518483567568991, 0.4319280578858323, -0.22628729357901547, -0.38676763342486487, 0.15372472512555962, -0.30718154624207983, -0.048212497215718034, 0.2303507163706753, -0.05841951566851801, 0.11605620790893832, 0.17419289507282276, -0.006894483212899003, -0.01932672993797395, -0.24581551189637846, 0.20668421495291922, 0.11872417603929837, 0.34075136199179623, -0.004375323218603929, 0.09716995860087789, 0.022022825787361297, -0.13463356599418652, -0.05857120426371694, -0.05603847139282152, 0.08668624580734306, 0.37259182574020494, 0.2380589719266734, 0.24544120573102393, -0.4707105011989673, -0.14414580267750554, 0.0075999903803070385, 0.11705333048270808, 0.09016630984519401, -0.056004593441159364, -0.2999626551108021, 0.07763953015932606, -0.22829138624171416, -0.04248809083882305, -0.07496401911290983, -0.005349928870176276, 0.009136896000968085, -0.2350370619290819, -0.02202325348690566, 0.006785551626752648, 0.07844020527684026, 0.0053449025067190325, -0.08652403753431928, -0.0264548035338521, 0.12150841586084829, 0.034173213043767546, 0.05260348062341412, 0.19684227320055167, -0.030530403848064856, -0.14511286481542307, 0.34295863169762825, -0.03246600948429356, -0.21223725981803404, 0.12910612885478057, -0.05582392496160335, -0.16320696305483579, 0.14796529710292816, 0.23194317448263366, 0.042771739233285186, -0.2761007026717481, 0.05857107623984727, 0.058822279030250176, 0.19668421977096134, 0.009272147740961776, -0.009481714521017339, 0.1900924815899796, 0.2560149333336287, -0.027812010523242257, 0.14184938381270815, -0.0879259406692452, -0.08275520492655536, -0.26517349756840203, -0.16367979999631643, -0.172635783655763, -0.06773360917318819, -0.04684703332912048, -0.1300402991887596, 0.3740257240831852, 0.16664030858212048, 0.15310826784827644, -0.023708149863200054, 0.3568211822460095, 0.06528179961929305, 0.17775205821833676, 0.11218988234177232, 0.15597052541044024, 0.025266509177163242, 0.18448656976429953, -0.14953554806609948, 0.08551324007308317, -0.031104856830400724] |
711.3365 | Exponential sums: questions by Denef, Sperber, and Igusa | We prove the remaining part of the conjecture by Denef and Sperber [Denef, J.
and Sperber, S., \textit{Exponential sums mod $p^n$ and {N}ewton polyhedra},
Bull. Belg. Math. Soc., {\bf{suppl.}} (2001) 55-63] on nondegenerate local
exponential sums modulo $p^m$. We generalize Igusa's conjecture of the
introduction of [Igusa, J., \textit{Lectures on forms of higher degree}, Lect.
math. phys., Springer-Verlag, {\bf{59}} (1978)] from the homogeneous to the
quasi-homogeneous case and prove the nondegenerate case as well as the modulo
$p$ case. We generalize some results by Katz of [Katz, N. M., \textit{Estimates
for "singular" exponential sums}, Internat. Math. Res. Notices (1999) no. 16,
875-899] on finite field exponential sums to the quasi-homogeneous case.
| math.NT | we prove the remaining part of the conjecture by denef and sperber denef j and sperber s textitexponential sums mod pn and newton polyhedra bull belg math soc bfsuppl 2001 5563 on nondegenerate local exponential sums modulo pm we generalize igusas conjecture of the introduction of igusa j textitlectures on forms of higher degree lect math phys springerverlag bf59 1978 from the homogeneous to the quasihomogeneous case and prove the nondegenerate case as well as the modulo p case we generalize some results by katz of katz n m textitestimates for singular exponential sums internat math res notices 1999 no 16 875899 on finite field exponential sums to the quasihomogeneous case | [['we', 'prove', 'the', 'remaining', 'part', 'of', 'the', 'conjecture', 'by', 'denef', 'and', 'sperber', 'denef', 'j', 'and', 'sperber', 's', 'textitexponential', 'sums', 'mod', 'pn', 'and', 'newton', 'polyhedra', 'bull', 'belg', 'math', 'soc', 'bfsuppl', '2001', '5563', 'on', 'nondegenerate', 'local', 'exponential', 'sums', 'modulo', 'pm', 'we', 'generalize', 'igusas', 'conjecture', 'of', 'the', 'introduction', 'of', 'igusa', 'j', 'textitlectures', 'on', 'forms', 'of', 'higher', 'degree', 'lect', 'math', 'phys', 'springerverlag', 'bf59', '1978', 'from', 'the', 'homogeneous', 'to', 'the', 'quasihomogeneous', 'case', 'and', 'prove', 'the', 'nondegenerate', 'case', 'as', 'well', 'as', 'the', 'modulo', 'p', 'case', 'we', 'generalize', 'some', 'results', 'by', 'katz', 'of', 'katz', 'n', 'm', 'textitestimates', 'for', 'singular', 'exponential', 'sums', 'internat', 'math', 'res', 'notices', '1999', 'no', '16', '875899', 'on', 'finite', 'field', 'exponential', 'sums', 'to', 'the', 'quasihomogeneous', 'case']] | [-0.19524490140163556, -0.008142055433171872, -0.07495217823172705, 4.080132146974882e-05, -0.057271973578071296, -0.13974525563221854, 0.05426366605500404, 0.22197509610738891, -0.23792553709175152, -0.2930627239581484, 0.026337844875972502, -0.28526189418670794, -0.15922743493753772, 0.19511218054014115, -0.16720687684517963, 0.0005705118886768245, -0.010734855967782026, -0.044660028661243044, -0.04172436838808398, -0.43452124926261604, 0.2732068262501763, 0.0024928003974939482, 0.1644680960122899, 0.049309157815654404, 0.026737201883336708, 0.1211839604567593, -0.08145382303672914, -0.10953064508234653, -0.19701319839805365, 0.11439875402272894, 0.2706206147200786, 0.005507417596303499, 0.24403130437713116, -0.34662461052469623, -0.09460197495242867, 0.1783440379658714, 0.05817480508882839, -0.03290311310467167, 0.127823703397343, -0.2843171066040388, 0.08140391495264619, -0.16574114233229081, -0.202176070619876, -0.09063341728268334, 0.18833050332950035, 0.085655059477386, -0.2670818456401601, 0.12425645945880276, 0.22802679433348552, 0.18802376837881568, -0.02346897655073777, -0.2523244854886658, -0.041217835541689195, -0.05662722206593921, -0.010396465542726219, 0.07295034257829404, -0.004362244423156461, -0.037506129135950826, -0.14760566117855398, 0.28044329837295945, -0.056375203806405455, -0.13724885510432963, 0.14768914993888196, -0.12418134587530333, -0.18468384838063054, 0.0967500435654074, 0.11020907857276213, 0.16764295281245722, 0.01630765198429939, 0.26084957671880077, -0.14313348629422343, 0.036470617323245205, 0.28412084212490857, -0.1055880706105829, 0.07198946923465253, -0.08596379766151166, 0.024887366847206768, 0.11235900127660269, -0.0029351581626822455, -0.07608245580922812, -0.3159951086541136, -0.2356304589775391, -0.20562542790475374, 0.23335336309033805, -0.07026494956349219, -0.11535792122595012, 0.33118200740920234, 0.008955183610221585, 0.1312081838528124, 0.13407943855362156, 0.08540924531497204, 0.1100806955252595, -0.03867261402158944, 0.1632252221523651, 0.13639864844606983, 0.245758359584635, 0.09891285255658798, -0.11732584222381075, -0.07440655869252694, 0.24488435329672378] |
711.3366 | Anisotropic flow in Pb+Pb collisions at LHC from the quark gluon string
model with parton rearrangement | We present predictions for the pseudorapidity dependence of the azimuthal
anisotropy parameters v_1 and v_2 of baryons and inclusive charged hadrons in
Pb+Pb collisions at a LHC energy of sqrt(s) = 5.5 TeV applying a microscopic
transport model, namely the quark gluon string model (QGSM) which has been
recently extended for parton rearrangement and fusion processes. Pb+Pb
collisions with impact parameters b = 2.3 fm and b = 8 fm have been simulated
in order to investigate additionally the difference between central and
semiperipheral configurations. In contrast to v_1(eta) at RHIC, the directed
flow of charged hadrons shows a small normal flow alignment. The elliptic flow
v_2(eta) turns out to be rather similar in shape for RHIC and LHC conditions,
the magnitude however increases about 10-20 % at the LHC, leading to the
conclusion that the hydrodynamical limit will be reached.
| nucl-th | we present predictions for the pseudorapidity dependence of the azimuthal anisotropy parameters v_1 and v_2 of baryons and inclusive charged hadrons in pbpb collisions at a lhc energy of sqrts 55 tev applying a microscopic transport model namely the quark gluon string model qgsm which has been recently extended for parton rearrangement and fusion processes pbpb collisions with impact parameters b 23 fm and b 8 fm have been simulated in order to investigate additionally the difference between central and semiperipheral configurations in contrast to v_1eta at rhic the directed flow of charged hadrons shows a small normal flow alignment the elliptic flow v_2eta turns out to be rather similar in shape for rhic and lhc conditions the magnitude however increases about 1020 at the lhc leading to the conclusion that the hydrodynamical limit will be reached | [['we', 'present', 'predictions', 'for', 'the', 'pseudorapidity', 'dependence', 'of', 'the', 'azimuthal', 'anisotropy', 'parameters', 'v_1', 'and', 'v_2', 'of', 'baryons', 'and', 'inclusive', 'charged', 'hadrons', 'in', 'pbpb', 'collisions', 'at', 'a', 'lhc', 'energy', 'of', 'sqrts', '55', 'tev', 'applying', 'a', 'microscopic', 'transport', 'model', 'namely', 'the', 'quark', 'gluon', 'string', 'model', 'qgsm', 'which', 'has', 'been', 'recently', 'extended', 'for', 'parton', 'rearrangement', 'and', 'fusion', 'processes', 'pbpb', 'collisions', 'with', 'impact', 'parameters', 'b', '23', 'fm', 'and', 'b', '8', 'fm', 'have', 'been', 'simulated', 'in', 'order', 'to', 'investigate', 'additionally', 'the', 'difference', 'between', 'central', 'and', 'semiperipheral', 'configurations', 'in', 'contrast', 'to', 'v_1eta', 'at', 'rhic', 'the', 'directed', 'flow', 'of', 'charged', 'hadrons', 'shows', 'a', 'small', 'normal', 'flow', 'alignment', 'the', 'elliptic', 'flow', 'v_2eta', 'turns', 'out', 'to', 'be', 'rather', 'similar', 'in', 'shape', 'for', 'rhic', 'and', 'lhc', 'conditions', 'the', 'magnitude', 'however', 'increases', 'about', '1020', 'at', 'the', 'lhc', 'leading', 'to', 'the', 'conclusion', 'that', 'the', 'hydrodynamical', 'limit', 'will', 'be', 'reached']] | [-0.054080031080743274, 0.24842917389126823, -0.18360275995527284, 0.12210025343537222, 0.005238779377096388, -0.09695386932478012, -0.08097174992315773, 0.35130288360147355, -0.21316984202199177, -0.29804932956433144, -0.049309805255581846, -0.3579501136966214, 0.11010975147912498, 0.12272911982419078, 0.07811091390013804, 0.10913333763121902, 0.12962813890258343, -0.0021238414714496363, -0.056919968301800135, -0.2173574828555181, 0.2654766386189936, 0.08434707572108463, 0.2401452259886462, 0.1950849357252831, 0.05707410290179884, 0.03747886262649177, -0.012204616498339045, 0.04302318160112276, -0.1601484501719931, 0.03509313430036213, 0.25686935528638594, -0.02400763931697892, 0.13415898284053102, -0.35899454789400537, -0.13197451275054312, 0.13152254768818453, 0.16162998543415383, 0.08848424586176407, -0.04585972272188348, -0.22627322602441863, 0.16842301385066308, -0.2619422227555119, -0.13567332205831703, -0.033145829588380256, 0.0552065393592998, 0.009361868103630567, -0.33610979989102546, 0.13951415988712518, -0.018450054090113983, 0.09649496000629905, -0.009915257372674258, -0.20432796524426736, -0.11059457068126101, 0.010229750889052144, 0.1078080692968797, 0.12487981308881632, 0.18445533354529556, -0.17654573471073115, -0.1673319471986307, 0.38550149560358155, 0.030889715724590455, -0.13288202940705507, 0.18628267520826364, -0.23134658917072504, -0.135879497976181, 0.1417693741592195, 0.2651747540803626, 0.061961920472693985, -0.19825210515923306, 0.05706832397075178, -0.0229322562851902, 0.1830113150045851, 0.12984071430229746, 0.022239595083245897, 0.19877742934520082, 0.2087128724601558, 0.011698242936023128, 0.0859174063507988, -0.12178849406293868, -0.11069159084752969, -0.36253451289581684, -0.046768839819432126, -0.068750178319854, 0.06345308347440817, -0.10766650022710297, -0.02709796907969148, 0.38083562284523126, 0.11840893211902927, 0.30679132099612616, -0.048042258991592784, 0.26894860065829773, 0.05930329419960104, 0.05237496573467711, 0.12352155380101655, 0.31857721376068454, 0.16518438816317083, 0.2396006532396902, -0.2469542154987507, 0.031222194434924272, 0.08392392524161979] |
711.3367 | The high density equation of state: constraints from accelerators and
astrophysics | The nuclear equation of state (EoS) at high densities and/or extreme isospin
is one of the longstanding problems of nuclear physics. In the last years
substantial progress has been made to constrain the EoS both, from the
astrophysical side and from accelerator based experiments. Heavy ion
experiments support a soft EoS at moderate densities while the possible
existence of high mass neutron star observations favors a stiff EoS. Ab initio
calculations for the nuclear many-body problem make predictions for the density
and isospin dependence of the EoS far away from the saturation point. Both, the
constraints from astrophysics and accelerator based experiments are shown to be
in agreement with the predictions from many-body theory.
| nucl-th | the nuclear equation of state eos at high densities andor extreme isospin is one of the longstanding problems of nuclear physics in the last years substantial progress has been made to constrain the eos both from the astrophysical side and from accelerator based experiments heavy ion experiments support a soft eos at moderate densities while the possible existence of high mass neutron star observations favors a stiff eos ab initio calculations for the nuclear manybody problem make predictions for the density and isospin dependence of the eos far away from the saturation point both the constraints from astrophysics and accelerator based experiments are shown to be in agreement with the predictions from manybody theory | [['the', 'nuclear', 'equation', 'of', 'state', 'eos', 'at', 'high', 'densities', 'andor', 'extreme', 'isospin', 'is', 'one', 'of', 'the', 'longstanding', 'problems', 'of', 'nuclear', 'physics', 'in', 'the', 'last', 'years', 'substantial', 'progress', 'has', 'been', 'made', 'to', 'constrain', 'the', 'eos', 'both', 'from', 'the', 'astrophysical', 'side', 'and', 'from', 'accelerator', 'based', 'experiments', 'heavy', 'ion', 'experiments', 'support', 'a', 'soft', 'eos', 'at', 'moderate', 'densities', 'while', 'the', 'possible', 'existence', 'of', 'high', 'mass', 'neutron', 'star', 'observations', 'favors', 'a', 'stiff', 'eos', 'ab', 'initio', 'calculations', 'for', 'the', 'nuclear', 'manybody', 'problem', 'make', 'predictions', 'for', 'the', 'density', 'and', 'isospin', 'dependence', 'of', 'the', 'eos', 'far', 'away', 'from', 'the', 'saturation', 'point', 'both', 'the', 'constraints', 'from', 'astrophysics', 'and', 'accelerator', 'based', 'experiments', 'are', 'shown', 'to', 'be', 'in', 'agreement', 'with', 'the', 'predictions', 'from', 'manybody', 'theory']] | [-0.018513909311303377, 0.17871148907375245, -0.14936086719675937, 0.06635238235640716, -0.0800929325551056, -0.11434661006358893, 0.02879456628681765, 0.31571045720524954, -0.20335839830110208, -0.34001058733842354, 0.08099028972802651, -0.3259748913707179, 0.019624873791543537, 0.182909936682942, 0.08753670621336553, 0.10602310844370279, 0.11062736130164315, 0.04109379954701453, -0.1459636556381858, -0.16573506715123362, 0.32433201950615304, 0.09285256274763429, 0.2342758525914529, 0.14333316583284422, 0.07917234687780014, -0.05501797291049514, -0.006858909179930363, -0.010416257576077458, -0.1496983699872273, 0.0586947244745189, 0.30331269275854555, 0.08066830275327033, 0.21852391057958206, -0.4940441595717219, -0.26037443995377735, 0.06857773722476211, 0.04907805198934256, 0.16320717918253586, -0.10659909647840418, -0.25964348954393673, 0.016993955020504808, -0.22977350683261952, -0.16193099258561505, -0.08176211479810279, 0.027714830533225546, 0.053715946462736544, -0.24695947882310862, 0.10886122698266582, -0.05317148827465676, -0.011703387424188949, -0.12653386838766828, -0.23595229336959228, 0.0072421926454632754, 0.018808312624235424, 0.06795323067630657, 0.08267163613141236, 0.14478604592742367, -0.24737039876676964, -0.07118261327329826, 0.41846444168569225, -0.017326907132213052, -0.07204717452629682, 0.20319605018665785, -0.19560159283706494, -0.1912354301628575, 0.157776415282697, 0.1392189684332136, 0.08943062285043038, -0.12016739090087644, 0.10499836514926549, 0.005071315366015034, 0.2015724188592063, 0.0321264084522498, 0.003427916658230906, 0.26984612630647525, 0.21851880363956616, 0.007028581827813596, 0.02683849384093743, -0.12117799243015613, -0.14061276649437404, -0.26859981737818506, -0.019456871017290836, -0.16810725099946322, 0.038049309873920786, -0.06617479115735286, -0.07586669698088244, 0.3265283166741331, 0.1308704534006354, 0.16496747026317998, -0.0532418270023507, 0.2927120558165929, 0.0741939349712706, 0.012619659713093648, 0.078404920347231, 0.31697373255564454, 0.2254810335457717, 0.08655178674145422, -0.2926867039518823, 0.07626691882563919, -0.007708152999137447] |
711.3368 | Betti numbers of hypergraphs | In this paper we study some algebraic properties of hypergraphs, in particula
their Betti numbers. We define some different types of complete hypergraphs,
which to the best of our knowledge, are not previously considered in the
literature. Also, in a natural way, we define a product on hypergraphs, which
in a sense is dual to the join operation on simplicial complexes. For such
product, we give a general formula for the Betti numbers, which specializes
neatly in case of linear resolutions.
| math.AC math.CO | in this paper we study some algebraic properties of hypergraphs in particula their betti numbers we define some different types of complete hypergraphs which to the best of our knowledge are not previously considered in the literature also in a natural way we define a product on hypergraphs which in a sense is dual to the join operation on simplicial complexes for such product we give a general formula for the betti numbers which specializes neatly in case of linear resolutions | [['in', 'this', 'paper', 'we', 'study', 'some', 'algebraic', 'properties', 'of', 'hypergraphs', 'in', 'particula', 'their', 'betti', 'numbers', 'we', 'define', 'some', 'different', 'types', 'of', 'complete', 'hypergraphs', 'which', 'to', 'the', 'best', 'of', 'our', 'knowledge', 'are', 'not', 'previously', 'considered', 'in', 'the', 'literature', 'also', 'in', 'a', 'natural', 'way', 'we', 'define', 'a', 'product', 'on', 'hypergraphs', 'which', 'in', 'a', 'sense', 'is', 'dual', 'to', 'the', 'join', 'operation', 'on', 'simplicial', 'complexes', 'for', 'such', 'product', 'we', 'give', 'a', 'general', 'formula', 'for', 'the', 'betti', 'numbers', 'which', 'specializes', 'neatly', 'in', 'case', 'of', 'linear', 'resolutions']] | [-0.12941944260383026, 0.044562285556457935, -0.07216688259504736, 0.10140345975523815, -0.10700365512166173, -0.0685731855337508, 0.02676929581357399, 0.3445425954647362, -0.29321996397338806, -0.27594499122351407, 0.09076154122885782, -0.21101931403391064, -0.1814175114617683, 0.18349666791036726, -0.17537811076617799, -0.01436642276821658, 0.03398233463231008, 0.09066290293121711, -0.03806577234063298, -0.2815185702173039, 0.3856707998726051, -0.0296228802180849, 0.21371531076729297, 0.06951576175633818, 0.048554310685722156, -0.024321195745142177, -0.02094735606224276, 0.06852483246475458, -0.22767358383862302, 0.15129304000292904, 0.3164328382350504, 0.14148272751481272, 0.1785866731283022, -0.4021031702752225, -0.10957587102311664, 0.17664568324835273, 0.12138672892469912, 0.09045218139799545, 0.0001635579712456092, -0.19696004450961482, 0.09989159590913914, -0.18748078865464776, -0.10730122200911865, -0.08626263504847884, 0.03249265600461513, 0.05356582554231863, -0.25405988813727165, -0.037808111837148314, 0.10607059582835063, 0.07482092855498194, -0.027077623188961297, -0.12564469335775358, 0.015800692889024505, 0.10133782178163528, -0.04143533663882408, -0.04020696834486444, 0.02361002945108339, -0.10865993119077758, -0.1682715037735761, 0.3742576061747968, -0.024848473304882646, -0.2624776964832563, 0.1587107438244857, -0.16994418646208942, -0.2457514712616103, 0.06669423846178688, 0.11663984984625131, 0.21190381108317524, -0.07542299794731662, 0.10257967227371409, -0.14805454197339712, 0.05556466113775969, 0.13240393890882843, 0.09538896988742636, 0.13929121284163556, 0.11918607294792309, 0.0962453023181297, 0.2053206759330351, 0.030211011256324128, -0.08575811928603798, -0.30845974141266197, -0.21942474933457562, -0.16252683064667509, 0.08876582375978614, -0.11792970924871042, -0.20854960076976567, 0.4527498411945999, 0.13237881069071591, 0.23188339098269353, 0.12485883127519629, 0.29185049068764785, 0.04608268122683512, 0.05167095213837456, 0.05235261836205609, 0.14997429312570604, 0.19287569692824036, 0.04939103121869266, -0.06659036904748064, 0.03363314684247598, 0.15515988209517673] |
711.3369 | Van der Waals interaction and spontaneous decay of an excited atom in a
superlens-type geometry | Within the framework of macroscopic quantum electrodynamics, the resonant van
der Waals potential experienced by an excited two-level atom near a planar
magneto-electric two-layer system consisting of a slab of left-handed material
and a perfect mirror is studied. It is shown that disregarding of material
absorption leads to unphysical results, with divergent values for the potential
away from the surface. Under appropriate conditions, the setup is found to
feature a barrier near the surface which can be employed to levitate particles
or used as a trapping or cooling mechanism. Finally, the problem of spontaneous
decay [J. K\"{a}stel and M. Fleischhauer, Phys. Rev. A \textbf{68}, 011804(R)
(2005)] is revisited. Disregarding of absorption is shown to drastically
falsify the dependence on the atomic position of the decay rate.
| quant-ph | within the framework of macroscopic quantum electrodynamics the resonant van der waals potential experienced by an excited twolevel atom near a planar magnetoelectric twolayer system consisting of a slab of lefthanded material and a perfect mirror is studied it is shown that disregarding of material absorption leads to unphysical results with divergent values for the potential away from the surface under appropriate conditions the setup is found to feature a barrier near the surface which can be employed to levitate particles or used as a trapping or cooling mechanism finally the problem of spontaneous decay j kastel and m fleischhauer phys rev a textbf68 011804r 2005 is revisited disregarding of absorption is shown to drastically falsify the dependence on the atomic position of the decay rate | [['within', 'the', 'framework', 'of', 'macroscopic', 'quantum', 'electrodynamics', 'the', 'resonant', 'van', 'der', 'waals', 'potential', 'experienced', 'by', 'an', 'excited', 'twolevel', 'atom', 'near', 'a', 'planar', 'magnetoelectric', 'twolayer', 'system', 'consisting', 'of', 'a', 'slab', 'of', 'lefthanded', 'material', 'and', 'a', 'perfect', 'mirror', 'is', 'studied', 'it', 'is', 'shown', 'that', 'disregarding', 'of', 'material', 'absorption', 'leads', 'to', 'unphysical', 'results', 'with', 'divergent', 'values', 'for', 'the', 'potential', 'away', 'from', 'the', 'surface', 'under', 'appropriate', 'conditions', 'the', 'setup', 'is', 'found', 'to', 'feature', 'a', 'barrier', 'near', 'the', 'surface', 'which', 'can', 'be', 'employed', 'to', 'levitate', 'particles', 'or', 'used', 'as', 'a', 'trapping', 'or', 'cooling', 'mechanism', 'finally', 'the', 'problem', 'of', 'spontaneous', 'decay', 'j', 'kastel', 'and', 'm', 'fleischhauer', 'phys', 'rev', 'a', 'textbf68', '011804r', '2005', 'is', 'revisited', 'disregarding', 'of', 'absorption', 'is', 'shown', 'to', 'drastically', 'falsify', 'the', 'dependence', 'on', 'the', 'atomic', 'position', 'of', 'the', 'decay', 'rate']] | [-0.10565532009199922, 0.15014411949643194, -0.05847309707971891, -0.015042338707116283, -0.04859760969937328, -0.17598689921320446, 0.05885491460738253, 0.3396957019614356, -0.2308015545394512, -0.2965200541751279, -0.014084615876087017, -0.2890878756861052, -0.14107418327494675, 0.1932237254053865, -0.018017772145779622, 0.04966414648386548, 0.0017424386779537364, -0.004951688494803684, -0.026125501370012398, -0.19962880485540918, 0.270268450892951, 0.10161305260149792, 0.27022244661014655, 0.09962361427953452, 0.08184753974802012, 0.011570996518487172, 0.07632244260035335, 0.01879577119384081, -0.14818365929767746, 0.06542051214285405, 0.17777617929518344, -0.012922716496001569, 0.24323423889525717, -0.4376885057727416, -0.2218171756999988, 0.06178071347606038, 0.10284967212787559, 0.1642821275078947, -0.046045243729754624, -0.3044867117949311, 0.030221618518548748, -0.16477774534254305, -0.17957767349904433, -0.02899620290695419, 0.05686444901080141, -0.008151656189452737, -0.3002155056568764, 0.0697370542949366, 0.07561744822023977, 0.007905093016057846, -0.062370739148689375, -0.06794455595738855, -0.046198833899031726, 0.021374966521116513, 0.015888993746616068, 0.022716059809505577, 0.19221460427563156, -0.10387157725833071, -0.06290901093293101, 0.4056046992256832, -0.08535692249021057, -0.14900872038467036, 0.19840618256749887, -0.10305324055239438, -0.00013639984723751343, 0.179045259846457, 0.11773397126084854, 0.10788586184818057, -0.15189344477238914, 0.10951654110460603, -0.033762533435477846, 0.17329116876898032, 0.15055618400783127, 0.027623621797594693, 0.23878192141531937, 0.14386280866071297, 0.004074791288604179, 0.13698957441703252, -0.09941987388564515, -0.08504660047718414, -0.28250202010273034, -0.15986891916761506, -0.21106117066172433, 0.07407192037921519, -0.009599868974023153, -0.18314734720297565, 0.34894007041058955, 0.08936844108581182, 0.18297367900114267, -0.06006999799301998, 0.2386808531910872, 0.12872055291494866, 0.05594842640247436, 0.05742724180116408, 0.3230560308053804, 0.158338965174006, 0.07860858742177727, -0.273981197626375, 0.03943396456945207, 0.040529327897069554] |
711.337 | Local Density of States in Mesoscopic Samples from Scanning Gate
Microscopy | We study the relationship between the local density of states (LDOS) and the
conductance variation $\Delta G$ in scanning-gate-microscopy experiments on
mesoscopic structures as a charged tip scans above the sample surface. We
present an analytical model showing that in the linear-response regime the
conductance shift $\Delta G$ is proportional to the Hilbert transform of the
LDOS and hence a generalized Kramers-Kronig relation holds between LDOS and
$\Delta G$. We analyze the physical conditions for the validity of this
relationship both for one-dimensional and two-dimensional systems when several
channels contribute to the transport. We focus on realistic Aharonov-Bohm rings
including a random distribution of impurities and analyze the LDOS-$\Delta G$
correspondence by means of exact numerical simulations, when localized states
or semi-classical orbits characterize the wavefunction of the system.
| cond-mat.mes-hall | we study the relationship between the local density of states ldos and the conductance variation delta g in scanninggatemicroscopy experiments on mesoscopic structures as a charged tip scans above the sample surface we present an analytical model showing that in the linearresponse regime the conductance shift delta g is proportional to the hilbert transform of the ldos and hence a generalized kramerskronig relation holds between ldos and delta g we analyze the physical conditions for the validity of this relationship both for onedimensional and twodimensional systems when several channels contribute to the transport we focus on realistic aharonovbohm rings including a random distribution of impurities and analyze the ldosdelta g correspondence by means of exact numerical simulations when localized states or semiclassical orbits characterize the wavefunction of the system | [['we', 'study', 'the', 'relationship', 'between', 'the', 'local', 'density', 'of', 'states', 'ldos', 'and', 'the', 'conductance', 'variation', 'delta', 'g', 'in', 'scanninggatemicroscopy', 'experiments', 'on', 'mesoscopic', 'structures', 'as', 'a', 'charged', 'tip', 'scans', 'above', 'the', 'sample', 'surface', 'we', 'present', 'an', 'analytical', 'model', 'showing', 'that', 'in', 'the', 'linearresponse', 'regime', 'the', 'conductance', 'shift', 'delta', 'g', 'is', 'proportional', 'to', 'the', 'hilbert', 'transform', 'of', 'the', 'ldos', 'and', 'hence', 'a', 'generalized', 'kramerskronig', 'relation', 'holds', 'between', 'ldos', 'and', 'delta', 'g', 'we', 'analyze', 'the', 'physical', 'conditions', 'for', 'the', 'validity', 'of', 'this', 'relationship', 'both', 'for', 'onedimensional', 'and', 'twodimensional', 'systems', 'when', 'several', 'channels', 'contribute', 'to', 'the', 'transport', 'we', 'focus', 'on', 'realistic', 'aharonovbohm', 'rings', 'including', 'a', 'random', 'distribution', 'of', 'impurities', 'and', 'analyze', 'the', 'ldosdelta', 'g', 'correspondence', 'by', 'means', 'of', 'exact', 'numerical', 'simulations', 'when', 'localized', 'states', 'or', 'semiclassical', 'orbits', 'characterize', 'the', 'wavefunction', 'of', 'the', 'system']] | [-0.1829045631789408, 0.10952711965639866, -0.09860866323230773, 0.09198234271254449, 0.006418032529507214, -0.12286686224452271, 0.07143555403921724, 0.348638360300578, -0.2660175331860898, -0.2742492391647199, 0.01920738266267645, -0.303888670608812, -0.16744571573863642, 0.18223788181143835, 0.010858940682923935, 0.03804568991827683, 0.037459933459318764, 0.00711703518548555, -0.10047657085824611, -0.17185474634188866, 0.33408790702132257, 0.011881360075597864, 0.30381978133062676, 0.0769098137109357, 0.021757012801464852, 0.030654773733937952, 0.04747974108097943, 0.04441770607620243, -0.18814719459033932, 0.07847319658264502, 0.18856422122435892, 0.004525865860811369, 0.21160639141590928, -0.46219082159790215, -0.18983317314813053, 0.07483652284676869, 0.12709579169456883, 0.08938282672462501, -0.02001629469872225, -0.30295580151806195, 0.048290364835667975, -0.11310790086121071, -0.1391811513664626, -0.06316147248194677, 0.0643271920307884, 0.019428845148489582, -0.2527315094187034, 0.13737026211717643, 0.031816591637018395, 0.05806384674882091, -0.05660784099705693, -0.06612955927977147, -0.03162625660628491, 0.11086782592112257, -0.01879092821701041, -0.03356989209749186, 0.1355935249066963, -0.1364600615700575, -0.06380869487967841, 0.34770821480403147, -0.08862672357290147, -0.1775950856385826, 0.16810613390292942, -0.20435918788022295, -0.04937869806106635, 0.05837335806765308, 0.13077127327775862, 0.12206152823247661, -0.13054825160464484, 0.1171874586161864, -0.07938005555674112, 0.1317884019870718, 0.06554103825849987, 0.05333936945205246, 0.20120902140221492, 0.14043750997090082, 0.08193105757676476, 0.14392668895027416, -0.13323923131803006, -0.06116256337451536, -0.33299612850097454, -0.15098771164248748, -0.21496292497361386, 0.05441456025202326, -0.07470297445870815, -0.16942705014559228, 0.4276171766632185, 0.13555331369788629, 0.2148925370580744, 0.04468784415104434, 0.24427744191814596, 0.15740687236479506, 0.009543957680053129, 0.06023414806264827, 0.18612570352999008, 0.2208002250967914, 0.03660867425363775, -0.32219283386522274, 0.000336665179815114, 0.05293353269514665] |
711.3371 | Intrinsic characterization for Lipschitz asymptotically hyperbolic
metrics | Conformally compact asymptotically hyperbolic metrics have been intensively
studied. The goal of this note is to understand what intrinsic conditions on a
complete Riemannian manifold (M,g) will ensure that g is asymptotically
hyperbolic in this sense. We use the geodesic compactification by asymptotic
geodesic rays to compactify M and appropriate curvature decay conditions to
study the regularity of the conformal compactification. We also present an
interesting example that shows our conclusion is nearly optimal for our
assumptions.
| math.DG | conformally compact asymptotically hyperbolic metrics have been intensively studied the goal of this note is to understand what intrinsic conditions on a complete riemannian manifold mg will ensure that g is asymptotically hyperbolic in this sense we use the geodesic compactification by asymptotic geodesic rays to compactify m and appropriate curvature decay conditions to study the regularity of the conformal compactification we also present an interesting example that shows our conclusion is nearly optimal for our assumptions | [['conformally', 'compact', 'asymptotically', 'hyperbolic', 'metrics', 'have', 'been', 'intensively', 'studied', 'the', 'goal', 'of', 'this', 'note', 'is', 'to', 'understand', 'what', 'intrinsic', 'conditions', 'on', 'a', 'complete', 'riemannian', 'manifold', 'mg', 'will', 'ensure', 'that', 'g', 'is', 'asymptotically', 'hyperbolic', 'in', 'this', 'sense', 'we', 'use', 'the', 'geodesic', 'compactification', 'by', 'asymptotic', 'geodesic', 'rays', 'to', 'compactify', 'm', 'and', 'appropriate', 'curvature', 'decay', 'conditions', 'to', 'study', 'the', 'regularity', 'of', 'the', 'conformal', 'compactification', 'we', 'also', 'present', 'an', 'interesting', 'example', 'that', 'shows', 'our', 'conclusion', 'is', 'nearly', 'optimal', 'for', 'our', 'assumptions']] | [-0.14459017165498084, 0.08778681808817292, -0.13228476146695675, 0.1551455094844901, -0.1548501479124965, -0.11017585035969878, -0.0482728335335125, 0.41990854697568075, -0.18847907878845543, -0.2349910913821455, 0.14098461322613398, -0.2628577073382867, -0.17933520010684606, 0.1690723429186052, -0.16526984503226622, 0.04878339860830214, 0.07370794164742549, 0.07876327597572431, -0.07460156865055104, -0.30663144104666523, 0.41262294724583626, 0.05985856059841908, 0.2915336463431066, 0.06625040827391597, 0.10768035713389709, -0.07305327265874131, 0.0006132193707994052, 0.02827499366014615, -0.25923035082852547, 0.10257498271061809, 0.25062804834844615, 0.08212583611549978, 0.19366304639291454, -0.3475973697911416, -0.2204257362921323, 0.14886584741293224, 0.15490338647611102, 0.0264194189546654, -0.042745085292519976, -0.26368470770585073, 0.14217438706190796, -0.03772589410715676, -0.2380749889915543, -0.07360936956504335, 0.04164027601674006, -0.07114571466279979, -0.22329464477378053, -0.044216362484685426, 0.1315363644585981, 0.03591718107413549, -0.05320109423346721, -0.03109369809170822, -0.023517510690423963, 0.07394983183423226, 0.11330968555510527, 0.04731803345977776, 0.0921174591927269, 0.0035546924775260707, -0.053674251344599216, 0.35112913983402316, -0.09985718828952544, -0.28747119796885684, 0.14545973719327482, -0.1595455076690618, -0.17272777533666653, 0.11113019781670981, 0.1534229269819697, 0.1911702844761796, -0.15905998102933555, 0.1807168485988355, -0.0640884905693714, 0.09842391394369014, 0.10797015889608241, 0.010750975701716039, 0.13595227834272694, 0.14635303683953915, 0.17382091268376967, 0.1256788830732467, 0.009308739120817998, -0.050744697965633176, -0.3796211315633415, -0.2017403928345287, -0.14463019502264532, 0.21649589050899853, -0.13142739629426625, -0.16627675684338267, 0.34505532563107644, 0.08513038158745584, 0.15188748943438005, 0.08677189896645193, 0.22777311610324041, 0.023032070616828642, -0.010957073565427359, 0.14300977570373663, 0.269652845217036, 0.16322332896691347, 0.03830955375149217, -0.18257940043513846, -0.026721963791974952, 0.11459499954959596] |
711.3372 | On the range of validity of the fluctuation theorem for stochastic
Markovian dynamics | We consider the fluctuations of generalized currents in stochastic Markovian
dynamics. The large deviations of current fluctuations are shown to obey a
Gallavotti-Cohen (GC) type symmetry in systems with a finite state space.
However, this symmetry is not guaranteed to hold in systems with an infinite
state space. A simple example of such a case is the Zero-Range Process (ZRP).
Here we discuss in more detail the already reported breakdown of the GC
symmetry in the context of the ZRP with open boundaries and we give a physical
interpretation of the phases that appear. Furthermore, the earlier analytical
results for the single-site case are extended to cover multiple-site systems.
We also use our exact results to test an efficient numerical algorithm of
Giardina, Kurchan and Peliti, which was developed to measure the current large
deviation function directly. We find that this method breaks down in some
phases which we associate with the gapless spectrum of an effective
Hamiltonian.
| cond-mat.stat-mech | we consider the fluctuations of generalized currents in stochastic markovian dynamics the large deviations of current fluctuations are shown to obey a gallavotticohen gc type symmetry in systems with a finite state space however this symmetry is not guaranteed to hold in systems with an infinite state space a simple example of such a case is the zerorange process zrp here we discuss in more detail the already reported breakdown of the gc symmetry in the context of the zrp with open boundaries and we give a physical interpretation of the phases that appear furthermore the earlier analytical results for the singlesite case are extended to cover multiplesite systems we also use our exact results to test an efficient numerical algorithm of giardina kurchan and peliti which was developed to measure the current large deviation function directly we find that this method breaks down in some phases which we associate with the gapless spectrum of an effective hamiltonian | [['we', 'consider', 'the', 'fluctuations', 'of', 'generalized', 'currents', 'in', 'stochastic', 'markovian', 'dynamics', 'the', 'large', 'deviations', 'of', 'current', 'fluctuations', 'are', 'shown', 'to', 'obey', 'a', 'gallavotticohen', 'gc', 'type', 'symmetry', 'in', 'systems', 'with', 'a', 'finite', 'state', 'space', 'however', 'this', 'symmetry', 'is', 'not', 'guaranteed', 'to', 'hold', 'in', 'systems', 'with', 'an', 'infinite', 'state', 'space', 'a', 'simple', 'example', 'of', 'such', 'a', 'case', 'is', 'the', 'zerorange', 'process', 'zrp', 'here', 'we', 'discuss', 'in', 'more', 'detail', 'the', 'already', 'reported', 'breakdown', 'of', 'the', 'gc', 'symmetry', 'in', 'the', 'context', 'of', 'the', 'zrp', 'with', 'open', 'boundaries', 'and', 'we', 'give', 'a', 'physical', 'interpretation', 'of', 'the', 'phases', 'that', 'appear', 'furthermore', 'the', 'earlier', 'analytical', 'results', 'for', 'the', 'singlesite', 'case', 'are', 'extended', 'to', 'cover', 'multiplesite', 'systems', 'we', 'also', 'use', 'our', 'exact', 'results', 'to', 'test', 'an', 'efficient', 'numerical', 'algorithm', 'of', 'giardina', 'kurchan', 'and', 'peliti', 'which', 'was', 'developed', 'to', 'measure', 'the', 'current', 'large', 'deviation', 'function', 'directly', 'we', 'find', 'that', 'this', 'method', 'breaks', 'down', 'in', 'some', 'phases', 'which', 'we', 'associate', 'with', 'the', 'gapless', 'spectrum', 'of', 'an', 'effective', 'hamiltonian']] | [-0.13113333472740377, 0.12795066856438386, -0.10701212111294647, 0.09994662992987656, -0.04254590281391445, -0.11285977191999083, 0.052426203441381734, 0.35544285876234355, -0.23913513897782593, -0.25512505618964404, 0.09347830689954277, -0.24940874128708546, -0.15006474961962882, 0.16464671520869942, -0.04132838429930278, 0.041717543824475636, 0.02052615075431104, 0.028028130666883307, -0.08686205653821508, -0.22701534863614442, 0.2967083664799604, 0.024578403489210324, 0.2760854371310554, 0.04207045989128749, 0.07254358146728689, -0.004146929668215445, 0.035677489955744504, 0.025040706471890755, -0.15075291913119512, 0.07858466625337407, 0.2170156996455515, 0.06166622807087393, 0.19781860330177448, -0.4166952343068168, -0.2233035586615199, 0.11737047193890225, 0.14670911980361848, 0.1721806225729399, -0.06373573198542072, -0.2902363000844334, 0.06465142565231205, -0.20401835357004044, -0.19947154965263472, -0.07887554682696922, 0.015907839270709438, 0.01315332074278282, -0.26146455059900786, 0.09246904148957456, 0.07971694443044783, 0.034182477951686406, -0.06797901220631468, -0.07480486053634505, -0.0025169453097365893, 0.08834810375790053, 0.03010195111424833, 0.005727132466250347, 0.09386165002935648, -0.09888215289934527, -0.1363748541585158, 0.36332357495645934, -0.06693151332894812, -0.21337727363563225, 0.21540404853441963, -0.15339421942152962, -0.18401945536201703, 0.10831328725171145, 0.12581472043419564, 0.09669547429591228, -0.16311703238612676, 0.10164184556740537, -0.055265038586634244, 0.1321153718387985, -0.01471494237856963, 0.015617110571953693, 0.16447091149166226, 0.15742688107436348, 0.0797796504943384, 0.16387824777401747, -0.06002143387169919, -0.1511663392383629, -0.31651398512428697, -0.14954493388893153, -0.1718481632002594, 0.050234739010055, -0.04979708188642966, -0.16875517458409584, 0.380952777470686, 0.1899467468765694, 0.20061698159250088, 0.05840680944804055, 0.2267897061508479, 0.1546115950553065, 0.04748933637718069, 0.08871263533807065, 0.22738888962993759, 0.12387162447491472, 0.08511566936592513, -0.23060584314096766, 0.01083918555921144, 0.039555745787293754] |
711.3373 | PopStar: A new grid of Evolutionary Synthesis Models in the Virtual
Observatory | We present a new set of theoretical evolutionary synthesis models, PopStar.
This grid of Single Stellar Populations covers a wide range in both, age and
metallicity. The models use the most recent evolutionary tracks together with
the use of new NLTE atmosphere models for the hot stars (O, B, WR, post-AGB
stars, planetary nebulae) that dominate the stellar cluster's ionizing spectra.
The results of the models in VO format can be used through VOSpec.
| astro-ph | we present a new set of theoretical evolutionary synthesis models popstar this grid of single stellar populations covers a wide range in both age and metallicity the models use the most recent evolutionary tracks together with the use of new nlte atmosphere models for the hot stars o b wr postagb stars planetary nebulae that dominate the stellar clusters ionizing spectra the results of the models in vo format can be used through vospec | [['we', 'present', 'a', 'new', 'set', 'of', 'theoretical', 'evolutionary', 'synthesis', 'models', 'popstar', 'this', 'grid', 'of', 'single', 'stellar', 'populations', 'covers', 'a', 'wide', 'range', 'in', 'both', 'age', 'and', 'metallicity', 'the', 'models', 'use', 'the', 'most', 'recent', 'evolutionary', 'tracks', 'together', 'with', 'the', 'use', 'of', 'new', 'nlte', 'atmosphere', 'models', 'for', 'the', 'hot', 'stars', 'o', 'b', 'wr', 'postagb', 'stars', 'planetary', 'nebulae', 'that', 'dominate', 'the', 'stellar', 'clusters', 'ionizing', 'spectra', 'the', 'results', 'of', 'the', 'models', 'in', 'vo', 'format', 'can', 'be', 'used', 'through', 'vospec']] | [0.015021610350624935, 0.10481156326981413, -0.06017781269258341, 0.09357456444303279, -0.0876004239575736, -0.05229405721498502, 0.07538493359901917, 0.4338625864805402, -0.17110260847383305, -0.37249482645829385, -0.00218643994083175, -0.2403552111464779, -0.0002434506534120521, 0.20369468252190287, -0.10342460953806704, -0.032225627430110565, 0.1896125223248492, -0.14346685899874648, 0.009930764592403697, -0.2744904538817905, 0.30279370219874624, 0.031350460740410396, 0.0742389662568835, -0.07690085538637799, -0.016288249231119815, -0.11546331462198617, -0.06658181166779753, -0.04697983042412513, -0.18209306151038618, 0.09288402119843364, 0.25073098192700166, 0.23416909475722728, 0.19430219154703474, -0.35966508811641784, -0.2683058377179141, 0.03899938809509213, 0.21076038630830274, 0.08340662135113333, -0.12556178395548281, -0.19756649795768633, 0.04801454970210388, -0.22834564240750027, -0.11084056928332241, 0.04703392575469774, 0.003340316404638862, 0.08609165650842762, -0.2545263981572478, 0.032024044685090916, -0.012687383710431892, 0.14380864535986976, -0.15048598895805912, -0.20781025842990022, -0.10646161235352927, 0.14791613450978655, -0.05064701220347873, 0.01158008916536346, 0.11736389360000454, -0.14787674932803557, -0.05631579159180055, 0.4246303006830449, -0.1307821067780055, -0.02120210524849795, 0.27837424817797096, -0.13086921430973186, -0.20963455848647533, 0.09631828311830759, 0.19116473518865737, 0.20182696546151027, -0.20562090679399064, 0.055190601441977745, -0.02822110224263491, 0.21551057409709068, -0.026688510098972835, 0.01901826004472536, 0.36917830337266866, 0.14948740799131022, -0.04289289946491654, 0.039339390937301856, -0.1916391884757055, -0.08428434770856355, -0.20829987169771985, -0.11446073847961284, -0.055704621371586584, 0.02550462494931511, -0.1769825481002241, -0.21305840914263516, 0.3806639730999548, 0.18208375211326858, 0.16288197574180527, 0.030063134253125737, 0.2931676572692153, 0.07582569605457704, 0.08465119413921383, 0.12089314099048844, 0.23246407455361978, 0.21611738715924927, 0.1496974703528591, -0.24392209574580193, 0.11403588560013403, 0.017975969063873228] |
711.3374 | A note on non-linear electrodynamics, regular black holes and the
entropy function | We examine four dimensional magnetically charged extremal black holes in
certain non-linear U(1) gauge theories coupled to two derivative gravity. For a
given coupling, one can tune the magnetic charge (or vice versa) so that the
curvature singularity at the centre of the space-time is cancelled. Since these
solutions have a horizon but no singularity, they have been called regular
black holes. Contrary to recent claims in the literature, we find that the
entropy function formalism reproduces the near horizon geometry and gives the
correct entropy for these objects.
| hep-th gr-qc | we examine four dimensional magnetically charged extremal black holes in certain nonlinear u1 gauge theories coupled to two derivative gravity for a given coupling one can tune the magnetic charge or vice versa so that the curvature singularity at the centre of the spacetime is cancelled since these solutions have a horizon but no singularity they have been called regular black holes contrary to recent claims in the literature we find that the entropy function formalism reproduces the near horizon geometry and gives the correct entropy for these objects | [['we', 'examine', 'four', 'dimensional', 'magnetically', 'charged', 'extremal', 'black', 'holes', 'in', 'certain', 'nonlinear', 'u1', 'gauge', 'theories', 'coupled', 'to', 'two', 'derivative', 'gravity', 'for', 'a', 'given', 'coupling', 'one', 'can', 'tune', 'the', 'magnetic', 'charge', 'or', 'vice', 'versa', 'so', 'that', 'the', 'curvature', 'singularity', 'at', 'the', 'centre', 'of', 'the', 'spacetime', 'is', 'cancelled', 'since', 'these', 'solutions', 'have', 'a', 'horizon', 'but', 'no', 'singularity', 'they', 'have', 'been', 'called', 'regular', 'black', 'holes', 'contrary', 'to', 'recent', 'claims', 'in', 'the', 'literature', 'we', 'find', 'that', 'the', 'entropy', 'function', 'formalism', 'reproduces', 'the', 'near', 'horizon', 'geometry', 'and', 'gives', 'the', 'correct', 'entropy', 'for', 'these', 'objects']] | [-0.1569037685495163, 0.13738662519314315, -0.08136608373515015, 0.1520234850860525, -0.09471045191703217, -0.1863830705288421, -0.03241399067631933, 0.33395617669762184, -0.1798804850641931, -0.25464334585860876, 0.10201885685418847, -0.35015156277026355, -0.12650949272766626, 0.12635642980497455, -0.06772976536094473, 0.002227280806917488, -0.041786607553701054, 0.08713749235265711, -0.09893943850353905, -0.2387228924048583, 0.3643148282406789, 0.04048191823243174, 0.2587692557174838, 0.04625889641661825, 0.11117497447543265, -0.026046848489662235, 0.02797409188881349, 0.10816808360932248, -0.169160008099057, 0.037125893156933654, 0.21876356321167242, 0.08135995274838688, 0.20897747993239024, -0.44129976297446183, -0.23213513879879807, 0.1111775711858959, 0.151256454464969, 0.1759975196249532, -0.09256836880793733, -0.23199867333672688, 0.07303517296114999, -0.17897678405737108, -0.1669959870044121, -0.07863103783051117, 0.0369729609804207, -0.07906552668912022, -0.17972132473598035, 0.09600604900807728, 0.06488797062317307, -0.04630454512459509, -0.09328162285834132, -0.03566107714255707, -0.09183347113744429, 0.06439943527645861, 0.13516217663496985, 0.03634324112352444, 0.1669037615137405, -0.11955069944766426, -0.139627745087269, 0.292288057281102, -0.035838053092488685, -0.2282399150720808, 0.18743238114396088, -0.24254214691764706, -0.12135694352805279, 0.11263291737210811, 0.10980307554637783, 0.18203844200934838, -0.12188701944823345, 0.17064967428613978, -0.006882197851461641, 0.12859232998923975, 0.1371912583918049, 0.060452406643889844, 0.37350623562325086, 0.04127569609646047, 0.049729820623407875, 0.13649909567150675, -0.04389445838424262, -0.13241921809094492, -0.32808100155900033, -0.15674093808280468, -0.13761192002448808, 0.08760349974925682, -0.13299333987469142, -0.2019267522159629, 0.3328386122109682, 0.14311251463041524, 0.17039536746490871, 0.0063082591651447036, 0.21522558033062483, 0.12858205711929482, 0.07847942811635773, 0.1023872816108502, 0.3647763877296088, 0.10877114274078624, 0.12712325552070325, -0.2271703763425434, -0.043115179759471184, 0.12106750107610996] |
711.3375 | An Inflationary Fixed Point Operator in XQuery | We introduce a controlled form of recursion in XQuery, inflationary fixed
points, familiar in the context of relational databases. This imposes
restrictions on the expressible types of recursion, but we show that
inflationary fixed points nevertheless are sufficiently versatile to capture a
wide range of interesting use cases, including the semantics of Regular XPath
and its core transitive closure construct.
While the optimization of general user-defined recursive functions in XQuery
appears elusive, we will describe how inflationary fixed points can be
efficiently evaluated, provided that the recursive XQuery expressions exhibit a
distributivity property. We show how distributivity can be assessed both,
syntactically and algebraically, and provide experimental evidence that XQuery
processors can substantially benefit during inflationary fixed point
evaluation.
| cs.DB | we introduce a controlled form of recursion in xquery inflationary fixed points familiar in the context of relational databases this imposes restrictions on the expressible types of recursion but we show that inflationary fixed points nevertheless are sufficiently versatile to capture a wide range of interesting use cases including the semantics of regular xpath and its core transitive closure construct while the optimization of general userdefined recursive functions in xquery appears elusive we will describe how inflationary fixed points can be efficiently evaluated provided that the recursive xquery expressions exhibit a distributivity property we show how distributivity can be assessed both syntactically and algebraically and provide experimental evidence that xquery processors can substantially benefit during inflationary fixed point evaluation | [['we', 'introduce', 'a', 'controlled', 'form', 'of', 'recursion', 'in', 'xquery', 'inflationary', 'fixed', 'points', 'familiar', 'in', 'the', 'context', 'of', 'relational', 'databases', 'this', 'imposes', 'restrictions', 'on', 'the', 'expressible', 'types', 'of', 'recursion', 'but', 'we', 'show', 'that', 'inflationary', 'fixed', 'points', 'nevertheless', 'are', 'sufficiently', 'versatile', 'to', 'capture', 'a', 'wide', 'range', 'of', 'interesting', 'use', 'cases', 'including', 'the', 'semantics', 'of', 'regular', 'xpath', 'and', 'its', 'core', 'transitive', 'closure', 'construct', 'while', 'the', 'optimization', 'of', 'general', 'userdefined', 'recursive', 'functions', 'in', 'xquery', 'appears', 'elusive', 'we', 'will', 'describe', 'how', 'inflationary', 'fixed', 'points', 'can', 'be', 'efficiently', 'evaluated', 'provided', 'that', 'the', 'recursive', 'xquery', 'expressions', 'exhibit', 'a', 'distributivity', 'property', 'we', 'show', 'how', 'distributivity', 'can', 'be', 'assessed', 'both', 'syntactically', 'and', 'algebraically', 'and', 'provide', 'experimental', 'evidence', 'that', 'xquery', 'processors', 'can', 'substantially', 'benefit', 'during', 'inflationary', 'fixed', 'point', 'evaluation']] | [-0.16205854046534152, 0.08431569996344693, -0.1007708081380785, 0.1464282958680263, -0.15983255696678614, -0.1941982258674728, 0.066702026255554, 0.3781837532375039, -0.30214930542142077, -0.27105805434349206, 0.07172416792028122, -0.21344423259631926, -0.15308883492717473, 0.20976056682118097, -0.08986798730217108, 0.054630924563584926, 0.088595182844242, 0.03847549450138638, -0.08789805913962298, -0.26548527765475183, 0.28759691947210236, -0.025258792924279926, 0.23236112472867326, 0.04689969334794412, 0.07987961511542442, -0.00917649841691297, -0.0036039461906091507, 0.05376348404924935, -0.13205789684941904, 0.10484548422562726, 0.32931823583961534, 0.23891302416132404, 0.20250238097828477, -0.43709916180046665, -0.14180237280220545, 0.12109667491441702, 0.17311262701317168, 0.07978346239102363, -0.033316288437858665, -0.2709141138700393, 0.12377817919399559, -0.18740870149320915, -0.08726303039329956, -0.2087571358875843, 0.009824125792737268, 0.02686132925724955, -0.2647716106314744, -0.0399348331818811, 0.09885248134476173, 0.088424594274589, -0.022563578990413297, -0.07825532972694281, -0.020056823464188755, 0.07897428275250337, -0.00135310272052258, 0.003916221579826367, 0.14178764983275985, -0.08143487432384629, -0.14460644703221454, 0.3872740332178083, -0.042116537028845366, -0.19610719104931384, 0.15687189867500873, -0.10424714421994295, -0.19366545140539773, 0.07688701687333714, 0.13273635384149285, 0.10099961619018068, -0.12204335632287905, 0.1774322288252703, -0.043093634393660964, 0.1786671387945877, 0.12922072050772107, 0.05821601818208074, 0.24860397760537178, 0.12557166547929288, 0.019212789167336996, 0.18800324948011515, 0.027927935348448008, -0.1156021800604375, -0.3449617811564763, -0.10224103879089616, -0.11680267652801919, -0.0053771305829286575, -0.14164133151533853, -0.22252103038711332, 0.38324498041423366, 0.20247572997365804, 0.1607717363429921, 0.14603638717662074, 0.2681212242019652, 0.12252250942010276, 0.10699259541036577, 0.08364263040154483, 0.14316450118502022, 0.016470306936432335, 0.08800442383170691, -0.15890873256804688, 0.09431915290794578, 0.07546276819770921] |
711.3376 | Solving the flavour problem with hierarchical fermion wave functions | We investigate the flavour structure of generic extensions of the SM where
quark and lepton mass hierarchies and the suppression of flavour-changing
transitions originate only by the normalization constants of the fermion
kinetic terms. We show that in such scenarios the contributions to quark FCNC
transitions from dimension-six effective operators are sufficiently suppressed
without (or with modest) fine tuning in the effective scale of new physics. The
most serious challenge to this type of scenarios appears in the lepton sector,
thanks to the stringent bounds on LFV. The phenomenological consequences of
this scenarios in view of improved experimental data on quark and lepton FCNC
transitions, and its differences with respect to the Minimal Flavour Violation
hypothesis are also discussed.
| hep-ph | we investigate the flavour structure of generic extensions of the sm where quark and lepton mass hierarchies and the suppression of flavourchanging transitions originate only by the normalization constants of the fermion kinetic terms we show that in such scenarios the contributions to quark fcnc transitions from dimensionsix effective operators are sufficiently suppressed without or with modest fine tuning in the effective scale of new physics the most serious challenge to this type of scenarios appears in the lepton sector thanks to the stringent bounds on lfv the phenomenological consequences of this scenarios in view of improved experimental data on quark and lepton fcnc transitions and its differences with respect to the minimal flavour violation hypothesis are also discussed | [['we', 'investigate', 'the', 'flavour', 'structure', 'of', 'generic', 'extensions', 'of', 'the', 'sm', 'where', 'quark', 'and', 'lepton', 'mass', 'hierarchies', 'and', 'the', 'suppression', 'of', 'flavourchanging', 'transitions', 'originate', 'only', 'by', 'the', 'normalization', 'constants', 'of', 'the', 'fermion', 'kinetic', 'terms', 'we', 'show', 'that', 'in', 'such', 'scenarios', 'the', 'contributions', 'to', 'quark', 'fcnc', 'transitions', 'from', 'dimensionsix', 'effective', 'operators', 'are', 'sufficiently', 'suppressed', 'without', 'or', 'with', 'modest', 'fine', 'tuning', 'in', 'the', 'effective', 'scale', 'of', 'new', 'physics', 'the', 'most', 'serious', 'challenge', 'to', 'this', 'type', 'of', 'scenarios', 'appears', 'in', 'the', 'lepton', 'sector', 'thanks', 'to', 'the', 'stringent', 'bounds', 'on', 'lfv', 'the', 'phenomenological', 'consequences', 'of', 'this', 'scenarios', 'in', 'view', 'of', 'improved', 'experimental', 'data', 'on', 'quark', 'and', 'lepton', 'fcnc', 'transitions', 'and', 'its', 'differences', 'with', 'respect', 'to', 'the', 'minimal', 'flavour', 'violation', 'hypothesis', 'are', 'also', 'discussed']] | [-0.09538917680184882, 0.25007131858141857, 0.022116183373732726, 0.1634007132193465, -0.08621652921888695, -0.14469297870234468, 0.11489955299072155, 0.26192624987877844, -0.22348232928980455, -0.3174896298916502, 0.04374521573958527, -0.2866326708722265, -0.04952834056839034, 0.10490240554223541, 0.012417351682239971, 0.06452341863597907, 0.04111152750385158, -0.028149839991531454, -0.099419054185909, -0.21963452093084068, 0.34971064051315814, 0.011106325383885066, 0.22501985668282987, 0.16111330624998493, 0.022090822035650246, -0.07335633754792835, -0.06157333348650767, -0.06963707707791018, -0.10675625653944551, 0.08427102520412319, 0.18504010607388668, 0.08350773442912252, 0.07668365830234683, -0.41596601818915174, -0.1507232318878831, 0.15658101158513993, 0.13327629539035574, 0.11762653990304332, -0.07095457146828603, -0.32500710850679354, 0.08595885201396436, -0.1893175665314599, -0.10511210972850188, -0.11416928520185986, -0.030989236800007897, -0.07605007263448309, -0.3667769456001492, 0.07443183413515955, -0.018298433616193904, 0.03126654352898858, 0.030626557298795078, -0.18888765751352893, -0.02697214443518334, 0.044612428989308346, 0.20217003931580974, -0.003960044913682617, 0.15185489583791806, -0.22877065552899442, -0.17758656416808358, 0.45646426433838216, -0.09278813293281973, -0.19842088913560665, 0.19393413731859638, -0.18915836893789031, -0.21759325984614497, 0.059692672876437675, 0.19318707450684316, 0.04654041251794733, -0.17250781057905326, 0.19796736400864018, -0.021345568625178158, 0.11905468888815586, 0.05086487236221423, 0.10385693051312275, 0.22281880539004542, 0.19491708958756274, 0.05239583162919564, 0.03067091038497556, -0.03613408248159377, -0.0883085015269012, -0.41732980112913026, -0.07544582665843122, -0.0679873571371143, 0.043414984978422395, -0.10876914912770197, -0.10333143022330087, 0.4480529185032331, 0.16519852529647722, 0.23782195413031249, -0.010293381257342691, 0.2762845333356473, 0.0900290298682614, 0.12357530534705695, 0.010887069971997197, 0.29834439158987475, 0.1377225310302989, 0.12553868204464808, -0.28267938027964484, 0.04934470042461107, 0.05634903109695042] |
711.3377 | Storage and retrieval of nonclassical photon pairs and conditional
single photons generated by parametric down-conversion process | Storage and retrieval of parametric down-conversion (PDC) photons are
demonstrated with electromagnetically induced transparency (EIT). Extreme
frequency filtering is performed for THz order of broadband PDC light and the
frequency bandwidth of the light is reduced to MHz order. Storage and retrieval
procedures are carried out for the frequency filtered PDC photons. Since the
filtered bandwidth [full width at half-maximum (FWHM) = 9 MHz] is within the
EIT window (FWHM = 12.6 MHz), the flux of the PDC light is successfully stored
and retrieved. The nonclassicality of the retrieved light is confirmed by using
photon counting method, where the classical inequality which is only satisfied
for classical light fields is introduced. Since the PDC photons can be utilized
for producing the single photon state conditionally, storage and retrieval
procedures are also performed for the conditional single photons.
Anti-correlation parameter used for checking the property of single photon
state shows the value less than 1, which means the retrieved light is in a
non-classical region.
| quant-ph | storage and retrieval of parametric downconversion pdc photons are demonstrated with electromagnetically induced transparency eit extreme frequency filtering is performed for thz order of broadband pdc light and the frequency bandwidth of the light is reduced to mhz order storage and retrieval procedures are carried out for the frequency filtered pdc photons since the filtered bandwidth full width at halfmaximum fwhm 9 mhz is within the eit window fwhm 126 mhz the flux of the pdc light is successfully stored and retrieved the nonclassicality of the retrieved light is confirmed by using photon counting method where the classical inequality which is only satisfied for classical light fields is introduced since the pdc photons can be utilized for producing the single photon state conditionally storage and retrieval procedures are also performed for the conditional single photons anticorrelation parameter used for checking the property of single photon state shows the value less than 1 which means the retrieved light is in a nonclassical region | [['storage', 'and', 'retrieval', 'of', 'parametric', 'downconversion', 'pdc', 'photons', 'are', 'demonstrated', 'with', 'electromagnetically', 'induced', 'transparency', 'eit', 'extreme', 'frequency', 'filtering', 'is', 'performed', 'for', 'thz', 'order', 'of', 'broadband', 'pdc', 'light', 'and', 'the', 'frequency', 'bandwidth', 'of', 'the', 'light', 'is', 'reduced', 'to', 'mhz', 'order', 'storage', 'and', 'retrieval', 'procedures', 'are', 'carried', 'out', 'for', 'the', 'frequency', 'filtered', 'pdc', 'photons', 'since', 'the', 'filtered', 'bandwidth', 'full', 'width', 'at', 'halfmaximum', 'fwhm', '9', 'mhz', 'is', 'within', 'the', 'eit', 'window', 'fwhm', '126', 'mhz', 'the', 'flux', 'of', 'the', 'pdc', 'light', 'is', 'successfully', 'stored', 'and', 'retrieved', 'the', 'nonclassicality', 'of', 'the', 'retrieved', 'light', 'is', 'confirmed', 'by', 'using', 'photon', 'counting', 'method', 'where', 'the', 'classical', 'inequality', 'which', 'is', 'only', 'satisfied', 'for', 'classical', 'light', 'fields', 'is', 'introduced', 'since', 'the', 'pdc', 'photons', 'can', 'be', 'utilized', 'for', 'producing', 'the', 'single', 'photon', 'state', 'conditionally', 'storage', 'and', 'retrieval', 'procedures', 'are', 'also', 'performed', 'for', 'the', 'conditional', 'single', 'photons', 'anticorrelation', 'parameter', 'used', 'for', 'checking', 'the', 'property', 'of', 'single', 'photon', 'state', 'shows', 'the', 'value', 'less', 'than', '1', 'which', 'means', 'the', 'retrieved', 'light', 'is', 'in', 'a', 'nonclassical', 'region']] | [-0.07903864209624266, 0.19340389818642978, -0.03963965199669294, 0.060674349806145014, -0.058319795114292916, -0.18174113181166718, 0.09218247551011083, 0.4600075612327567, -0.25670097679773596, -0.3192358593352967, 0.07810548293895812, -0.26547322552191255, 0.028325934604063262, 0.2902883821796557, -0.021427874151727956, 0.12498860151426476, 0.056355206635033274, 0.0010518652105267034, 0.011120759351696406, -0.19944315301081925, 0.23290699642772475, 0.06591539392477752, 0.3485918261777656, 0.0210900531594773, 0.1333729100448114, 0.030014040957515437, -0.04231611064227045, -0.08851052384771821, -0.02963257043760408, 0.09147008126716555, 0.24002533898844072, 0.13499119679765476, 0.22900515962334603, -0.31850509548467804, -0.23568187199280033, 0.1320732328293408, 0.1352493112926935, 0.07345116783916536, -0.027389810584416543, -0.31947238254935745, 0.05350778213368706, -0.10896820651387427, -0.0826421153133758, -0.028702890143994197, -0.04039337849072008, -0.010825195769422952, -0.2977644194515399, 0.07567065553348022, 0.012592190273686738, 0.07574427995635312, 0.039110204121557836, -0.04021449636001094, -0.021522691855667, 0.021298834671737786, -0.07348451756205364, -0.01641480649396041, 0.14404307585784498, -0.10539048556008457, -0.11780082307580605, 0.3757642902973551, -0.06555542311630065, -0.08351590809481288, 0.05229989178033178, -0.1599269064149049, -0.017472249378139775, 0.22941412895710933, 0.10349182977504959, 0.0991634386735336, -0.1382181520328029, 6.395704680651335e-05, -0.008957136341911039, 0.3047351643470415, 0.1712480473007294, 0.15003172668087997, 0.17983265088894118, 0.13214600682373584, -0.002694537966615624, 0.1917127313194394, -0.19624160210613484, -0.052612552722559575, -0.29093880319599935, -0.10970997111153226, -0.2054738149256733, 0.03423289845433132, -0.07431295219358605, -0.09166312231509774, 0.4267062632665958, 0.13888456378589142, 0.09975460844608829, -0.029875971708895156, 0.34474919230050555, 0.21045984338428594, 0.06906712356974395, 0.06634071807055102, 0.31407387903029166, 0.16257532852857062, 0.13569336352664346, -0.20776745862396503, 0.019278216831110143, -0.022864028104339486] |
711.3378 | Strain-assisted spin manipulating and the discerption of strain-induced
spin splitting | We show that the efficiency of manipulating electron spin in semiconductor
quantum wells can be enhanced by tuning the strain strength. The effect
combining intrinsic and strain-induced spin splitting varies for different
systems, which provides an alternative route to understand the experimental
phenomena brought in by the strain. The types of spin splittings caused by
strain are suggested to be distinguished by the measurement of the
electron-dipole-spin-resonance intensity through changing the direction of the
$ac$ electric field in the $x$-$y$ plane of the quantum well and tuning the
strain strengths.
| cond-mat.mes-hall cond-mat.mtrl-sci | we show that the efficiency of manipulating electron spin in semiconductor quantum wells can be enhanced by tuning the strain strength the effect combining intrinsic and straininduced spin splitting varies for different systems which provides an alternative route to understand the experimental phenomena brought in by the strain the types of spin splittings caused by strain are suggested to be distinguished by the measurement of the electrondipolespinresonance intensity through changing the direction of the ac electric field in the xy plane of the quantum well and tuning the strain strengths | [['we', 'show', 'that', 'the', 'efficiency', 'of', 'manipulating', 'electron', 'spin', 'in', 'semiconductor', 'quantum', 'wells', 'can', 'be', 'enhanced', 'by', 'tuning', 'the', 'strain', 'strength', 'the', 'effect', 'combining', 'intrinsic', 'and', 'straininduced', 'spin', 'splitting', 'varies', 'for', 'different', 'systems', 'which', 'provides', 'an', 'alternative', 'route', 'to', 'understand', 'the', 'experimental', 'phenomena', 'brought', 'in', 'by', 'the', 'strain', 'the', 'types', 'of', 'spin', 'splittings', 'caused', 'by', 'strain', 'are', 'suggested', 'to', 'be', 'distinguished', 'by', 'the', 'measurement', 'of', 'the', 'electrondipolespinresonance', 'intensity', 'through', 'changing', 'the', 'direction', 'of', 'the', 'ac', 'electric', 'field', 'in', 'the', 'xy', 'plane', 'of', 'the', 'quantum', 'well', 'and', 'tuning', 'the', 'strain', 'strengths']] | [-0.17972231770373798, 0.2407288227004347, -0.009144470116563058, 0.01096749822661448, -0.03794097946433539, -0.12227832394118389, 0.04070156929344776, 0.41209307484056673, -0.3414964760036281, -0.34467552924591505, -0.004244845280727225, -0.2108255885960011, -0.1285593017695074, 0.25118878751658325, 0.0293904651751679, -0.004047608107663273, -0.031820340615728596, -0.07226529485137945, -0.08570931536365259, -0.18638917732737917, 0.2872120721417406, 0.05169161093902638, 0.33938125303287187, 0.0935104638128803, 0.05789060951367523, 0.06084626402412908, 0.05834896319409769, 0.055799504396704475, -0.10820428183960554, 0.10785311953886674, 0.22089166519640202, -0.043391354779681465, 0.19934516056869808, -0.4303878883548667, -0.21641734711239846, 0.036088013210532705, 0.12191950459179751, 0.17560800148587508, -0.05724829224362091, -0.3290840947602907, 0.057355080033947445, -0.12489429557842485, -0.12000033683195878, -0.07321621730839939, -0.01952180910065477, 0.04436007789807039, -0.2484534012907174, 0.07298179267999831, 0.05970218592046059, 0.08367336308060402, -0.06624422091310529, -0.09129116074129771, -0.06260552306743233, 0.10881179847409216, 0.07427925724285038, 0.0609293337231188, 0.21865222068618606, -0.12618717063071855, -0.1765440944372938, 0.3494004625146895, -0.06496007850765136, -0.17234414979145768, 0.1232753167441638, -0.14015672297290202, -0.023587360988590825, 0.10498163593786486, 0.12046241263199724, 0.05315332539023811, -0.10891074608204353, 0.06851119785491126, 0.10485877170949505, 0.13989896916658776, 0.04647590786093072, 0.059574849364672146, 0.2755068110699734, 0.14198160738673773, 0.06343307350291295, 0.1506373827970911, -0.11905514326448856, -0.06412180178285984, -0.20644073617341144, -0.15994082561830122, -0.21315380907486706, 0.09689632634726468, -0.09423968084960956, -0.10298961403601792, 0.4637701018723879, 0.17312048509026343, 0.18270914035776023, -0.0991321932642166, 0.2660803467119008, 0.1741901593324676, 0.08742994135716574, -0.025431469763011746, 0.33843372799874694, 0.1745559184843402, 0.06496692065337903, -0.3294560402589902, 0.0833591423102058, -0.03433891918426484] |
711.3379 | On scale symmetry breaking and confinement in D=3 models | Within the framework of the gauge-invariant, but path-dependent, variables
formalism, we study the connection between scale symmetry breaking and
confinement in three-dimensional gluodynamics. We explicitly show that the
static potential profile contains a linear potential, leading to the
confinement of static charges. Also, we establish a new type of equivalence
among different three-dimensional effective theories.
| hep-th | within the framework of the gaugeinvariant but pathdependent variables formalism we study the connection between scale symmetry breaking and confinement in threedimensional gluodynamics we explicitly show that the static potential profile contains a linear potential leading to the confinement of static charges also we establish a new type of equivalence among different threedimensional effective theories | [['within', 'the', 'framework', 'of', 'the', 'gaugeinvariant', 'but', 'pathdependent', 'variables', 'formalism', 'we', 'study', 'the', 'connection', 'between', 'scale', 'symmetry', 'breaking', 'and', 'confinement', 'in', 'threedimensional', 'gluodynamics', 'we', 'explicitly', 'show', 'that', 'the', 'static', 'potential', 'profile', 'contains', 'a', 'linear', 'potential', 'leading', 'to', 'the', 'confinement', 'of', 'static', 'charges', 'also', 'we', 'establish', 'a', 'new', 'type', 'of', 'equivalence', 'among', 'different', 'threedimensional', 'effective', 'theories']] | [-0.16377248242074116, 0.13745057711864567, -0.10241106596182693, 0.1125612887469205, -0.08113899789750575, -0.12752057168717412, 0.03292570943859491, 0.36353904676030985, -0.2313981713896448, -0.2858890262517062, 0.014121500409038907, -0.2337502491406419, -0.20271530760960146, 0.05728395242582668, 0.011359925546937369, 0.008270976387641647, -0.06512733755463904, 0.016542730480432512, -0.14743320707612756, -0.1708007115870714, 0.35580549111420456, -0.025470406833020123, 0.3108899559148333, 0.11399568709629503, 0.09923271536827087, 0.03287669693077491, -0.01252336875450882, 0.08756800875575706, -0.1320858577823277, 0.09431675883560357, 0.15293444072489035, 0.03745507194914601, 0.19698462478647177, -0.43456940779631786, -0.22783281127498908, 0.07762323428284038, 0.11303678579120473, 0.16642871341583404, -0.07858140514316884, -0.27010581366379155, 0.050857172696851194, -0.2001514507965608, -0.19322170268066904, -0.13875843378799882, 0.048860988190228286, -0.021453751729462633, -0.2684416353702545, 0.1266959778848104, 0.024478200340474193, 0.05410662030970508, -0.11544774340211668, -0.016514535519209776, -0.04296577440744097, 0.12077208023348993, 0.09846769496798516, 0.00384387708988718, 0.08466059792659839, -0.1526175248219674, -0.11635918578408151, 0.395730669263073, -0.065526282296262, -0.2286511118439111, 0.18502211258640852, -0.1409222759814425, -0.15355404918082058, 0.057565833602777935, 0.18282664343714713, 0.15749299570134925, -0.1926025546917861, 0.1562437966116704, -0.03786661672321233, 0.13056587524373423, 0.047255334346978504, 0.04650880105116151, 0.2371570807204328, 0.13128613973544404, 0.044663331606848676, 0.16458254205909642, -0.013227622956037521, -0.181987015157938, -0.4196554731238972, -0.13793990717815838, -0.09657994689081204, 0.03476379956118762, -0.1406176703302084, -0.18132868921384215, 0.4282395914196968, 0.17233603766018693, 0.14243583100085908, 0.03728219022635709, 0.21967714553360235, 0.10345320824787697, 0.10216871151192622, 0.053392360562627965, 0.2536062320778993, 0.1671078300442208, 0.0762317004698244, -0.2566223400898955, -0.07748600726269862, 0.12750827423720199] |
711.338 | Generalized test ideals, sharp F-purity, and sharp test elements | Consider a pair $(R, \ba^t)$ where $R$ is a ring of positive characteristic,
$\ba$ is an ideal such that $a \cap $R^{\circ} \neq \emptyset$, and $t > 0$ is
a real number. In this situation we have the ideal $\tau_R(\ba^t)$, the
generalized test ideal associated to $(R, a^t)$ as defined by Hara and Yoshida.
We show that $\tau_R(a^t) \cap R^{\circ}$ is made up of appropriately defined
generalized test elements which we call \emph{sharp test elements}. We also
define a variant of $F$-purity for pairs, \emph{sharp $F$-purity}, which
interacts well with sharp test elements and agrees with previously defined
notions of $F$-purity in many common situations. We show that if $(R, \ba^t)$
is sharply F-pure, then $\tau_R(\ba^t)$ is a radical ideal. Furthermore, by
following an argument of Vassilev, we show that if $R$ is a quotient of an
$F$-finite regular local ring and $(R, \ba^t)$ is sharply $F$-pure, then
$R/{\tau_R(\ba^t)}$ itself is $F$-pure. We conclude by showing that sharp
$F$-purity can be used to define the $F$-pure threshold. As an application we
show that the $F$-pure threshold must be a rational number under certain
hypotheses.
| math.AC math.AG | consider a pair r bat where r is a ring of positive characteristic ba is an ideal such that a cap rcirc neq emptyset and t 0 is a real number in this situation we have the ideal tau_rbat the generalized test ideal associated to r at as defined by hara and yoshida we show that tau_rat cap rcirc is made up of appropriately defined generalized test elements which we call emphsharp test elements we also define a variant of fpurity for pairs emphsharp fpurity which interacts well with sharp test elements and agrees with previously defined notions of fpurity in many common situations we show that if r bat is sharply fpure then tau_rbat is a radical ideal furthermore by following an argument of vassilev we show that if r is a quotient of an ffinite regular local ring and r bat is sharply fpure then rtau_rbat itself is fpure we conclude by showing that sharp fpurity can be used to define the fpure threshold as an application we show that the fpure threshold must be a rational number under certain hypotheses | [['consider', 'a', 'pair', 'r', 'bat', 'where', 'r', 'is', 'a', 'ring', 'of', 'positive', 'characteristic', 'ba', 'is', 'an', 'ideal', 'such', 'that', 'a', 'cap', 'rcirc', 'neq', 'emptyset', 'and', 't', '0', 'is', 'a', 'real', 'number', 'in', 'this', 'situation', 'we', 'have', 'the', 'ideal', 'tau_rbat', 'the', 'generalized', 'test', 'ideal', 'associated', 'to', 'r', 'at', 'as', 'defined', 'by', 'hara', 'and', 'yoshida', 'we', 'show', 'that', 'tau_rat', 'cap', 'rcirc', 'is', 'made', 'up', 'of', 'appropriately', 'defined', 'generalized', 'test', 'elements', 'which', 'we', 'call', 'emphsharp', 'test', 'elements', 'we', 'also', 'define', 'a', 'variant', 'of', 'fpurity', 'for', 'pairs', 'emphsharp', 'fpurity', 'which', 'interacts', 'well', 'with', 'sharp', 'test', 'elements', 'and', 'agrees', 'with', 'previously', 'defined', 'notions', 'of', 'fpurity', 'in', 'many', 'common', 'situations', 'we', 'show', 'that', 'if', 'r', 'bat', 'is', 'sharply', 'fpure', 'then', 'tau_rbat', 'is', 'a', 'radical', 'ideal', 'furthermore', 'by', 'following', 'an', 'argument', 'of', 'vassilev', 'we', 'show', 'that', 'if', 'r', 'is', 'a', 'quotient', 'of', 'an', 'ffinite', 'regular', 'local', 'ring', 'and', 'r', 'bat', 'is', 'sharply', 'fpure', 'then', 'rtau_rbat', 'itself', 'is', 'fpure', 'we', 'conclude', 'by', 'showing', 'that', 'sharp', 'fpurity', 'can', 'be', 'used', 'to', 'define', 'the', 'fpure', 'threshold', 'as', 'an', 'application', 'we', 'show', 'that', 'the', 'fpure', 'threshold', 'must', 'be', 'a', 'rational', 'number', 'under', 'certain', 'hypotheses']] | [-0.15683298629536893, 0.07807599390270292, -0.0931090605002958, 0.07912267822064667, -0.038899179038139026, -0.20133604147788867, -0.01092043356688995, 0.3753041904315602, -0.3225014875720999, -0.171217538910663, 0.0552634187602027, -0.2734092880123654, -0.15988447217468443, 0.19960496661008736, -0.12056127175241292, -0.04592523515203645, 0.010075465989345944, 0.10177858766394683, -0.049815609217712435, -0.2945197446898729, 0.33792429514666344, 0.025413275752268608, 0.19730496806139386, 0.05077884827354174, 0.05605048406348881, 0.0016016470393238787, 0.04277266782068507, 0.08342516920711408, -0.1975513186042201, 0.030899218762262242, 0.2547761652977648, 0.1660296690218442, 0.25565688950191745, -0.31961613265776684, -0.09229308172056254, 0.18199598225738917, 0.12351726543147887, -0.018551274313976438, -0.017437411801286, -0.20733046601916658, 0.190202218250179, -0.20558583425805388, -0.16188478953720137, -0.04106038000288955, 0.09572555809463869, 0.09091436664714327, -0.35745519190485586, -0.0049183397807828644, 0.12269164040468779, 0.10530126209802634, -0.002844121536063082, -0.07484351929963967, -0.00832220199179716, 0.0006636982762863517, -0.034051065566668585, 0.05455162328103422, 0.12395830949841265, -0.07854551905063735, -0.08919669976509982, 0.3356092895885836, -0.08236425328874887, -0.15912103941065764, 0.1533592647623125, -0.1458050282385887, -0.10581648888784415, 0.0792766889328314, 0.026368016138082297, 0.14333188453137707, -0.03933565610468221, 0.16124263235737568, -0.17353240683071275, 0.1356325623040821, 0.09436208353632822, -0.01619135238120967, 0.14856995483886387, 0.0843502310827874, 0.09553216790062422, 0.15274331229478746, -0.06855788817089416, 0.0411480060639055, -0.36901293798511087, -0.20426123777883096, -0.17541842643488928, 0.13506397711732243, -0.05550768296624529, -0.14805754751757869, 0.346568044233422, 0.09760202172566101, 0.23911779445034123, 0.08006985652697528, 0.22792605390543294, 0.08651258695451802, 0.011712537599758729, 0.10512578635419298, 0.16701330768735298, 0.09531726980940881, -0.038102583595494316, -0.13735754800148767, 0.030666831612857527, 0.11347883284955634] |
711.3381 | Polarized Emission Lines from Single InGaN/GaN Quantum Dots: Role of the
Valence-band Structure of Wurtzite Group-III Nitrides | We present a study of the polarization properties of emission lines from
single InGaN/GaN quantum dots (QDs). The QDs, formed by spinodal decomposition
within ultra-thin InGaN quantum wells, are investigated using single-QD
cathodoluminescence (CL). The emission lines exhibit a systematic linear
polarization in the orthogonal crystal directions [1 1 -2 0] and [-1 1 0 0]--a
symmetry that is non-native to hexagonal crystals.
Eight-band k.p calculations reveal a mechanism that can explain the observed
polarizations: The character of the hole(s) in an excitonic complex determines
the polarization direction of the respective emission if the QD is slightly
elongated. Transitions involving A-band holes are polarized parallel to the
elongation; transitions involving B-type holes are polarized in the orthogonal
direction. The energetic separation of both hole states is smaller than 10 meV.
The mechanism leading to the linear polarizations is not restricted to InGaN
QDs, but should occur in other wurtzite-nitride QDs and in materials with
similar valence band structure.
| cond-mat.mtrl-sci | we present a study of the polarization properties of emission lines from single ingangan quantum dots qds the qds formed by spinodal decomposition within ultrathin ingan quantum wells are investigated using singleqd cathodoluminescence cl the emission lines exhibit a systematic linear polarization in the orthogonal crystal directions 1 1 2 0 and 1 1 0 0a symmetry that is nonnative to hexagonal crystals eightband kp calculations reveal a mechanism that can explain the observed polarizations the character of the holes in an excitonic complex determines the polarization direction of the respective emission if the qd is slightly elongated transitions involving aband holes are polarized parallel to the elongation transitions involving btype holes are polarized in the orthogonal direction the energetic separation of both hole states is smaller than 10 mev the mechanism leading to the linear polarizations is not restricted to ingan qds but should occur in other wurtzitenitride qds and in materials with similar valence band structure | [['we', 'present', 'a', 'study', 'of', 'the', 'polarization', 'properties', 'of', 'emission', 'lines', 'from', 'single', 'ingangan', 'quantum', 'dots', 'qds', 'the', 'qds', 'formed', 'by', 'spinodal', 'decomposition', 'within', 'ultrathin', 'ingan', 'quantum', 'wells', 'are', 'investigated', 'using', 'singleqd', 'cathodoluminescence', 'cl', 'the', 'emission', 'lines', 'exhibit', 'a', 'systematic', 'linear', 'polarization', 'in', 'the', 'orthogonal', 'crystal', 'directions', '1', '1', '2', '0', 'and', '1', '1', '0', '0a', 'symmetry', 'that', 'is', 'nonnative', 'to', 'hexagonal', 'crystals', 'eightband', 'kp', 'calculations', 'reveal', 'a', 'mechanism', 'that', 'can', 'explain', 'the', 'observed', 'polarizations', 'the', 'character', 'of', 'the', 'holes', 'in', 'an', 'excitonic', 'complex', 'determines', 'the', 'polarization', 'direction', 'of', 'the', 'respective', 'emission', 'if', 'the', 'qd', 'is', 'slightly', 'elongated', 'transitions', 'involving', 'aband', 'holes', 'are', 'polarized', 'parallel', 'to', 'the', 'elongation', 'transitions', 'involving', 'btype', 'holes', 'are', 'polarized', 'in', 'the', 'orthogonal', 'direction', 'the', 'energetic', 'separation', 'of', 'both', 'hole', 'states', 'is', 'smaller', 'than', '10', 'mev', 'the', 'mechanism', 'leading', 'to', 'the', 'linear', 'polarizations', 'is', 'not', 'restricted', 'to', 'ingan', 'qds', 'but', 'should', 'occur', 'in', 'other', 'wurtzitenitride', 'qds', 'and', 'in', 'materials', 'with', 'similar', 'valence', 'band', 'structure']] | [-0.15775253728052874, 0.2030495387142573, -0.008662500506219495, 0.04808243971531558, 0.004629049581218997, -0.19389211380806792, 0.0193569192078534, 0.4809549797658518, -0.2535440682842853, -0.25465664790741577, -0.022330366215182196, -0.3242521554770713, -0.060269443293778334, 0.14821478798777862, 0.06652863201341194, -0.028375380817848215, -0.00529780496315212, -0.1029505742058324, -0.06711979708886427, -0.1501730904288521, 0.27381939196271027, 0.025342034738048153, 0.290045729630692, 0.04397013901501514, 0.006989187943959715, -0.031088122056951377, 0.1126115509044901, -0.02474413379125155, -0.1228163056970006, 0.0900698866124953, 0.2383359625704207, -0.01740522508562845, 0.1502384966325347, -0.4209814896676571, -0.1801619783309318, 0.023497176816342932, 0.17290981008024636, 0.13590047241983472, -0.05691673536191748, -0.26137394555933346, 0.08969144964483892, -0.06354565569644521, -0.12002462684325162, 0.008317098092691154, -0.0013001833443239237, -0.004032910343223981, -0.212203292302553, 0.09071069206615352, 0.07276710892277087, 0.041354589992835686, -0.05496594690492341, -0.1557710097174332, -0.09944606322356185, 0.03536525783336656, 0.012944666378105141, 0.032835710240575446, 0.19840108364550574, -0.06412063500321927, -0.1747456350939194, 0.4082279190017729, -0.033259914977832664, -0.110811392821158, 0.10955473306072745, -0.24696861434383852, -0.10079139591473493, 0.20831741981955756, 0.11862927456912851, 0.14652724308962786, -0.0789992723252126, 0.09183159865258013, 0.015159139759648757, 0.2053845761296381, 0.10425595969227172, 0.09573945010104662, 0.2728019827171555, 0.10747323630104778, 0.0034749832739875575, 0.1317372959841986, -0.1505676293745637, -0.07671816251982169, -0.218748124802758, -0.16957772464512189, -0.1713377292279842, 0.12443577338784569, -0.08846562711954277, -0.16189923109249418, 0.4105651313676291, 0.04311473364496877, 0.17237231880129808, -0.04933861787964821, 0.22424448539046804, 0.09962852007952655, 0.07825705186600328, 0.023368871954690878, 0.3090523293562186, 0.1986329206962518, 0.06943704529552702, -0.23962555644636274, 0.028326063562232027, -0.040516321482077525] |
711.3382 | The role of bulk energy in nuclear multifragmentation | Because of thermal expansion and residual interactions, hot nuclear fragments
produced in multifragmentation reactions may have lower nucleon density than
the equilibrium density of cold nuclei. In terms of liquid-drop model this
effect can be taken into account by reducing the bulk energy of fragments. We
study the influence of this change on fragment yields and isotope distributions
within the framework of the statistical multifragmentation model. Similarities
and differences with previously discussed modifications of symmetry and surface
energies of nuclei are analyzed.
| nucl-th | because of thermal expansion and residual interactions hot nuclear fragments produced in multifragmentation reactions may have lower nucleon density than the equilibrium density of cold nuclei in terms of liquiddrop model this effect can be taken into account by reducing the bulk energy of fragments we study the influence of this change on fragment yields and isotope distributions within the framework of the statistical multifragmentation model similarities and differences with previously discussed modifications of symmetry and surface energies of nuclei are analyzed | [['because', 'of', 'thermal', 'expansion', 'and', 'residual', 'interactions', 'hot', 'nuclear', 'fragments', 'produced', 'in', 'multifragmentation', 'reactions', 'may', 'have', 'lower', 'nucleon', 'density', 'than', 'the', 'equilibrium', 'density', 'of', 'cold', 'nuclei', 'in', 'terms', 'of', 'liquiddrop', 'model', 'this', 'effect', 'can', 'be', 'taken', 'into', 'account', 'by', 'reducing', 'the', 'bulk', 'energy', 'of', 'fragments', 'we', 'study', 'the', 'influence', 'of', 'this', 'change', 'on', 'fragment', 'yields', 'and', 'isotope', 'distributions', 'within', 'the', 'framework', 'of', 'the', 'statistical', 'multifragmentation', 'model', 'similarities', 'and', 'differences', 'with', 'previously', 'discussed', 'modifications', 'of', 'symmetry', 'and', 'surface', 'energies', 'of', 'nuclei', 'are', 'analyzed']] | [-0.023155671425118315, 0.20993934800030617, -0.16477625413652985, 0.1471309033989134, 0.04784617849012337, -0.03747415756693155, 0.02191094733865523, 0.33637634855581494, -0.22219477275318308, -0.33778214593213507, -0.033029333963740345, -0.3062512126478662, 0.02098288923990345, 0.0857330315076269, 0.04044835949486985, -0.006128311679675811, 0.045685974117254884, 0.013016257117070803, -0.08366209221010028, -0.15818853487783088, 0.3174261644925559, 0.14097101938706347, 0.23292471325342975, 0.1345120431548666, 0.02869365399379692, -0.00954706439032878, -0.012863396422755791, 0.04714343685475064, -0.12094324331435306, 0.10891583134851805, 0.22342100741750584, 0.07146085309796035, 0.18693855073780002, -0.486805911834647, -0.2718862605894484, 0.12208608423200686, 0.14165355354297635, 0.13107549149270464, -0.07081149343157006, -0.26116030815159674, 0.030139326500896613, -0.2468028268791031, -0.09856085604760886, -0.07981152260085432, 0.023539744317531586, 0.07730274843676697, -0.19156642619338704, 0.14988334394037361, 0.06314938890580202, 0.0630890920548132, -0.13596879418871208, -0.22895121942387847, -0.051245331889154706, 0.05873054178522491, 0.1025178352933059, -0.0297226248956399, 0.23144111866216607, -0.11410118967135686, -0.028670004126047942, 0.4368050651079634, -0.01142379214292216, -0.12101058164475167, 0.13008940953579617, -0.17455340827042917, -0.15288325880154421, 0.1985648010925549, 0.2045706574671629, 0.08875787941875254, -0.17483364640757804, 0.04599239965957567, 0.0007058483997087289, 0.16276266611828583, 0.07137357793668876, 0.06523209705767108, 0.2136951162388957, 0.20088714136310468, -0.07172120007879396, 0.142598175169707, -0.11862483662382768, -0.16567146772427893, -0.2918377921848399, -0.10373076813568066, -0.1064194218687168, -0.023108297574231627, -0.0567383593304662, -0.08757049159896446, 0.3828585956404667, 0.07861884352154802, 0.20882693628167234, -0.030129089883369643, 0.2678347206333788, 0.1076740907936743, 0.08139034538996895, 0.05030210565764275, 0.2774312826691241, 0.17868709056808546, 0.01102217374846521, -0.2970025174194811, 0.13511560556603733, 0.03429880995791769] |
711.3383 | Solution of the Pompeiu problem (I) | This paper has been withdrawn by the author due to some errors.
| math.AP math.DG | this paper has been withdrawn by the author due to some errors | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'some', 'errors']] | [-0.10597492257754008, -0.00623621364745001, -0.10908255726099014, -0.03568089152880324, -0.16363125604887804, -0.061043415839473404, 0.0001683659793343395, 0.3361576596895854, -0.2845642476653059, -0.3801515257606904, 0.18523677733416358, -0.316799260986348, -0.15823024961476526, 0.059162456542253494, -0.39453921653330326, 0.14340619184076786, 0.04696554100761811, -0.08074966600785653, -0.015219765870521465, -0.3979781080270186, 0.345374363164107, 0.17961298612256846, 0.20323861887057623, 0.23123401713867983, -0.0009349818186213573, -0.12108155793976039, -0.13383991263496378, 0.005932350642979145, -0.13771487710376581, 0.11579798627644777, 0.2322545312345028, -0.034136307367589325, 0.4900629123051961, -0.37669583906730014, -0.2555630213270585, 0.18838263551394144, 0.17931661320229372, 0.2353617592404286, -0.1104624941945076, -0.41403110263248283, 0.23174631098906198, -0.36031460234274465, -0.10246538328162084, -0.020933748145277303, 0.1323483674786985, -0.09667268480795126, -0.0647061587466548, 0.03321046995309492, 0.1943878773599863, 0.16945286467671394, 0.08579739897201459, -0.18609315964082876, 0.11365458322688937, 0.17387855149960765, 0.2806060773630937, 0.1502161268532897, -0.038269379176199436, -0.0009835191497889657, -0.07650089496746659, 0.38424305493632954, 0.11611121939495206, -0.24362307460978627, 0.06680864406128724, -0.04719236559079339, -0.17629071045666933, 0.17460746644064784, 0.1387807148663948, 0.023301892176580925, -0.29758932317296666, 0.2184643893657873, 0.006275562957550089, 0.14056085298458734, 0.22459657940392694, -0.03206747366736332, 0.07548110730325182, 0.07196920085698366, -0.014709084061905742, 0.18806801200844347, -0.030093044818689425, 0.03654476022347808, -0.1703454963862896, -0.14873871703942618, -0.23447164179136357, 0.03070745966397226, 0.25362384354230016, -0.06773131643421948, 0.4138972572982311, 0.24175104685127735, 0.17309086637881896, -0.05048693002512058, 0.33072604176898796, 0.1518945359372689, 0.06827876499543588, 0.0013763615861535072, 0.31961380691548885, 0.18473453511251137, 0.19658557899917165, -0.07187087244043748, 0.30027448448042077, 0.16133547170708576] |
711.3384 | Replica-symmetry breaking: discrete and continuous schemes in the
Sherrington-Kirkpatrick model | We study hierarchies of replica-symmetry-breaking solutions of the
Sherrington-Kirkpatrick model. Stationarity equations for order parameters of
solutions with an arbitrary number of hierarchies are set and the limit to
infinite number of hierarchical levels is discussed. In particular, we
demonstrate how the continuous replica-symmetry breaking scheme of Parisi
emerges and how the limit to infinite-many hierarchies leads to equations for
the order-parameter function of the continuous solution. The general analysis
is accompanied by an explicit asymptotic solution near the de Almeida-Thouless
instability line in the nonzero magnetic field.
| cond-mat.dis-nn cond-mat.stat-mech | we study hierarchies of replicasymmetrybreaking solutions of the sherringtonkirkpatrick model stationarity equations for order parameters of solutions with an arbitrary number of hierarchies are set and the limit to infinite number of hierarchical levels is discussed in particular we demonstrate how the continuous replicasymmetry breaking scheme of parisi emerges and how the limit to infinitemany hierarchies leads to equations for the orderparameter function of the continuous solution the general analysis is accompanied by an explicit asymptotic solution near the de almeidathouless instability line in the nonzero magnetic field | [['we', 'study', 'hierarchies', 'of', 'replicasymmetrybreaking', 'solutions', 'of', 'the', 'sherringtonkirkpatrick', 'model', 'stationarity', 'equations', 'for', 'order', 'parameters', 'of', 'solutions', 'with', 'an', 'arbitrary', 'number', 'of', 'hierarchies', 'are', 'set', 'and', 'the', 'limit', 'to', 'infinite', 'number', 'of', 'hierarchical', 'levels', 'is', 'discussed', 'in', 'particular', 'we', 'demonstrate', 'how', 'the', 'continuous', 'replicasymmetry', 'breaking', 'scheme', 'of', 'parisi', 'emerges', 'and', 'how', 'the', 'limit', 'to', 'infinitemany', 'hierarchies', 'leads', 'to', 'equations', 'for', 'the', 'orderparameter', 'function', 'of', 'the', 'continuous', 'solution', 'the', 'general', 'analysis', 'is', 'accompanied', 'by', 'an', 'explicit', 'asymptotic', 'solution', 'near', 'the', 'de', 'almeidathouless', 'instability', 'line', 'in', 'the', 'nonzero', 'magnetic', 'field']] | [-0.18598785635549575, 0.12204498953525961, -0.06490376756780526, 0.09427582181789065, -0.06234779699959538, -0.06324234612243758, 0.032206767827367665, 0.27582653546282515, -0.2404019122689285, -0.29841544751120225, 0.12193117129076696, -0.2608234328799881, -0.14500453900440002, 0.12406505963669835, 0.014810302273624322, 0.07592099886757998, -0.021372340233276853, 0.022159938679330728, -0.09368374823084609, -0.1944390504451638, 0.3494101442206143, 0.014683266297321428, 0.32550919047472154, 0.03656373220093718, 0.14101914628620513, -0.025894294551108032, 0.0535126603949307, 0.0023001322565092282, -0.16579160423399034, 0.052682252979138866, 0.21943846002051776, 0.09039184954864057, 0.22523276613686571, -0.4034327966669066, -0.1748947070128369, 0.1299005423312668, 0.1711326948504641, 0.1663609694223851, -0.008642947936261242, -0.28829289720372553, 0.08122556395722892, -0.16229537482649903, -0.22403638818385926, -0.11377631774468516, 0.0030960524309193715, 0.03762629871330732, -0.30362493626307696, 0.10685453414705327, 0.08195594240995971, 0.04520863472399386, -0.11172059614909813, -0.0640266698412068, -0.05436667160459117, 0.056908036344049666, 0.11185565383559813, -0.01309856897040101, 0.031591458870521325, -0.13468887129883197, -0.11079375606707552, 0.33566100926096126, -0.08882118916715792, -0.23133905763229864, 0.15544630104506557, -0.1303996245710137, -0.12629824727032843, 0.1446250559846786, 0.13195226130880078, 0.12815719274592333, -0.10001357687129216, 0.16701593258105937, -0.02470358901403167, 0.15075801366104066, 0.04986936827084388, -0.010114372413557827, 0.18206809637856416, 0.18191419449497268, 0.08079376334155147, 0.15230417882346295, -0.025882013988765804, -0.19102087362129663, -0.3380270314148881, -0.13351470006587493, -0.15322738392701882, 0.0233989364417291, -0.15223883286043102, -0.19514734687452967, 0.3993637630047818, 0.16984384584727444, 0.17761700152980417, 0.08183093728836287, 0.1825189503936351, 0.22018259243966234, -0.007631703824947842, 0.04822423992763189, 0.17422520292430735, 0.1536230786798776, 0.1140469544122673, -0.25924433376216754, 0.007613163626625796, 0.14190119024186226] |
711.3385 | Global Attractor in Competitive Lotka-Volterra Systems | For autonomous Lotka-Volterra systems of differential equations modelling the
dynamics of n competing species, new criteria are established for the existence
of a single point global attractor. Under the conditions of these criteria,
some of the species will survive and stabilise at a steady state whereas the
others, if any, will die out.
| math.DS math.CA | for autonomous lotkavolterra systems of differential equations modelling the dynamics of n competing species new criteria are established for the existence of a single point global attractor under the conditions of these criteria some of the species will survive and stabilise at a steady state whereas the others if any will die out | [['for', 'autonomous', 'lotkavolterra', 'systems', 'of', 'differential', 'equations', 'modelling', 'the', 'dynamics', 'of', 'n', 'competing', 'species', 'new', 'criteria', 'are', 'established', 'for', 'the', 'existence', 'of', 'a', 'single', 'point', 'global', 'attractor', 'under', 'the', 'conditions', 'of', 'these', 'criteria', 'some', 'of', 'the', 'species', 'will', 'survive', 'and', 'stabilise', 'at', 'a', 'steady', 'state', 'whereas', 'the', 'others', 'if', 'any', 'will', 'die', 'out']] | [-0.18527559342108807, 0.1259099814496091, -0.1149195118912689, 0.05731756069679868, 0.020716067390375823, -0.20685398880884331, 0.0538398960499831, 0.2519703724966297, -0.25762152736830823, -0.2236264328700754, 0.14447672742436518, -0.2734312017114376, -0.09016787489647714, 0.1649130810544176, -0.0038959881782812894, 0.020358849334407528, 0.10123242870113759, 0.04234317615013218, -0.02320517467791742, -0.28871509144170526, 0.3514097841843119, -0.0110979584871598, 0.24102480105071697, -0.01868129984304344, 0.12849016187115098, -0.07278579697540065, 0.0051835972183155565, 0.01243238967298618, -0.16950201137729412, 0.013318662619534528, 0.23105280285586938, 0.13302745692923945, 0.29362727870356364, -0.4372779576564735, -0.22266784730314645, 0.17553788404208873, 0.13385508321049921, 0.1450019744180916, 0.016554788053738622, -0.28789314796339793, 0.07664671896095827, -0.10632732696611574, -0.24581212703279168, -0.08583879205486122, 0.03618916851591389, 0.10695071721379205, -0.2800396870259406, 0.07297736447620785, 0.09376544827366916, 0.0617093442816217, -0.11935669622155574, -0.10223640483927052, -0.11736762026360012, 0.16146995588469337, -0.021266692858365067, -0.09813944015757374, 0.1175125465499905, -0.16965657460309988, -0.10048910030075964, 0.3530770303189473, -0.05274006878992297, -0.21876748831819673, 0.2907536653845729, -0.12122323986072585, -0.1699629496906023, 0.1442718693705381, 0.14294896117534558, 0.12280921435932506, -0.19598588702391903, 0.03215885529501082, -0.023074319340148062, 0.12020371053290975, 0.06355356700050663, 0.010165279713582318, 0.22065951439710157, 0.17364623130492443, 0.1470185164186471, 0.0602998087744949, -0.02512032791800832, -0.1559480270546562, -0.31547631943633536, -0.14597680699519533, -0.049066770892098266, 0.08121335954528372, -0.060274141480133624, -0.16043208887413987, 0.35363992156004004, 0.12413266833810101, 0.11758056035230183, 0.025063870618567925, 0.21270844509016792, 0.09165681431175403, 0.00036812620553218776, 0.03716200375753754, 0.25422738428625175, 0.08072923835068238, 0.1320165468221706, -0.23493022106166156, 0.09652405644257395, 0.07057523084277252] |
711.3386 | Converging to Gosper's Algorithm | Given two polynomials, we find a convergence property of the GCD of the
rising factorial and the falling factorial. Based on this property, we present
a unified approach to computing the universal denominators as given by Gosper's
algorithm and Abramov's algorithm for finding rational solutions to linear
difference equations with polynomial coefficients.
| math.CA math.CO | given two polynomials we find a convergence property of the gcd of the rising factorial and the falling factorial based on this property we present a unified approach to computing the universal denominators as given by gospers algorithm and abramovs algorithm for finding rational solutions to linear difference equations with polynomial coefficients | [['given', 'two', 'polynomials', 'we', 'find', 'a', 'convergence', 'property', 'of', 'the', 'gcd', 'of', 'the', 'rising', 'factorial', 'and', 'the', 'falling', 'factorial', 'based', 'on', 'this', 'property', 'we', 'present', 'a', 'unified', 'approach', 'to', 'computing', 'the', 'universal', 'denominators', 'as', 'given', 'by', 'gospers', 'algorithm', 'and', 'abramovs', 'algorithm', 'for', 'finding', 'rational', 'solutions', 'to', 'linear', 'difference', 'equations', 'with', 'polynomial', 'coefficients']] | [-0.13071002843431556, 0.015675256100411598, -0.13297992425325972, 0.05056447022406456, -0.10007194042778932, -0.13778758942722702, 0.04787788132223515, 0.314148522931366, -0.32314130291342735, -0.23099566063879487, 0.09124515991872893, -0.23576652065206033, -0.18754695606632873, 0.221569907063475, -0.040942776625832684, 0.14285602972197992, 0.009031956352723332, 0.012482173776683899, -0.13472323377545065, -0.315693871010668, 0.3056330600251945, -0.016253931680694222, 0.2175016543075729, 0.005585118734206145, 0.2055386683294693, -0.042467973606947526, -0.023691519629210234, 0.0060825289871830205, -0.1498744092666759, 0.15231397844707736, 0.24927643951601708, 0.16694446769542992, 0.2833645496374139, -0.3725605349486264, -0.05564739261395656, 0.16998559042202452, 0.17040936322882771, 0.06081449128508281, -0.08127860025762437, -0.18474514820039845, 0.11507626209221108, -0.17921029704694563, -0.1734382061807152, -0.08436333468685356, 0.029373868404386137, 0.09968687699606213, -0.3268264473344271, 0.06013617395924834, 0.09422382667589073, 0.08329801654550605, -0.014780367455946712, -0.13500902890406835, 0.07664757812968813, 0.0222579293902247, 0.026875752091515236, 0.019283719772759538, 0.037576497057811, -0.08981675815392429, -0.14001244197760782, 0.3539144668298272, -0.034574041353222965, -0.24261786364233837, 0.09532691956085798, -0.1375144425725851, -0.17674988292856142, 0.11862319258328241, 0.15674323042800936, 0.1305824201195859, -0.06743216836968294, 0.08890893787387401, -0.08997519541746722, 0.10607240362934625, 0.11294689126169452, -0.018316058468861647, 0.12707104184217036, 0.06140601337672426, 0.05265266013940653, 0.1783122428079458, 0.028419277008372143, -0.11661456607712004, -0.306240714692439, -0.1646552282349708, -0.18909269857865113, 0.012090890963848393, -0.14260732564266967, -0.24889695613931578, 0.40716514070160115, 0.08933123380232316, 0.1868863072752272, 0.20589422998734966, 0.2726523929203932, 0.18212041606043036, 0.01078044780744956, 0.0990471131562327, 0.1250706837655833, 0.1465727170400966, 0.04873418803505886, -0.20849354638574788, 0.06253874719214554, 0.22834920072301218] |
711.3387 | Enumeration of some classes of words avoiding two generalized patterns
of length three | The method we have applied in "A. Bernini, L. Ferrari, R. Pinzani,
Enumerating permutations avoiding three Babson-Steingrimsson patterns, Ann.
Comb. 9 (2005), 137--162" to count pattern avoiding permutations is adapted to
words. As an application, we enumerate several classes of words simultaneously
avoiding two generalized patterns of length 3.
| math.CO | the method we have applied in a bernini l ferrari r pinzani enumerating permutations avoiding three babsonsteingrimsson patterns ann comb 9 2005 137162 to count pattern avoiding permutations is adapted to words as an application we enumerate several classes of words simultaneously avoiding two generalized patterns of length 3 | [['the', 'method', 'we', 'have', 'applied', 'in', 'a', 'bernini', 'l', 'ferrari', 'r', 'pinzani', 'enumerating', 'permutations', 'avoiding', 'three', 'babsonsteingrimsson', 'patterns', 'ann', 'comb', '9', '2005', '137162', 'to', 'count', 'pattern', 'avoiding', 'permutations', 'is', 'adapted', 'to', 'words', 'as', 'an', 'application', 'we', 'enumerate', 'several', 'classes', 'of', 'words', 'simultaneously', 'avoiding', 'two', 'generalized', 'patterns', 'of', 'length', '3']] | [-0.16059236649585806, 0.14590716282311958, -0.023712659376147, 0.09124548245049284, -0.123639192553642, -0.13880468043498695, 0.09503042960600198, 0.39010493991815526, -0.3076645111508222, -0.33995154242881614, 0.06947425217114632, -0.2794002391924353, -0.12088592058938483, 0.18546979777444073, -0.12669746152570713, 0.05994076417435123, 0.005667711112081357, -0.035829629136613854, -0.03601933564261898, -0.31357975598961196, 0.20147680109063082, -0.003065310917167074, 0.24825267396543338, -0.08553072825246921, 0.05700000657942956, 0.04808085338394765, -0.13254358707016092, -0.018740232305034348, -0.1435733733334295, 0.06800827938739372, 0.29617730568608513, 0.19178840080681053, 0.20413790351670721, -0.3406781016687012, -0.15053480039046996, 0.20470106030773857, 0.17183640655939994, 0.14325176707833356, 0.035129770778281534, -0.22303311429593875, 0.12198496764556141, -0.1563586080851762, -0.1288661250854721, -0.03836365278972232, 0.10265303911317301, 0.048286471779093794, -0.269906321692321, -0.019407850852155167, 0.13733137296715184, 0.13108313525014598, 0.05943329425771599, -0.13764019832824884, 0.07376076232479967, 0.11660468391061801, -0.013441740297307462, 0.0049115950545377055, 0.02892705184690978, -0.024875783321002255, -0.23381754120244927, 0.32207654189804324, 0.010369376502121273, -0.22944137891349586, 0.15927881241330635, -0.025868577052555655, -0.17394531906946845, 0.12463203519987671, 0.08921294821345288, 0.10210584810651514, -0.10655791555409846, 0.07300952684043137, -0.1301381376814907, 0.140159759670496, 0.33944875378485606, -0.05668126775518707, 0.12457958437279677, 0.09456451529505379, 0.05015553523401689, 0.16565974054189966, -0.11119915852728098, -0.014152220976741417, -0.21107530513393652, -0.09386564304282807, -0.12873579620424172, -0.014503353252581766, -0.1092779626664908, -0.1748863109184996, 0.4576509109009867, 0.14794634958810132, 0.215055766687526, 0.08768012151931939, 0.14233783017034116, -0.0041284097140938366, 0.09955507889216002, 0.06367133423159628, -0.015435540036338827, 0.15726095190241365, 0.03337718121221532, -0.18243067109268968, -0.006302763323259094, 0.1906572588638443] |
711.3388 | Inverse Conjecture for the Gowers norm is false | Let $p$ be a fixed prime number, and $N$ be a large integer. The 'Inverse
Conjecture for the Gowers norm' states that if the "$d$-th Gowers norm" of a
function $f:\F_p^N \to \F_p$ is non-negligible, that is larger than a constant
independent of $N$, then $f$ can be non-trivially approximated by a degree
$d-1$ polynomial. The conjecture is known to hold for $d=2,3$ and for any prime
$p$. In this paper we show the conjecture to be false for $p=2$ and for $d =
4$, by presenting an explicit function whose 4-th Gowers norm is
non-negligible, but whose correlation any polynomial of degree 3 is
exponentially small.
Essentially the same result (with different correlation bounds) was
independently obtained by Green and Tao \cite{gt07}. Their analysis uses a
modification of a Ramsey-type argument of Alon and Beigel \cite{ab} to show
inapproximability of certain functions by low-degree polynomials. We observe
that a combination of our results with the argument of Alon and Beigel implies
the inverse conjecture to be false for any prime $p$, for $d = p^2$.
| math.CO | let p be a fixed prime number and n be a large integer the inverse conjecture for the gowers norm states that if the dth gowers norm of a function ff_pn to f_p is nonnegligible that is larger than a constant independent of n then f can be nontrivially approximated by a degree d1 polynomial the conjecture is known to hold for d23 and for any prime p in this paper we show the conjecture to be false for p2 and for d 4 by presenting an explicit function whose 4th gowers norm is nonnegligible but whose correlation any polynomial of degree 3 is exponentially small essentially the same result with different correlation bounds was independently obtained by green and tao citegt07 their analysis uses a modification of a ramseytype argument of alon and beigel citeab to show inapproximability of certain functions by lowdegree polynomials we observe that a combination of our results with the argument of alon and beigel implies the inverse conjecture to be false for any prime p for d p2 | [['let', 'p', 'be', 'a', 'fixed', 'prime', 'number', 'and', 'n', 'be', 'a', 'large', 'integer', 'the', 'inverse', 'conjecture', 'for', 'the', 'gowers', 'norm', 'states', 'that', 'if', 'the', 'dth', 'gowers', 'norm', 'of', 'a', 'function', 'ff_pn', 'to', 'f_p', 'is', 'nonnegligible', 'that', 'is', 'larger', 'than', 'a', 'constant', 'independent', 'of', 'n', 'then', 'f', 'can', 'be', 'nontrivially', 'approximated', 'by', 'a', 'degree', 'd1', 'polynomial', 'the', 'conjecture', 'is', 'known', 'to', 'hold', 'for', 'd23', 'and', 'for', 'any', 'prime', 'p', 'in', 'this', 'paper', 'we', 'show', 'the', 'conjecture', 'to', 'be', 'false', 'for', 'p2', 'and', 'for', 'd', '4', 'by', 'presenting', 'an', 'explicit', 'function', 'whose', '4th', 'gowers', 'norm', 'is', 'nonnegligible', 'but', 'whose', 'correlation', 'any', 'polynomial', 'of', 'degree', '3', 'is', 'exponentially', 'small', 'essentially', 'the', 'same', 'result', 'with', 'different', 'correlation', 'bounds', 'was', 'independently', 'obtained', 'by', 'green', 'and', 'tao', 'citegt07', 'their', 'analysis', 'uses', 'a', 'modification', 'of', 'a', 'ramseytype', 'argument', 'of', 'alon', 'and', 'beigel', 'citeab', 'to', 'show', 'inapproximability', 'of', 'certain', 'functions', 'by', 'lowdegree', 'polynomials', 'we', 'observe', 'that', 'a', 'combination', 'of', 'our', 'results', 'with', 'the', 'argument', 'of', 'alon', 'and', 'beigel', 'implies', 'the', 'inverse', 'conjecture', 'to', 'be', 'false', 'for', 'any', 'prime', 'p', 'for', 'd', 'p2']] | [-0.1666163227424096, 0.13924304886558972, -0.10308049811875356, 0.07027457005799163, -0.03502675931261809, -0.19489751735074057, 0.024618346315164248, 0.27671586136810133, -0.29312024869263, -0.3056362320419921, 0.08679122157966133, -0.24443617825623776, -0.12322186693538327, 0.19476287173740783, -0.07977381071920485, 0.03463966378246348, 0.02096668024531154, 0.03818686040616486, -0.037953903774059446, -0.35173272399968186, 0.31795290625941136, 0.005614244425127846, 0.15303554700966382, 0.10943534261503712, 0.04295159704701672, 0.02620200313855136, 0.0014068785009819062, 0.006625609366808, -0.11220547526483092, 0.11620175084850458, 0.2498976515381337, 0.14166840012512694, 0.3095887476675819, -0.3284939548412208, -0.1368837376655794, 0.21304156425812412, 0.13407464507496158, 0.05534148982964283, -0.024594105292804713, -0.22708040784481306, 0.18489018695829654, -0.10610508442153142, -0.19145564529178447, -0.056242494746436215, 0.13426717032331886, 0.043235153644778875, -0.37896853639895833, 0.05964438301554426, 0.14322692453103184, 0.08241955011130073, -0.016148808034580894, -0.18493973526854587, 0.030922220336262483, 0.054038226062995055, 0.0172221185138644, 0.12527928386576648, 0.011872911828483433, -0.06357117490721108, -0.12601075297002248, 0.3054163557325685, -0.07852836510311706, -0.20069075624870006, 0.08452781291880244, -0.1980700193536143, -0.14161475774626311, 0.1319527085965261, 0.0990080397554435, 0.15217735681704483, -0.017180638688313234, 0.16446728539060215, -0.14144601017442468, 0.17643179476591433, 0.16374323312409741, -0.002162018425351139, 0.0704679316394356, 0.04027213062820306, 0.11315470125030748, 0.13540625766388054, 0.006354653022013778, 0.03889211033048585, -0.31486123981127556, -0.1525763686689505, -0.27010851662042873, 0.13644095384556432, -0.1515918194235446, -0.12438794424240261, 0.32445757655524327, 0.03797128350408965, 0.19000383608887883, 0.16530810951710093, 0.21133827812818073, 0.13045187492456914, 0.057290502856377254, 0.08929969647596049, 0.17026281256098733, 0.16673649362082657, -0.021282351422827517, -0.17287079117201312, 0.07066644478703005, 0.15335353548086228] |
711.3389 | Moduli Stabilisation versus Chirality for MSSM like Type IIB
Orientifolds | We investigate the general question of implementing a chiral MSSM like
D-brane sector in Type IIB orientifold models with complete moduli
stabilisation via F-terms induced by fluxes and space-time instantons,
respectively gaugino condensates. The prototype examples are the KKLT and the
so-called large volume compactifications. We show that the ansatz of first
stabilising all moduli via F-terms and then introducing the Standard Model
module is misleading, as a chiral sector notoriously influences the structure
of non-perturbative effects and induces a D-term potential. Focusing for
concreteness on the large volume scenario, we work out the geometry of the
swiss-cheese type Calabi-Yau manifold P_[1,3,3,3,5][15]_(3,75) and analyse
whether controllable and phenomenologically acceptable Kaehler moduli
stabilisation can occur by the combination of F- and D-terms.
| hep-th hep-ph | we investigate the general question of implementing a chiral mssm like dbrane sector in type iib orientifold models with complete moduli stabilisation via fterms induced by fluxes and spacetime instantons respectively gaugino condensates the prototype examples are the kklt and the socalled large volume compactifications we show that the ansatz of first stabilising all moduli via fterms and then introducing the standard model module is misleading as a chiral sector notoriously influences the structure of nonperturbative effects and induces a dterm potential focusing for concreteness on the large volume scenario we work out the geometry of the swisscheese type calabiyau manifold p_1333515_375 and analyse whether controllable and phenomenologically acceptable kaehler moduli stabilisation can occur by the combination of f and dterms | [['we', 'investigate', 'the', 'general', 'question', 'of', 'implementing', 'a', 'chiral', 'mssm', 'like', 'dbrane', 'sector', 'in', 'type', 'iib', 'orientifold', 'models', 'with', 'complete', 'moduli', 'stabilisation', 'via', 'fterms', 'induced', 'by', 'fluxes', 'and', 'spacetime', 'instantons', 'respectively', 'gaugino', 'condensates', 'the', 'prototype', 'examples', 'are', 'the', 'kklt', 'and', 'the', 'socalled', 'large', 'volume', 'compactifications', 'we', 'show', 'that', 'the', 'ansatz', 'of', 'first', 'stabilising', 'all', 'moduli', 'via', 'fterms', 'and', 'then', 'introducing', 'the', 'standard', 'model', 'module', 'is', 'misleading', 'as', 'a', 'chiral', 'sector', 'notoriously', 'influences', 'the', 'structure', 'of', 'nonperturbative', 'effects', 'and', 'induces', 'a', 'dterm', 'potential', 'focusing', 'for', 'concreteness', 'on', 'the', 'large', 'volume', 'scenario', 'we', 'work', 'out', 'the', 'geometry', 'of', 'the', 'swisscheese', 'type', 'calabiyau', 'manifold', 'p_1333515_375', 'and', 'analyse', 'whether', 'controllable', 'and', 'phenomenologically', 'acceptable', 'kaehler', 'moduli', 'stabilisation', 'can', 'occur', 'by', 'the', 'combination', 'of', 'f', 'and', 'dterms']] | [-0.18047702984234396, 0.1837206438416615, -0.024215716891922055, 0.1651972422580002, -0.13224165479574973, -0.1658419939650533, 0.020080705898969122, 0.30691121298975, -0.19686121063229317, -0.24932357104650388, 0.11686041507928166, -0.2034976353519596, -0.19024912173335906, 0.11061081021131637, -0.09549247986481836, -0.017797119577880948, -0.0032634339081899573, -0.059234575931138046, -0.06061909214477055, -0.29230646090387985, 0.4271878116065636, 0.01180020219956835, 0.2692639724642504, 0.09988577533125256, 0.11221050153641651, -0.05596916953509208, -0.012302376781978335, 0.0022557231830433013, -0.1340454686646505, 0.0962286546244286, 0.18189312716461548, 0.038154269211615126, 0.08319406127363133, -0.4471791945708295, -0.21645510563927625, 0.19626396609625468, 0.12625508949082967, 0.16261747468197427, -0.022778697867761367, -0.2880755219104079, 0.06540083599587282, -0.18694001490754697, -0.15468749861077716, -0.15632193108322098, -0.022445020760642365, -0.08679098045298209, -0.24277020872735497, 0.041878410560699804, -0.02244588960505401, 0.03264569046441466, -0.04004444191426349, -0.07189617680463319, -0.12746219456312247, 0.01965723738539964, 0.1271962487420145, 0.015206610543342929, 0.14658610882470385, -0.20557219832359502, -0.10301981279626489, 0.39579621857653063, -0.09421262104103031, -0.20791646788517634, 0.0994041475292761, -0.06385079645551742, -0.13295807339018212, 0.078248952406769, 0.12748228483639348, 0.17075913654989563, -0.0910700521824765, 0.2539290699918638, 0.0006363390595652163, 0.1150012885472582, 0.08632228065592547, 0.02711493947475295, 0.25776711872507196, 0.1736602056461076, 0.012375173314164082, 0.11829574857353388, -0.030408288247417658, -0.11318975071577976, -0.45265616389612356, -0.09185569862214228, -0.05249495433430032, 0.12822302487523604, -0.13936753319103445, -0.17888799390057103, 0.386368847048531, 0.0645144718970793, 0.21332539219244306, 0.010919997204716007, 0.2323607753108566, -0.003322670993899616, 0.06515025437887137, -0.014086498420025843, 0.24696738353619974, 0.11641985478539331, 0.055569640962251775, -0.2520460810163058, -0.10499420963072528, 0.18349201987342287] |
711.339 | A class of inequalities inducing new separability criteria for bipartite
quantum systems | Inspired by the realignment or computable cross norm criterion, we present a
new result about the characterization of quantum entanglement. Precisely, an
interesting class of inequalities satisfied by all separable states of a
bipartite quantum system is derived. These inequalities induce new separability
criteria that generalize the realignment criterion.
| quant-ph | inspired by the realignment or computable cross norm criterion we present a new result about the characterization of quantum entanglement precisely an interesting class of inequalities satisfied by all separable states of a bipartite quantum system is derived these inequalities induce new separability criteria that generalize the realignment criterion | [['inspired', 'by', 'the', 'realignment', 'or', 'computable', 'cross', 'norm', 'criterion', 'we', 'present', 'a', 'new', 'result', 'about', 'the', 'characterization', 'of', 'quantum', 'entanglement', 'precisely', 'an', 'interesting', 'class', 'of', 'inequalities', 'satisfied', 'by', 'all', 'separable', 'states', 'of', 'a', 'bipartite', 'quantum', 'system', 'is', 'derived', 'these', 'inequalities', 'induce', 'new', 'separability', 'criteria', 'that', 'generalize', 'the', 'realignment', 'criterion']] | [-0.13677222637117517, 0.149968792164368, -0.10173379079194037, 0.14752292198993797, -0.04408501579939407, -0.2336189004839683, 0.03930132380420608, 0.2624278283697002, -0.29541221701977205, -0.25426039863757943, 0.09846665800016906, -0.2064993114267685, -0.18427103619585383, 0.22019754843881392, -0.0814343542430778, 0.1074634918144771, 0.0812189015132204, 0.03494494596059073, -0.12676188866227714, -0.2912430079577833, 0.3955740813089877, -0.016134487317722976, 0.23806471143830188, 0.09048929869919559, 0.07177886136834823, 0.058084094464512806, 0.004657545545119412, 0.04393901018311783, -0.2598355859763058, 0.16636416345848987, 0.2365753409281677, 0.26077038311988726, 0.26475986903913473, -0.34678146984352143, -0.15687363714511907, 0.17164893040661605, 0.02208480197100007, 0.10349356293041563, -0.03337060375975407, -0.3652485075729842, 0.054110452734713196, -0.1507016845731711, -0.1603158134586957, -0.1590798474772244, -0.016909856463269313, -0.06825397903935945, -0.3029895403935593, 0.12936751806291238, 0.18334643740435036, 0.072325544265498, -0.05818499330127118, -0.04346154772495965, 0.03807131785481256, 0.04823658273707391, -0.10425189903899267, -0.04707438057782699, 0.11223505434523127, -0.06412493498349676, -0.1872797680980697, 0.27365044494900775, 0.02168512559609906, -0.20189457835287464, 0.13161920668908908, -0.06842655378716941, -0.1368875843900427, 0.06376626662795945, 0.11537101119756699, 0.16457849247761222, -0.19008477030283943, 0.024233512874996782, -0.1309875403055731, 0.14201472923919864, 0.12329081789951543, 0.1824552177413538, 0.10812941347533951, -0.003457215120445709, 0.17550973079110288, 0.22486136773867266, 0.03507342980224259, -0.1044893799425692, -0.38181700891986187, -0.20197584270499647, -0.24365607326213576, 0.10853632739525317, -0.08879176061600447, -0.12922189015971156, 0.36618716193705186, 0.04671510924794236, 0.1534270793579671, 0.04688310822738068, 0.20003145811509113, 0.13064952935947446, 0.051092300475477026, 0.03875951836721934, 0.26719563005834207, 0.2343487858639232, -0.00832847593238159, -0.16998255772668183, 0.1142830430834117, 0.15838822416429008] |
711.3391 | Exact valence bond entanglement entropy and probability distribution in
the XXX spin chain and the Potts model | By relating the ground state of Temperley-Lieb hamiltonians to partition
functions of 2D statistical mechanics systems on a half plane, and using a
boundary Coulomb gas formalism, we obtain in closed form the valence bond
entanglement entropy as well as the valence bond probability distribution in
these ground states. We find in particular that for the XXX spin chain, the
number N_c of valence bonds connecting a subsystem of size L to the outside
goes, in the thermodynamic limit, as <N_c> = (4/pi^2) ln L, disproving a recent
conjecture that this should be related with the von Neumann entropy, and thus
equal to 1/(3 ln 2) ln L. Our results generalize to the Q-state Potts model.
| cond-mat.stat-mech quant-ph | by relating the ground state of temperleylieb hamiltonians to partition functions of 2d statistical mechanics systems on a half plane and using a boundary coulomb gas formalism we obtain in closed form the valence bond entanglement entropy as well as the valence bond probability distribution in these ground states we find in particular that for the xxx spin chain the number n_c of valence bonds connecting a subsystem of size l to the outside goes in the thermodynamic limit as n_c 4pi2 ln l disproving a recent conjecture that this should be related with the von neumann entropy and thus equal to 13 ln 2 ln l our results generalize to the qstate potts model | [['by', 'relating', 'the', 'ground', 'state', 'of', 'temperleylieb', 'hamiltonians', 'to', 'partition', 'functions', 'of', '2d', 'statistical', 'mechanics', 'systems', 'on', 'a', 'half', 'plane', 'and', 'using', 'a', 'boundary', 'coulomb', 'gas', 'formalism', 'we', 'obtain', 'in', 'closed', 'form', 'the', 'valence', 'bond', 'entanglement', 'entropy', 'as', 'well', 'as', 'the', 'valence', 'bond', 'probability', 'distribution', 'in', 'these', 'ground', 'states', 'we', 'find', 'in', 'particular', 'that', 'for', 'the', 'xxx', 'spin', 'chain', 'the', 'number', 'n_c', 'of', 'valence', 'bonds', 'connecting', 'a', 'subsystem', 'of', 'size', 'l', 'to', 'the', 'outside', 'goes', 'in', 'the', 'thermodynamic', 'limit', 'as', 'n_c', '4pi2', 'ln', 'l', 'disproving', 'a', 'recent', 'conjecture', 'that', 'this', 'should', 'be', 'related', 'with', 'the', 'von', 'neumann', 'entropy', 'and', 'thus', 'equal', 'to', '13', 'ln', '2', 'ln', 'l', 'our', 'results', 'generalize', 'to', 'the', 'qstate', 'potts', 'model']] | [-0.1072802596730585, 0.20532938236897083, -0.03296595066583351, 0.06929490875513496, 0.028791639945753244, -0.1620742325225602, 0.09484804810743536, 0.28640711369681293, -0.22770634225427944, -0.23775749048623054, 0.034190241700929144, -0.35024876244487646, -0.05684508647688705, 0.10553033261802858, -0.0013222974968021331, 0.0824813841558669, 0.007252652058377862, 0.06698796450788075, -0.10508137729180896, -0.21045096540904562, 0.29480050638439537, -0.002643429382663706, 0.26836362118306367, 0.09068599320421725, -0.003476044944608989, 0.05532673407426995, 0.1181473727338016, 0.028103350402544375, -0.18759456772987387, 0.0872349204672703, 0.22673314831462568, 0.042913073572613626, 0.20726568275333745, -0.406595173202779, -0.1798620123213724, 0.08197702758581094, 0.15526163383670474, 0.1061086456493839, 0.08674239416141064, -0.2525152029003948, 0.007357399457174799, -0.23942679727004598, -0.20564859760115328, -0.06147085713303607, 0.05818665112044824, -0.005775243946877511, -0.2433321322273949, 0.10772183829027673, 0.08244399857687075, 0.05407716224536947, -0.05219061008209119, -0.17311169209525637, -0.08618906167457285, 0.10759671762504655, 0.0172846617490944, 0.08837656311528838, 0.10049649480244388, -0.10329263204020327, -0.12432712110002404, 0.34134070020492957, -0.03668061261591704, -0.20417648352196682, 0.15151470456596303, -0.17781794859582314, -0.1608772912670089, 0.06648106310192657, 0.06718465373243974, 0.08140227895877931, -0.07639975564797287, 0.14476764159094865, -0.06640889093016639, 0.16369124699191637, 0.07085212145162666, 0.045870799838524795, 0.1919682953506708, 0.09004782583139351, 0.05821870924581004, 0.20330739999291203, -0.07176095574041423, -0.15835491862026568, -0.3171250062873182, -0.2040871908966991, -0.26962398810251414, 0.11802729113108439, -0.11501747763325947, -0.19537636639307374, 0.3290088091949102, 0.1105208528438237, 0.21341312391804937, 0.10467804051206811, 0.17695196294731905, 0.1087856558698189, 0.045888594934797806, 0.0815568500360393, 0.15739202494530574, 0.19795850563956344, 0.05191188551607016, -0.25121421417545364, -0.009030645424702569, 0.15350739387390405] |
711.3392 | Unified description of inelastic propensity rules for electron transport
through nanoscale junctions | We present a method to analyze the results of first-principles based
calculations of electronic currents including inelastic electron-phonon
effects. This method allows us to determine the electronic and vibrational
symmeties in play, and hence to obtain the so-called propensity rules for the
studied systems. We show that only a few scattering states -- namely those
belonging to the most transmitting eigenchannels -- need to be considered for a
complete description of the electron transport. We apply the method on
first-principles calculations of four different systems and obtain the
propensity rules in each case.
| cond-mat.mes-hall | we present a method to analyze the results of firstprinciples based calculations of electronic currents including inelastic electronphonon effects this method allows us to determine the electronic and vibrational symmeties in play and hence to obtain the socalled propensity rules for the studied systems we show that only a few scattering states namely those belonging to the most transmitting eigenchannels need to be considered for a complete description of the electron transport we apply the method on firstprinciples calculations of four different systems and obtain the propensity rules in each case | [['we', 'present', 'a', 'method', 'to', 'analyze', 'the', 'results', 'of', 'firstprinciples', 'based', 'calculations', 'of', 'electronic', 'currents', 'including', 'inelastic', 'electronphonon', 'effects', 'this', 'method', 'allows', 'us', 'to', 'determine', 'the', 'electronic', 'and', 'vibrational', 'symmeties', 'in', 'play', 'and', 'hence', 'to', 'obtain', 'the', 'socalled', 'propensity', 'rules', 'for', 'the', 'studied', 'systems', 'we', 'show', 'that', 'only', 'a', 'few', 'scattering', 'states', 'namely', 'those', 'belonging', 'to', 'the', 'most', 'transmitting', 'eigenchannels', 'need', 'to', 'be', 'considered', 'for', 'a', 'complete', 'description', 'of', 'the', 'electron', 'transport', 'we', 'apply', 'the', 'method', 'on', 'firstprinciples', 'calculations', 'of', 'four', 'different', 'systems', 'and', 'obtain', 'the', 'propensity', 'rules', 'in', 'each', 'case']] | [-0.09804695690464642, 0.07229488786413438, -0.1007345402923723, 0.06700778938183147, -0.05839892617530293, -0.11646026104378203, 0.11964586714489592, 0.38507840442988606, -0.23925673462993777, -0.2629956947484364, 0.02310192595080783, -0.29517132711561217, -0.16520679728645418, 0.19530049233386915, 0.05277205831888649, 0.039859095874190745, 0.04275398728334241, 0.005277820769697428, -0.07528267848150184, -0.2007975595498768, 0.3180505322913329, 0.02088113011688822, 0.28837569046558603, 0.10786063887385858, 0.05774484552029106, 0.058776431106444864, -0.01296293611327807, 0.017783721288045246, -0.15797971807098496, 0.16772159018437377, 0.26764912311401634, 0.03068340236010651, 0.24918308022121588, -0.4875262697123819, -0.2096313297127684, 0.048824954353686834, 0.10894540968454547, 0.20119382302638972, -0.013928981880760855, -0.20337048056794124, 0.08436439381394949, -0.18072913728861345, -0.117378746625036, -0.18140902432820036, -0.04814759122414721, 0.02590720963974794, -0.2815796628749619, 0.06023585113903714, -0.003594943456765678, 0.011894218684271133, -0.12490590728832306, -0.13889365636019244, -0.01042407873707513, 0.13617147194842497, 0.013670695935272509, -0.04979947115191155, 0.13204174856655299, -0.09354779683829596, -0.14101122257610163, 0.42786007119963565, -0.038158802990801634, -0.18152936493150063, 0.18638047703878127, -0.14885891367577844, -0.1474354796215064, 0.1125804761942062, 0.17478266005507773, 0.1501526539369176, -0.19376261910009715, 0.01574104229415146, -0.006618619884183216, 0.14301458450241222, 0.026563003721336523, 0.08262666354292175, 0.14990384206175805, 0.14387280150420137, 0.01929678880713052, 0.1223477133252244, -0.12649444442811525, -0.07169901165179908, -0.23905648899575074, -0.1521635258052912, -0.15745145964125792, 0.050592376628386164, -0.022617802856418873, -0.17771969815302227, 0.42107774400048786, 0.18790971244581872, 0.1827516497429719, 0.003358767952563034, 0.23672448549833564, 0.11965418151683277, 0.07059732283879486, 0.054678567271265716, 0.2455115342202286, 0.16014752398348517, 0.0508628213002036, -0.27363699204547126, 0.047141820730434526, 0.05407910577745901] |
711.3393 | Pinning and Binding Energies for Vortices in Neutron Stars: Comments on
Recent Results | We investigate when the energy that pins a superfluid vortex to the lattice
of nuclei in the inner crust of neutron stars can be approximated by the energy
that binds the vortex to a single nucleus. Indeed, although the pinning energy
is the quantity relevant to the theory of pulsar glitches, so far full quantum
calculations have been possible only for the binding energy. Physically, the
presence of nearby nuclei can be neglected if the lattice is dilute, namely
with nuclei sufficiently distant from each other. We find that the dilute limit
is reached only for quite large Wigner-Seitz cells, with radii > 55 fm; these
are found only in the outermost low-density regions of the inner crust. We
conclude that present quantum calculations do not correspond to the pinning
energies in almost the entire inner crust and thus their results are not
predictive for the theory of glitches.
| astro-ph | we investigate when the energy that pins a superfluid vortex to the lattice of nuclei in the inner crust of neutron stars can be approximated by the energy that binds the vortex to a single nucleus indeed although the pinning energy is the quantity relevant to the theory of pulsar glitches so far full quantum calculations have been possible only for the binding energy physically the presence of nearby nuclei can be neglected if the lattice is dilute namely with nuclei sufficiently distant from each other we find that the dilute limit is reached only for quite large wignerseitz cells with radii 55 fm these are found only in the outermost lowdensity regions of the inner crust we conclude that present quantum calculations do not correspond to the pinning energies in almost the entire inner crust and thus their results are not predictive for the theory of glitches | [['we', 'investigate', 'when', 'the', 'energy', 'that', 'pins', 'a', 'superfluid', 'vortex', 'to', 'the', 'lattice', 'of', 'nuclei', 'in', 'the', 'inner', 'crust', 'of', 'neutron', 'stars', 'can', 'be', 'approximated', 'by', 'the', 'energy', 'that', 'binds', 'the', 'vortex', 'to', 'a', 'single', 'nucleus', 'indeed', 'although', 'the', 'pinning', 'energy', 'is', 'the', 'quantity', 'relevant', 'to', 'the', 'theory', 'of', 'pulsar', 'glitches', 'so', 'far', 'full', 'quantum', 'calculations', 'have', 'been', 'possible', 'only', 'for', 'the', 'binding', 'energy', 'physically', 'the', 'presence', 'of', 'nearby', 'nuclei', 'can', 'be', 'neglected', 'if', 'the', 'lattice', 'is', 'dilute', 'namely', 'with', 'nuclei', 'sufficiently', 'distant', 'from', 'each', 'other', 'we', 'find', 'that', 'the', 'dilute', 'limit', 'is', 'reached', 'only', 'for', 'quite', 'large', 'wignerseitz', 'cells', 'with', 'radii', '55', 'fm', 'these', 'are', 'found', 'only', 'in', 'the', 'outermost', 'lowdensity', 'regions', 'of', 'the', 'inner', 'crust', 'we', 'conclude', 'that', 'present', 'quantum', 'calculations', 'do', 'not', 'correspond', 'to', 'the', 'pinning', 'energies', 'in', 'almost', 'the', 'entire', 'inner', 'crust', 'and', 'thus', 'their', 'results', 'are', 'not', 'predictive', 'for', 'the', 'theory', 'of', 'glitches']] | [-0.08834526189162421, 0.22164490202290787, -0.06840121460216422, 0.09417208483854837, -0.035402006057493794, -0.08307483857749282, 0.06738586713736122, 0.37116633516711156, -0.2327064889816668, -0.27979708574963985, 0.03955095157947948, -0.2926345368142466, -0.0371932600368431, 0.18192589853503238, -0.002625574788858963, -0.026146975865059003, 0.06065494331021516, 0.07898360302017347, -0.07132335279704814, -0.2229174090850417, 0.2818264671651697, 0.06795780499610496, 0.21346990615632888, 0.0629629295963241, 0.006119372832865731, -0.07466440889795588, 0.06981557396215361, 0.0303208360486236, -0.14614177051702723, 0.08518374301304386, 0.2613359051819488, 0.01870901440742199, 0.1829593254731515, -0.4848934861523024, -0.23757808617744092, 0.11102693708852639, 0.18199430809456957, 0.1415374358562199, -0.02272274118621607, -0.22738402616861905, 0.10276036590929269, -0.20366053375874874, -0.17075233643157156, -0.08027848245802562, 0.04020455901234134, 0.06329346872941666, -0.20633268498853352, 0.10158301837745475, 0.06211083683160108, -0.002914071817055653, -0.10929735072548627, -0.1252469302098443, -0.04090445657021593, 0.1101285876681465, 0.057645258967248675, 0.033157485376766604, 0.19139600463991835, -0.1308622033951955, -0.018033297265237953, 0.3866373335539892, 0.012918827901090923, -0.13116287135493918, 0.17671800850468963, -0.2139819285775711, -0.1233201670504452, 0.18137381023198768, 0.10517391261669833, 0.10650592358040346, -0.1496052962175855, 0.06517104598075289, -0.08745532422766995, 0.2038432948049032, 0.05642291060900567, 0.047863365846333675, 0.29590840088329406, 0.16456716407658342, 0.02791012408262169, 0.094643095927077, -0.17921820871305424, -0.10785001819533284, -0.28095805172720373, -0.07046261750872725, -0.20477674561678558, 0.04280743595370803, -0.054211246822642105, -0.15318685174114197, 0.3162973340871316, 0.08081056146467155, 0.17279297419520082, -0.012505596758470544, 0.2510398915163367, 0.07524775708333363, 0.1167788592755568, 0.12688736074975365, 0.352626041893067, 0.13558990684986064, 0.04915726665608786, -0.2657946144101663, 0.053489914138776226, 0.03169137621424287] |
711.3394 | Maximally entangled fermions | Fermions play an essential role in many areas of quantum physics and it is
desirable to understand the nature of entanglement within systems that consists
of fermions. Whereas the issue of separability for bipartite fermions has
extensively been studied in the present literature, this paper is concerned
with maximally entangled fermions. A complete characterization of maximally
entangled quasifree (gaussian) fermion states is given in terms of the
covariance matrix. This result can be seen as a step towards distillation
protocols for maximally entangled fermions.
| quant-ph | fermions play an essential role in many areas of quantum physics and it is desirable to understand the nature of entanglement within systems that consists of fermions whereas the issue of separability for bipartite fermions has extensively been studied in the present literature this paper is concerned with maximally entangled fermions a complete characterization of maximally entangled quasifree gaussian fermion states is given in terms of the covariance matrix this result can be seen as a step towards distillation protocols for maximally entangled fermions | [['fermions', 'play', 'an', 'essential', 'role', 'in', 'many', 'areas', 'of', 'quantum', 'physics', 'and', 'it', 'is', 'desirable', 'to', 'understand', 'the', 'nature', 'of', 'entanglement', 'within', 'systems', 'that', 'consists', 'of', 'fermions', 'whereas', 'the', 'issue', 'of', 'separability', 'for', 'bipartite', 'fermions', 'has', 'extensively', 'been', 'studied', 'in', 'the', 'present', 'literature', 'this', 'paper', 'is', 'concerned', 'with', 'maximally', 'entangled', 'fermions', 'a', 'complete', 'characterization', 'of', 'maximally', 'entangled', 'quasifree', 'gaussian', 'fermion', 'states', 'is', 'given', 'in', 'terms', 'of', 'the', 'covariance', 'matrix', 'this', 'result', 'can', 'be', 'seen', 'as', 'a', 'step', 'towards', 'distillation', 'protocols', 'for', 'maximally', 'entangled', 'fermions']] | [-0.11940990329631382, 0.23812047099030073, -0.07570038602820464, 0.06493662544553877, 0.03913586035681268, -0.18593125074126182, 0.0044031172749652925, 0.34996495249548126, -0.17305675834151252, -0.2536786874490125, 0.057227770100802274, -0.27025669584760353, -0.13251178732995564, 0.13232030493340322, -0.05534498897094679, 0.13909109941284573, 0.07559000151897115, 0.03346456385528048, -0.05613524746426958, -0.2694044399776474, 0.35337990934827496, 0.031985690630140846, 0.2970120265769462, 0.06979254722717174, 0.06316536268041957, 0.0555758285945991, 0.0036032573275622867, -0.0412270992196032, -0.04386739124908802, 0.11233975229870771, 0.33655953749881257, 0.08783863341557749, 0.26897147371034535, -0.39354143471324016, -0.23612205543516515, 0.14473890263720282, 0.1835926089150321, 0.15727039872685314, -0.0480535704243396, -0.3016405733512892, 0.016112764099878923, -0.19011731873199875, -0.17738514127475874, -0.09851132951665759, 0.003661496387351127, -0.14151272258632594, -0.25112649405907306, 0.10329004115469399, 0.08062057647233208, 0.04406627058605885, 0.039131727368970005, -0.09406536730516347, 4.752277440968014e-05, 0.13080805165338374, -0.01593662625860556, 0.014578394026362471, 0.07100379453705889, -0.18498142499897985, -0.1959830573316486, 0.40738857037476484, -0.0008567427894810126, -0.2334214769126404, 0.17947838262383206, -0.09319940225049365, -0.15772735030623153, 0.04823206819682604, 0.13620052317024342, 0.11569864225817755, -0.19139991016016297, 0.10738374153637172, -0.1248280249890827, 0.17338376218963059, 0.034138934356936566, 0.181093048376386, 0.24328676855380071, 0.14732356752557235, 0.10678487733890679, 0.21866644772983687, 0.02335075087501623, -0.15302543107619776, -0.2805030094321063, -0.2294523115602455, -0.25282840081490576, 0.07526713703971057, -0.0025016581804222717, -0.16951430247198523, 0.4294417399602632, 0.10165782501765837, 0.12758697144870115, -0.047155434235243036, 0.1966188415868341, 0.08061228856483164, 0.04923782517046978, 0.065276491949113, 0.2646963159176743, 0.19708100505383863, 0.06879844700562812, -0.1835910981310354, 0.05799229331647179, 0.056177697998161115] |
711.3395 | Inhibition of thermohaline mixing by a magnetic field in Ap star
descendants: Implications for the Galactic evolution of 3He | To reconcile the measurements of 3He/H in Galactic HII regions with high
values of 3He in a couple of planetary nebulae, we propose that thermohaline
mixing is inhibited by a fossil magnetic field in red giant stars that are
descendants of Ap stars. We examine the effect of a magnetic field on the
salt-finger instability, using a local analysis. We obtain a threshold for the
magnetic field of 10^4 - 10^5 Gauss, above which it inhibits thermohaline
mixing in red giant stars located at or above the bump. Fields of that order
are expected in the descendants of the Ap stars, taking into account the
contraction of their core. We conclude that in a large fraction of the
descendants of Ap stars thermohaline mixing does not occur. As a consequence
these objects must produce 3He as predicted by the standard theory of stellar
evolution and as observed in the planetary nebulae NGC3242 and J320. The
relative number of such stars with respect to non-magnetic objects that undergo
thermohaline mixing is consistent with the statistical constraint coming from
observations of the carbon isotopic ratio in red giant stars. It also satisfies
the Galactic requirements for the evolution of the 3He abundance.
| astro-ph | to reconcile the measurements of 3heh in galactic hii regions with high values of 3he in a couple of planetary nebulae we propose that thermohaline mixing is inhibited by a fossil magnetic field in red giant stars that are descendants of ap stars we examine the effect of a magnetic field on the saltfinger instability using a local analysis we obtain a threshold for the magnetic field of 104 105 gauss above which it inhibits thermohaline mixing in red giant stars located at or above the bump fields of that order are expected in the descendants of the ap stars taking into account the contraction of their core we conclude that in a large fraction of the descendants of ap stars thermohaline mixing does not occur as a consequence these objects must produce 3he as predicted by the standard theory of stellar evolution and as observed in the planetary nebulae ngc3242 and j320 the relative number of such stars with respect to nonmagnetic objects that undergo thermohaline mixing is consistent with the statistical constraint coming from observations of the carbon isotopic ratio in red giant stars it also satisfies the galactic requirements for the evolution of the 3he abundance | [['to', 'reconcile', 'the', 'measurements', 'of', '3heh', 'in', 'galactic', 'hii', 'regions', 'with', 'high', 'values', 'of', '3he', 'in', 'a', 'couple', 'of', 'planetary', 'nebulae', 'we', 'propose', 'that', 'thermohaline', 'mixing', 'is', 'inhibited', 'by', 'a', 'fossil', 'magnetic', 'field', 'in', 'red', 'giant', 'stars', 'that', 'are', 'descendants', 'of', 'ap', 'stars', 'we', 'examine', 'the', 'effect', 'of', 'a', 'magnetic', 'field', 'on', 'the', 'saltfinger', 'instability', 'using', 'a', 'local', 'analysis', 'we', 'obtain', 'a', 'threshold', 'for', 'the', 'magnetic', 'field', 'of', '104', '105', 'gauss', 'above', 'which', 'it', 'inhibits', 'thermohaline', 'mixing', 'in', 'red', 'giant', 'stars', 'located', 'at', 'or', 'above', 'the', 'bump', 'fields', 'of', 'that', 'order', 'are', 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711.3396 | Hadron structure at low Q^2 | This review deals with the structure of hadrons, strongly interacting
many-body systems consisting of quarks and gluons. These systems have a size of
about 1 fm, which shows up in scattering experiments at low momentum transfers
$Q$ in the GeV region. At this scale the running coupling constant of Quantum
Chromodynamics (QCD), the established theory of the strong interactions,
becomes divergent. It is therefore highly intriguing to explore this theory in
the realm of its strong interaction regime. However, the quarks and gluons can
not be resolved at the GeV scale but have to be studied through their
manifestations in the bound many-body systems, for instance pions, nucleons and
their resonances. The review starts with a short overview of QCD at low
momentum transfer and a summary of the theoretical apparatus describing the
interaction of hadrons with electrons and photons. In the following sections we
present the experimental results for the most significant observables studied
with the electromagnetic probe: form factors, polarizabilities, excitation
spectra, and sum rules. These experimental findings are compared and
interpreted with various theoretical approaches to QCD, such as
phenomenological models with quarks and pions, dispersion relations as a means
to connect observables from different experiments, and, directly based on the
QCD lagrangian, chiral perturbation theory and lattice gauge theory.
| hep-ph | this review deals with the structure of hadrons strongly interacting manybody systems consisting of quarks and gluons these systems have a size of about 1 fm which shows up in scattering experiments at low momentum transfers q in the gev region at this scale the running coupling constant of quantum chromodynamics qcd the established theory of the strong interactions becomes divergent it is therefore highly intriguing to explore this theory in the realm of its strong interaction regime however the quarks and gluons can not be resolved at the gev scale but have to be studied through their manifestations in the bound manybody systems for instance pions nucleons and their resonances the review starts with a short overview of qcd at low momentum transfer and a summary of the theoretical apparatus describing the interaction of hadrons with electrons and photons in the following sections we present the experimental results for the most significant observables studied with the electromagnetic probe form factors polarizabilities excitation spectra and sum rules these experimental findings are compared and interpreted with various theoretical approaches to qcd such as phenomenological models with quarks and pions dispersion relations as a means to connect observables from different experiments and directly based on the qcd lagrangian chiral perturbation theory and lattice gauge theory | [['this', 'review', 'deals', 'with', 'the', 'structure', 'of', 'hadrons', 'strongly', 'interacting', 'manybody', 'systems', 'consisting', 'of', 'quarks', 'and', 'gluons', 'these', 'systems', 'have', 'a', 'size', 'of', 'about', '1', 'fm', 'which', 'shows', 'up', 'in', 'scattering', 'experiments', 'at', 'low', 'momentum', 'transfers', 'q', 'in', 'the', 'gev', 'region', 'at', 'this', 'scale', 'the', 'running', 'coupling', 'constant', 'of', 'quantum', 'chromodynamics', 'qcd', 'the', 'established', 'theory', 'of', 'the', 'strong', 'interactions', 'becomes', 'divergent', 'it', 'is', 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711.3397 | Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition
with nuclear matter | We study the phase diagram of the three flavor Polyakov-Nambu-Jona Lasinio
(PNJL) model and in particular the interplay between chiral symmetry
restoration and deconfinement crossover. We compute chiral condensates, quark
densities and the Polyakov loop at several values of temperature and chemical
potential. Moreover we investigate on the role of the Polyakov loop dynamics in
the transition from nuclear matter to quark matter.
| hep-ph | we study the phase diagram of the three flavor polyakovnambujona lasinio pnjl model and in particular the interplay between chiral symmetry restoration and deconfinement crossover we compute chiral condensates quark densities and the polyakov loop at several values of temperature and chemical potential moreover we investigate on the role of the polyakov loop dynamics in the transition from nuclear matter to quark matter | [['we', 'study', 'the', 'phase', 'diagram', 'of', 'the', 'three', 'flavor', 'polyakovnambujona', 'lasinio', 'pnjl', 'model', 'and', 'in', 'particular', 'the', 'interplay', 'between', 'chiral', 'symmetry', 'restoration', 'and', 'deconfinement', 'crossover', 'we', 'compute', 'chiral', 'condensates', 'quark', 'densities', 'and', 'the', 'polyakov', 'loop', 'at', 'several', 'values', 'of', 'temperature', 'and', 'chemical', 'potential', 'moreover', 'we', 'investigate', 'on', 'the', 'role', 'of', 'the', 'polyakov', 'loop', 'dynamics', 'in', 'the', 'transition', 'from', 'nuclear', 'matter', 'to', 'quark', 'matter']] | [-0.1066029706437673, 0.29308647637270274, -0.1201511548965105, 0.10108962859071437, -0.018501641583584603, -0.07226178994668382, 0.07355087835873876, 0.3870069557239139, -0.1473004185587227, -0.23232274845479026, 0.01038139296828636, -0.28033171798146905, -0.10552648808215818, -0.006705023854645708, 0.09393427444119302, 0.038024193956747665, -0.1156200462848776, 0.06446971361421877, -0.15299224111414145, -0.17218547787458177, 0.3855250034747379, -0.07343400175136233, 0.2574676700409443, 0.23031042514014102, 0.03393058931188924, -0.06736111331228463, 0.02250617186701487, -0.035580142652468075, -0.13734564507409694, -0.031018538596404212, 0.14832427877274948, -0.05679696527058407, 0.0681033448153545, -0.3981700181251481, -0.2512065323498396, 0.15188490347715006, 0.11962069776500502, 0.15699289055792467, -0.052673021924593263, -0.31610688170979895, 0.010735834919152752, -0.2373459048805729, -0.16031171434691974, -0.16282483095687533, -0.04079894442111254, -0.09611675717187898, -0.2659810507403953, 0.1139767085098558, -0.04877109325949162, 0.0693456707817931, -0.027215526897519354, -0.16885214525141887, -0.07696318196960622, 0.10746478620502684, 0.061043782616108065, 0.07020188741282457, 0.1919024040837521, -0.26986835885142524, -0.09542926315898223, 0.44461961628662217, -0.07487461653848489, -0.06626500658291791, 0.145634268247892, -0.2029733581039759, -0.17069200812912885, 0.03995077666782197, 0.16387631458836416, 0.05444962308845586, -0.14780573245315326, 0.12296595339042445, 0.007026879205590203, 0.11233166576037923, 0.0702818873530579, 0.011857331183458131, 0.2960841619956588, 0.20667259110921313, -0.016566067017496577, 0.1412712142965387, -0.07121959127234442, -0.26027638165812406, -0.3717343902274493, -0.07249112161142486, -0.0992168164146798, -0.05524716624206612, -0.1632332291208311, -0.14287955988021123, 0.47349339558018577, 0.197548073376455, 0.2218749342811486, -0.03908332262838644, 0.2737516969634545, 0.07133026747772145, 0.0162936236029343, 0.049670159735436, 0.2244126603362106, 0.27187222917933784, 0.16019680969683187, -0.4412563914573559, -0.10452752340851086, 0.18846760799605694] |
711.3398 | A prototype large-angle photon veto detector for the P326 experiment at
CERN | The P326 experiment at the CERN SPS has been proposed with the purpose of
measuring the branching ratio for the decay K^+ \to \pi^+ \nu \bar{\nu} to
within 10%. The photon veto system must provide a rejection factor of 10^8 for
\pi^0 decays. We have explored two designs for the large-angle veto detectors,
one based on scintillating tiles and the other using scintillating fibers. We
have constructed a prototype module based on the fiber solution and evaluated
its performance using low-energy electron beams from the Frascati Beam-Test
Facility. For comparison, we have also tested a tile prototype constructed for
the CKM experiment, as well as lead-glass modules from the OPAL electromagnetic
barrel calorimeter. We present results on the linearity, energy resolution, and
time resolution obtained with the fiber prototype, and compare the detection
efficiency for electrons obtained with all three instruments.
| physics.ins-det | the p326 experiment at the cern sps has been proposed with the purpose of measuring the branching ratio for the decay k to pi nu barnu to within 10 the photon veto system must provide a rejection factor of 108 for pi0 decays we have explored two designs for the largeangle veto detectors one based on scintillating tiles and the other using scintillating fibers we have constructed a prototype module based on the fiber solution and evaluated its performance using lowenergy electron beams from the frascati beamtest facility for comparison we have also tested a tile prototype constructed for the ckm experiment as well as leadglass modules from the opal electromagnetic barrel calorimeter we present results on the linearity energy resolution and time resolution obtained with the fiber prototype and compare the detection efficiency for electrons obtained with all three instruments | [['the', 'p326', 'experiment', 'at', 'the', 'cern', 'sps', 'has', 'been', 'proposed', 'with', 'the', 'purpose', 'of', 'measuring', 'the', 'branching', 'ratio', 'for', 'the', 'decay', 'k', 'to', 'pi', 'nu', 'barnu', 'to', 'within', '10', 'the', 'photon', 'veto', 'system', 'must', 'provide', 'a', 'rejection', 'factor', 'of', '108', 'for', 'pi0', 'decays', 'we', 'have', 'explored', 'two', 'designs', 'for', 'the', 'largeangle', 'veto', 'detectors', 'one', 'based', 'on', 'scintillating', 'tiles', 'and', 'the', 'other', 'using', 'scintillating', 'fibers', 'we', 'have', 'constructed', 'a', 'prototype', 'module', 'based', 'on', 'the', 'fiber', 'solution', 'and', 'evaluated', 'its', 'performance', 'using', 'lowenergy', 'electron', 'beams', 'from', 'the', 'frascati', 'beamtest', 'facility', 'for', 'comparison', 'we', 'have', 'also', 'tested', 'a', 'tile', 'prototype', 'constructed', 'for', 'the', 'ckm', 'experiment', 'as', 'well', 'as', 'leadglass', 'modules', 'from', 'the', 'opal', 'electromagnetic', 'barrel', 'calorimeter', 'we', 'present', 'results', 'on', 'the', 'linearity', 'energy', 'resolution', 'and', 'time', 'resolution', 'obtained', 'with', 'the', 'fiber', 'prototype', 'and', 'compare', 'the', 'detection', 'efficiency', 'for', 'electrons', 'obtained', 'with', 'all', 'three', 'instruments']] | [-0.04328975219021751, 0.12881541122748916, -0.07902021590686803, 0.017840806411446204, -0.01377875141999019, -0.17313354660956456, 0.006920550952366154, 0.3963257246783802, -0.15106439707202038, -0.31447575164160557, 0.08184841300493904, -0.3467359076520162, 0.0030509314366749356, 0.2414438788912126, 0.05092040226029764, 0.1319387535760013, 0.09214037719149408, 0.0010067833988744365, -0.045176994521170855, -0.19367072040747318, 0.23858911474235356, 0.1745314423061375, 0.29916035154268944, 0.05088829212888543, 0.16688959061700318, 0.012453405667994438, -0.03859631991612592, -0.015021890734455414, -0.14527492050879767, 0.03672860818249839, 0.26236281877583156, 0.11295184591518981, 0.12200414169180607, -0.39207627875730394, -0.09474955751294536, 0.07833381138708709, 0.08014611613803677, -0.027915077323892288, -0.0933091762400831, -0.30628093743829854, 0.1366435203576527, -0.21070249789024403, -0.10518591030101691, -0.021919815320247185, -0.049038639145770245, 0.034760049185050386, -0.2588822564908436, -0.05857781351556436, -0.05014464403419489, 0.057555349872979736, -0.018864237867195956, -0.20562050280942848, 0.07037005201148401, 0.07338584884668567, 0.012866574080128755, 0.022542201451558087, 0.17189674012895143, -0.10217045448454364, -0.16246406735320176, 0.35624175632505545, -0.06644112635237565, -0.18901046034547367, 0.15864110302313097, -0.19093670482314856, -0.10596537456980773, 0.18217196225720858, 0.1796200480944078, 0.057515068471963915, -0.16328956564622266, 0.03704725383431651, -0.01063413314155436, 0.20356955098520432, 0.13100269621271374, 0.03660214130899736, 0.16691906465483564, 0.2877650356934672, 0.010061719875583158, 0.1330727341131673, -0.19108291668318478, 0.028814473145342034, -0.34284787175960707, -0.1615029186476022, -0.1157783876123306, 0.032095107900178325, -0.025512634334466253, -0.05993650415413348, 0.3931314291952211, 0.06069692805010293, 0.16180334779866307, 0.02837213572181229, 0.3162232856931431, 0.04068357110455898, 0.11099570275483919, -0.0026424616708287173, 0.32599048662398544, 0.1140128333969707, 0.12603964960934327, -0.21110064429646758, 0.01436504565312394, 0.06695363027974963] |
711.3399 | Improved Poincare inequalities with weights | In this paper we prove that if $\Omega\in\mathbb{R}^n$ is a bounded John
domain, the following weighted Poincare-type inequality holds: $$ \inf_{a\in
\mathbb{R}}\| (f(x)-a) w_1(x) \|_{L^q(\Omega)} \le C \|\nabla f(x) d(x)^\alpha
w_2(x) \|_{L^p(\Omega)} $$ where $f$ is a locally Lipschitz function on
$\Omega$, $d(x)$ denotes the distance of $x$ to the boundary of $\Omega$, the
weights $w_1, w_2$ satisfy certain cube conditions, and $\alpha \in [0,1]$
depends on $p,q$ and $n$. This result generalizes previously known weighted
inequalities, which can also be obtained with our approach.
| math.CA | in this paper we prove that if omegainmathbbrn is a bounded john domain the following weighted poincaretype inequality holds inf_ain mathbbr fxa w_1x _lqomega le c nabla fx dxalpha w_2x _lpomega where f is a locally lipschitz function on omega dx denotes the distance of x to the boundary of omega the weights w_1 w_2 satisfy certain cube conditions and alpha in 01 depends on pq and n this result generalizes previously known weighted inequalities which can also be obtained with our approach | [['in', 'this', 'paper', 'we', 'prove', 'that', 'if', 'omegainmathbbrn', 'is', 'a', 'bounded', 'john', 'domain', 'the', 'following', 'weighted', 'poincaretype', 'inequality', 'holds', 'inf_ain', 'mathbbr', 'fxa', 'w_1x', '_lqomega', 'le', 'c', 'nabla', 'fx', 'dxalpha', 'w_2x', '_lpomega', 'where', 'f', 'is', 'a', 'locally', 'lipschitz', 'function', 'on', 'omega', 'dx', 'denotes', 'the', 'distance', 'of', 'x', 'to', 'the', 'boundary', 'of', 'omega', 'the', 'weights', 'w_1', 'w_2', 'satisfy', 'certain', 'cube', 'conditions', 'and', 'alpha', 'in', '01', 'depends', 'on', 'pq', 'and', 'n', 'this', 'result', 'generalizes', 'previously', 'known', 'weighted', 'inequalities', 'which', 'can', 'also', 'be', 'obtained', 'with', 'our', 'approach']] | [-0.17709941771824525, 0.09957750805335332, -0.04093591265580794, 0.028056016280256873, -0.08960991983797072, -0.1975958621883883, 0.00506646379009125, 0.343028258720908, -0.36541101010516286, -0.16268164494746848, 0.07457888727901574, -0.3084294004247913, -0.10154191446136919, 0.17956913189514528, -0.12514432492559846, 0.015225238502732937, 0.003935710951402972, 0.10950498464458351, -0.08877250608764117, -0.26207487476117247, 0.34336885246389276, -0.14114407154059486, 0.16821431118075417, 0.10531736061542848, 0.10402602381389765, -0.009366936297922195, 0.05924390211238679, -0.023172784891403928, -0.2780857991720616, 0.09940503278078182, 0.18311503270192991, 0.14339175061440637, 0.3028321751169389, -0.31141995777717874, -0.15377937715877837, 0.2377541593432167, 0.131481031250633, -0.13504056185277627, 0.05118907646635618, -0.2833420516616559, 0.13211332209691218, -0.05475278797594807, -0.14055721520717385, 0.013530919726207099, 0.08783042109630342, 0.08056085734757819, -0.3989450797155688, 0.11648728917433904, 0.11396715634419949, -0.0049616175488557054, -0.07857698816334523, -0.16624667372295185, -0.04281751927919686, 0.03844471581138765, -0.015579036457605566, 0.21569931581380625, 0.04121261046421301, -0.0018890294765086869, -0.0293436546845338, 0.313634755867946, -0.07553350205144173, -0.2886763031158266, 0.05823429212374966, -0.2184223897660835, -0.16834017046126007, -0.0007511367431924313, 0.07436122146804959, 0.2189808478461036, -0.06246920673860402, 0.26154569623537977, -0.1399821358293743, 0.14380499008524267, 0.15082556737846212, 0.022721315233060455, -0.011205471648327723, 0.05352281644067998, 0.17476486338153657, 0.12288575082917144, -0.01089969079623211, 0.014306570317808397, -0.4067169840954527, -0.14221560977446504, -0.22392637599141726, 0.1555709644586225, -0.137233551520533, -0.13733667977555078, 0.2302886498738316, 0.04451174543038765, 0.19809853313844414, 0.15285611507641977, 0.1660717219833426, 0.12373424263205379, 0.01313429630856631, 0.10508910895478499, 0.09844921154406251, 0.14044479291614947, 0.07263748189935437, -0.14540645051040227, 0.07245540206285217, 0.17186025423760368] |
711.34 | On the Non-degeneracy of Kendall's and Spearman's Correlation
Coefficients | Hoeffding proved that Kendall's and Spearman's nonparametric measures of
correlation between two continuous random variables X and Y are each
asymptotically normal with an asymptotic variance of the form sigma^2/n --
provided the non-degeneracy condition sigma^2>0 holds, where sigma^2 is a
certain (always nonnegative) expression which is determined by the joint
distribution (say mu) of X and Y. Sufficient conditions for sigma^2>0 in terms
of the support set (say S) of mu are given, the same for both correlation
statistics. One of them is that there exist a rectangle with all its vertices
in S, sides parallel to the X and Y axes, and an interior point also in S.
Another sufficient condition is that the Lebesgue measure of S be nonzero.
| math.ST math.GM stat.TH | hoeffding proved that kendalls and spearmans nonparametric measures of correlation between two continuous random variables x and y are each asymptotically normal with an asymptotic variance of the form sigma2n provided the nondegeneracy condition sigma20 holds where sigma2 is a certain always nonnegative expression which is determined by the joint distribution say mu of x and y sufficient conditions for sigma20 in terms of the support set say s of mu are given the same for both correlation statistics one of them is that there exist a rectangle with all its vertices in s sides parallel to the x and y axes and an interior point also in s another sufficient condition is that the lebesgue measure of s be nonzero | [['hoeffding', 'proved', 'that', 'kendalls', 'and', 'spearmans', 'nonparametric', 'measures', 'of', 'correlation', 'between', 'two', 'continuous', 'random', 'variables', 'x', 'and', 'y', 'are', 'each', 'asymptotically', 'normal', 'with', 'an', 'asymptotic', 'variance', 'of', 'the', 'form', 'sigma2n', 'provided', 'the', 'nondegeneracy', 'condition', 'sigma20', 'holds', 'where', 'sigma2', 'is', 'a', 'certain', 'always', 'nonnegative', 'expression', 'which', 'is', 'determined', 'by', 'the', 'joint', 'distribution', 'say', 'mu', 'of', 'x', 'and', 'y', 'sufficient', 'conditions', 'for', 'sigma20', 'in', 'terms', 'of', 'the', 'support', 'set', 'say', 's', 'of', 'mu', 'are', 'given', 'the', 'same', 'for', 'both', 'correlation', 'statistics', 'one', 'of', 'them', 'is', 'that', 'there', 'exist', 'a', 'rectangle', 'with', 'all', 'its', 'vertices', 'in', 's', 'sides', 'parallel', 'to', 'the', 'x', 'and', 'y', 'axes', 'and', 'an', 'interior', 'point', 'also', 'in', 's', 'another', 'sufficient', 'condition', 'is', 'that', 'the', 'lebesgue', 'measure', 'of', 's', 'be', 'nonzero']] | [-0.16596388321154373, 0.13734857708216675, -0.0888153152224754, 0.06704830919769554, -0.013185328201675587, -0.20926169127087332, 0.0461652879593586, 0.36329901310776874, -0.26973650076480443, -0.19354395131332308, 0.08012200712730477, -0.3039073664848962, -0.07915457514353282, 0.13547199114787678, -0.06426434461335259, 0.026005280249817526, 0.02662222223425638, 0.11413354892668522, -0.09846637465929504, -0.2841727353463119, 0.3101871102578815, -0.0556606150132196, 0.2610209543615857, 0.031836898812700895, 0.1428820792477855, -0.00040814825064264054, -0.012582670581673295, 0.034336183005597536, -0.1553659989557605, 0.0644904839895735, 0.20574893680793688, 0.15662122109889492, 0.2656159482834753, -0.31156685615481794, -0.1311786698623876, 0.204673519804458, 0.07692937221193363, -0.0801416677278505, 0.01086980911560572, -0.24140235198246054, 0.14910849642531931, -0.07754139144989577, -0.12823204379644215, -0.03716334921100046, 0.1275949989222298, 0.05216618241888494, -0.38505810767042736, 0.06939613250876038, 0.12551961019866106, 0.056977624535437456, -0.012030624566130218, -0.17592353351829834, -0.08735436829738319, 0.1127503788221843, 0.0667620096855974, 0.10280658385508563, 0.04201182968648004, -0.049808150218907464, -0.05472948691472873, 0.3185829365325799, -0.06364801268608979, -0.28080975660772356, 0.14692206421389806, -0.22780787280360468, -0.12492739182920003, 0.10222245993916222, 0.0770224419591779, 0.12464116750023335, -0.14799084733740603, 0.15297649326409052, -0.09011275493270479, 0.12299150011568592, 0.10325375638809825, 0.03131690727208148, 0.16632591739820302, 0.05848171262162899, 0.14902543265387908, 0.08818867484257703, -0.08205500182581196, -0.015957002770463545, -0.37411275148884326, -0.17647075541086557, -0.23194788392221416, 0.07452884840601978, -0.1532692304067458, -0.18294037358204196, 0.30267848823054055, 0.07845100965966617, 0.24413856603820955, 0.07433379728689574, 0.21396200197233148, 0.11736761279269949, -0.033629162035967136, 0.09616607100094769, 0.10803648488488325, 0.17475299248741247, 0.0002604546756599068, -0.14640616019369943, 0.10733729603985125, 0.07626818905561424] |
711.3401 | Uniform approximation for the overlap caustic of a quantum state with
its translations | The semiclassical Wigner function for a Bohr-quantized energy eigenstate is
known to have a caustic along the corresponding classical closed phase space
curve in the case of a single degree of freedom. Its Fourier transform, the
semiclassical chord function, also has a caustic along the conjugate curve
defined as the locus of diameters, i.e. the maximal chords of the original
curve. If the latter is convex, so is its conjugate, resulting in a simple fold
caustic. The uniform approximation through this caustic, that is here derived,
describes the transition undergone by the overlap of the state with its
translation, from an oscillatory regime for small chords, to evanescent
overlaps, rising to a maximum near the caustic. The diameter-caustic for the
Wigner function is also treated.
| quant-ph | the semiclassical wigner function for a bohrquantized energy eigenstate is known to have a caustic along the corresponding classical closed phase space curve in the case of a single degree of freedom its fourier transform the semiclassical chord function also has a caustic along the conjugate curve defined as the locus of diameters ie the maximal chords of the original curve if the latter is convex so is its conjugate resulting in a simple fold caustic the uniform approximation through this caustic that is here derived describes the transition undergone by the overlap of the state with its translation from an oscillatory regime for small chords to evanescent overlaps rising to a maximum near the caustic the diametercaustic for the wigner function is also treated | [['the', 'semiclassical', 'wigner', 'function', 'for', 'a', 'bohrquantized', 'energy', 'eigenstate', 'is', 'known', 'to', 'have', 'a', 'caustic', 'along', 'the', 'corresponding', 'classical', 'closed', 'phase', 'space', 'curve', 'in', 'the', 'case', 'of', 'a', 'single', 'degree', 'of', 'freedom', 'its', 'fourier', 'transform', 'the', 'semiclassical', 'chord', 'function', 'also', 'has', 'a', 'caustic', 'along', 'the', 'conjugate', 'curve', 'defined', 'as', 'the', 'locus', 'of', 'diameters', 'ie', 'the', 'maximal', 'chords', 'of', 'the', 'original', 'curve', 'if', 'the', 'latter', 'is', 'convex', 'so', 'is', 'its', 'conjugate', 'resulting', 'in', 'a', 'simple', 'fold', 'caustic', 'the', 'uniform', 'approximation', 'through', 'this', 'caustic', 'that', 'is', 'here', 'derived', 'describes', 'the', 'transition', 'undergone', 'by', 'the', 'overlap', 'of', 'the', 'state', 'with', 'its', 'translation', 'from', 'an', 'oscillatory', 'regime', 'for', 'small', 'chords', 'to', 'evanescent', 'overlaps', 'rising', 'to', 'a', 'maximum', 'near', 'the', 'caustic', 'the', 'diametercaustic', 'for', 'the', 'wigner', 'function', 'is', 'also', 'treated']] | [-0.14552859495949722, 0.1237267534279747, -0.1439252209571761, 0.08104144729628798, -0.0754216410418702, -0.08167992893140763, 0.04145960697355951, 0.34354681780021035, -0.30405301290504155, -0.20489679787856258, 0.0517606197381317, -0.27867076869663454, -0.1488825803483656, 0.18987686881014415, -0.07330344550052448, 0.06306563480616352, 0.04172466538148001, 0.10162882972884202, -0.14318208900963766, -0.19344679756660857, 0.3161214824104982, 0.0063236807022363905, 0.22061592889311274, 0.013469763918809833, 0.11983049138929815, 0.04722720934566291, 0.06165248875866734, -0.023474210400308948, -0.1355878491719904, 0.07372425644538336, 0.18787069847401713, 0.10908159639896645, 0.21500148700415006, -0.34217700435810033, -0.1898167131416079, 0.11322996225264374, 0.18161038971494795, 0.07872349265286879, -0.01725997741995079, -0.2428241013230065, 0.05458664216454171, -0.11186204611001285, -0.2316750488807297, 0.002215321502468038, 0.039390108457976775, 0.029876080912447745, -0.19538458744664827, 0.08147421088811356, 0.06355188388354896, 0.0649243890187673, -0.0008989410698338742, -0.073105531316551, -0.06647066889901555, 0.08839602055658977, 0.017066864948344206, 0.10630579006430062, 0.09754065470957768, -0.1029515225691871, -0.05585443304904226, 0.3694078333735947, -0.0682674708415664, -0.21698743675745302, 0.09796823225464792, -0.175587887227002, -0.04909629603066752, 0.20301848327395536, 0.09971136852888571, 0.11375201378588475, -0.11484734270150863, 0.10623420156057804, -0.04835556946214168, 0.1305627297673885, 0.11537665781384755, -0.020892515234018284, 0.22930849859521032, 0.09816166393471987, 0.08610982967037407, 0.17599309533186663, -0.1324174965453905, -0.12509074530774547, -0.3206689465235198, -0.16527615803774567, -0.23246243775581882, 0.014218254322786965, -0.109019557423439, -0.24016391629383207, 0.45367769178588907, 0.007111064202035777, 0.2300848221376298, 0.06633764433096193, 0.32547044903866107, 0.1890367598774197, 0.07173181111284066, 0.056933465470079214, 0.2599566836931532, 0.14544039993216434, 0.025070762656058274, -0.23086660472871434, 0.035178954619163226, 0.07937820700387802] |
711.3402 | Thread-wire surfaces: Near-wire minimizers and topological finiteness
(superseded) | (NOTE: per referee comments, this article has been split; it is now
superseded by "Existence of thread-wire minimizers" and "Near-wire thread-wire
minimizers"; please see http://www.bkstephens.net.) Alt's thread problem asks
for least-area surfaces bounding a fixed "wire" curve and a movable "thread"
curve of length L. We conjecture that if the wire has finitely many maxima of
curvature, then its Alt minimizers have finitely many surface components. We
show that this conjecture reduces to controlling near-wire minimizers, and thus
begin a three paper series to understand them. In this paper we show they
arise, show that they are embedded, and show that they have a nice
parametrization in wire exponential coordinates. In doing so we prove tools of
independent interest: a weighted isoperimetric inequality, a nonconvex
enclosure theorem, and a classification of how Alt minimizers intersect planes.
The last item reduces to a question about harmonic functions in the spirit of
Rado's lemma.
| math.AP math.DG | note per referee comments this article has been split it is now superseded by existence of threadwire minimizers and nearwire threadwire minimizers please see httpwwwbkstephensnet alts thread problem asks for leastarea surfaces bounding a fixed wire curve and a movable thread curve of length l we conjecture that if the wire has finitely many maxima of curvature then its alt minimizers have finitely many surface components we show that this conjecture reduces to controlling nearwire minimizers and thus begin a three paper series to understand them in this paper we show they arise show that they are embedded and show that they have a nice parametrization in wire exponential coordinates in doing so we prove tools of independent interest a weighted isoperimetric inequality a nonconvex enclosure theorem and a classification of how alt minimizers intersect planes the last item reduces to a question about harmonic functions in the spirit of rados lemma | [['note', 'per', 'referee', 'comments', 'this', 'article', 'has', 'been', 'split', 'it', 'is', 'now', 'superseded', 'by', 'existence', 'of', 'threadwire', 'minimizers', 'and', 'nearwire', 'threadwire', 'minimizers', 'please', 'see', 'httpwwwbkstephensnet', 'alts', 'thread', 'problem', 'asks', 'for', 'leastarea', 'surfaces', 'bounding', 'a', 'fixed', 'wire', 'curve', 'and', 'a', 'movable', 'thread', 'curve', 'of', 'length', 'l', 'we', 'conjecture', 'that', 'if', 'the', 'wire', 'has', 'finitely', 'many', 'maxima', 'of', 'curvature', 'then', 'its', 'alt', 'minimizers', 'have', 'finitely', 'many', 'surface', 'components', 'we', 'show', 'that', 'this', 'conjecture', 'reduces', 'to', 'controlling', 'nearwire', 'minimizers', 'and', 'thus', 'begin', 'a', 'three', 'paper', 'series', 'to', 'understand', 'them', 'in', 'this', 'paper', 'we', 'show', 'they', 'arise', 'show', 'that', 'they', 'are', 'embedded', 'and', 'show', 'that', 'they', 'have', 'a', 'nice', 'parametrization', 'in', 'wire', 'exponential', 'coordinates', 'in', 'doing', 'so', 'we', 'prove', 'tools', 'of', 'independent', 'interest', 'a', 'weighted', 'isoperimetric', 'inequality', 'a', 'nonconvex', 'enclosure', 'theorem', 'and', 'a', 'classification', 'of', 'how', 'alt', 'minimizers', 'intersect', 'planes', 'the', 'last', 'item', 'reduces', 'to', 'a', 'question', 'about', 'harmonic', 'functions', 'in', 'the', 'spirit', 'of', 'rados', 'lemma']] | [-0.15834230474722225, 0.07300266329211746, -0.12807909744398885, 0.1080796685034954, -0.07958156214615165, -0.18434460843172001, 0.04006819022331564, 0.37156693544238806, -0.304719473143444, -0.2751804489553684, 0.08717016050632949, -0.3017447217934619, -0.16209123765758307, 0.17617667599606524, -0.15649102771413975, 0.03908051526986481, 0.10664130966685915, 0.011086320080065808, -0.056573380601313596, -0.33651715949681416, 0.29003545140125314, -0.056264252633135135, 0.2131227289380341, 0.13227202842442864, 0.09315036611352749, 0.031034892548483854, 0.007012499550192737, 0.040841765438846385, -0.2042622083006506, 0.13527946600208984, 0.2856499837572072, 0.11066629912669186, 0.3285112239081463, -0.4154402941946878, -0.17387159211405864, 0.17649907646003832, 0.16898972925977135, 0.06133603776621373, -0.010758851463177881, -0.20292172747265017, 0.12481656197544035, -0.12633747458743044, -0.17324158048802088, -0.049970679824576286, 0.06488625284563117, 0.035759522905890025, -0.17457905731664425, 0.028169420737849206, 0.14800429999270812, 0.07852557280930836, -0.042609976589534, -0.07023673614195618, -0.009380516209671286, 0.059002797257117164, 0.10364902903465237, 0.0515813509819611, 0.11221411813772758, -0.06889108366801777, -0.08270422158585418, 0.3291992908723804, -0.016037111246616255, -0.22888870676662645, 0.12038122971390126, -0.114855264139292, -0.1621297918494512, 0.09596192215562982, 0.1331804562898568, 0.12933451209223645, -0.11670512496335368, 0.14603640948585392, -0.14315270193453347, 0.13201367380778578, 0.17116449387794752, -0.027860890212310415, 0.1604642344790758, 0.08220472471506594, 0.1374991663899823, 0.14799450867378539, -0.008144009098304487, -0.03095359042711353, -0.32683921261962984, -0.1996049566517527, -0.17655563392188578, 0.07246307440444219, -0.030124895882354827, -0.17643008073696828, 0.3703287733072529, 0.09356077145119863, 0.17559196299486826, 0.09196289390528282, 0.2179214993783203, 0.06904657838904128, 0.046092786810354516, 0.1045073557584796, 0.19629238901099944, 0.13290922116206288, 0.05685911618717978, -0.10295456951027926, 0.003300832644687826, 0.12699867343707455] |
711.3403 | On the a priori estimates for the Euler, the Navier-Stokes and the
quasi-geostrophic equations | We prove new \emph{a priori} estimates for the 3D Euler, the 3D Navier-Stokes
and the 2D quasi-geostrophic equations by the method of similarity transforms.
| math.AP | we prove new empha priori estimates for the 3d euler the 3d navierstokes and the 2d quasigeostrophic equations by the method of similarity transforms | [['we', 'prove', 'new', 'empha', 'priori', 'estimates', 'for', 'the', '3d', 'euler', 'the', '3d', 'navierstokes', 'and', 'the', '2d', 'quasigeostrophic', 'equations', 'by', 'the', 'method', 'of', 'similarity', 'transforms']] | [-0.078016897275423, -0.011532433913089335, -0.07845162442633107, 0.10738917723453294, -0.11693440536813189, -0.12879992229864, -0.05347456969320774, 0.234751901589334, -0.30757153321367997, -0.28764016809873283, 0.08621285364885505, -0.2770135446044151, -0.1672333450987935, 0.19773324214232466, -0.0686039401916787, 0.25994411172966164, 0.11938782525248826, -0.06408795597963035, -0.1960058978681142, -0.14332061053331321, 0.4271970088593662, -0.09361534895530592, 0.2902544326304148, -0.05623008217662573, 0.1856264031957835, -0.09702731374030311, -0.03492378443479538, -0.023049893012891214, -0.2611070534524818, 0.1461972470084826, 0.13290714736407003, 0.03171793483003663, 0.25088198110461235, -0.4957026944806178, -0.29660672675042105, -0.015773100041163463, 0.16291699325665832, 0.13898182299453765, -0.08498613025100592, -0.4069444223617514, 0.1219039789090554, -0.046604190254583955, -0.15961787385943657, -0.10207934014033526, -0.036823314148932695, 0.10672299331054091, -0.32398691214621067, 0.14389452227624133, 0.11958014590588088, 0.07043992693070322, -0.20174719051768383, -0.07848422328243032, -0.06010087851124505, 0.1182680254181226, -0.0014961040190731485, 0.007917955595379075, -0.027350824306874227, -0.1924223216531876, 0.0009960540919564664, 0.40160880517214537, -0.06694180937483907, -0.4217674665463467, 0.11989346565678716, -0.08492631013117109, -0.06768672455412646, 0.17428041451300183, 0.18463047469655672, 0.16619541802598783, -0.1164686525783812, 0.07672902772659047, -0.14275053791546574, 0.13019636444126567, 0.017402231499242287, -0.13973581131237248, 0.07937119482085109, 0.12890364144307873, 0.11952865125689034, 0.06524268455298927, -0.1714575650015225, -0.06009810788479323, -0.30653372686356306, -0.3057355914885799, -0.24006869411095977, 0.05775533321624001, -0.17498791380724774, -0.2535258320470651, 0.373005005531013, 0.20119028041760126, 0.0843261710057656, 0.12005035505474855, 0.3060778461707135, 0.1775071518495679, -0.028211149115425844, 0.14269278450713804, 0.21293161429154375, 0.13180911770905368, 0.15950818049410978, -0.1839177383420368, 0.041961202572565526, 0.38561570731690153] |
711.3404 | The Ising model and planar N=4 Yang-Mills | The scattering-matrix for planar Yang-Mills with N=4 supersymmetry relies on
the assumption that integrability holds to all orders in perturbation theory.
In this note we define a map from the spectral variables x^{\pm},
parameterizing the long-range magnon momenta, to couplings in a two-dimensional
Ising model. Under this map integrability of planar N=4 Yang-Mills becomes
equivalent to the Yang-Baxter equation for the two-dimensional Ising model, and
the long-range variables x^{\pm} translate into the entries of the Ising
transfer matrices. We explore the Ising correlation length which equals the
inverse magnon momentum in the small momentum limit. The critical regime is
thus reached for vanishing magnon momentum. We also discuss the meaning of the
Kramers-Wannier duality transformation on the gauge theory, together with that
of the Ising model critical points.
| hep-th | the scatteringmatrix for planar yangmills with n4 supersymmetry relies on the assumption that integrability holds to all orders in perturbation theory in this note we define a map from the spectral variables xpm parameterizing the longrange magnon momenta to couplings in a twodimensional ising model under this map integrability of planar n4 yangmills becomes equivalent to the yangbaxter equation for the twodimensional ising model and the longrange variables xpm translate into the entries of the ising transfer matrices we explore the ising correlation length which equals the inverse magnon momentum in the small momentum limit the critical regime is thus reached for vanishing magnon momentum we also discuss the meaning of the kramerswannier duality transformation on the gauge theory together with that of the ising model critical points | [['the', 'scatteringmatrix', 'for', 'planar', 'yangmills', 'with', 'n4', 'supersymmetry', 'relies', 'on', 'the', 'assumption', 'that', 'integrability', 'holds', 'to', 'all', 'orders', 'in', 'perturbation', 'theory', 'in', 'this', 'note', 'we', 'define', 'a', 'map', 'from', 'the', 'spectral', 'variables', 'xpm', 'parameterizing', 'the', 'longrange', 'magnon', 'momenta', 'to', 'couplings', 'in', 'a', 'twodimensional', 'ising', 'model', 'under', 'this', 'map', 'integrability', 'of', 'planar', 'n4', 'yangmills', 'becomes', 'equivalent', 'to', 'the', 'yangbaxter', 'equation', 'for', 'the', 'twodimensional', 'ising', 'model', 'and', 'the', 'longrange', 'variables', 'xpm', 'translate', 'into', 'the', 'entries', 'of', 'the', 'ising', 'transfer', 'matrices', 'we', 'explore', 'the', 'ising', 'correlation', 'length', 'which', 'equals', 'the', 'inverse', 'magnon', 'momentum', 'in', 'the', 'small', 'momentum', 'limit', 'the', 'critical', 'regime', 'is', 'thus', 'reached', 'for', 'vanishing', 'magnon', 'momentum', 'we', 'also', 'discuss', 'the', 'meaning', 'of', 'the', 'kramerswannier', 'duality', 'transformation', 'on', 'the', 'gauge', 'theory', 'together', 'with', 'that', 'of', 'the', 'ising', 'model', 'critical', 'points']] | [-0.1668186434526433, 0.18615778899402358, -0.06320874791708775, 0.09078937777940155, -0.05612938590275007, -0.14037607782665873, 0.0024471006613566715, 0.3184150543238502, -0.24261064747406635, -0.1936530393322755, 0.035352619417608366, -0.30243310875084717, -0.1471383038442582, 0.10727980782576196, 0.022173768953507533, 0.06454028124062461, -0.00774037782321102, 0.02679053431893408, -0.14180776176726795, -0.22571916438027984, 0.3370634831226198, -0.03753866473562084, 0.290092759350955, 0.06095714447064893, 0.1563536176327034, 0.08682540339577827, 0.08102078185766004, -0.029809532438775932, -0.1617436273633075, 0.08879241808108418, 0.19760462519479915, -0.03892189009638969, 0.13034605264147103, -0.39800686374655925, -0.1981557665640139, 0.11398118464785512, 0.15752438891740894, 0.15056318484039366, 0.04886975640692981, -0.2565397080325056, 0.03290973653020046, -0.14349189255699457, -0.15515527047045907, -0.07660006091464311, 0.021462074964802014, -0.036011619224154856, -0.28429680300178006, 0.10419475857983684, 0.11513355659008084, 0.0743423420281033, -0.04912754896940896, -0.07725847862457158, -0.07347951696283417, 0.06861872512672562, 0.07922330575001979, 0.0751299012445088, 0.07229390052816598, -0.1877504205367586, -0.12366268323194163, 0.3418140396097442, -0.04494305577100022, -0.23683822707971558, 0.1397410519202822, -0.17445061671969597, -0.16747398720690398, 0.088824568221753, 0.11466711635512183, 0.06655324131861562, -0.1313340916967718, 0.21357494356880125, -0.060333199144224636, 0.16836957852501655, 0.049966812308412045, 0.02617428000030486, 0.21472466138220625, 0.1083057913074299, 0.06376029638704495, 0.20437679775932338, -0.04165042082445325, -0.16867427983038397, -0.3556148337684135, -0.13594417139393045, -0.20761499391755933, 0.11352456672170774, -0.16515058767242863, -0.18729162085583084, 0.3933702710128273, 0.21424397307055187, 0.19825646565732313, 0.09005922440064751, 0.2050061392637872, 0.18396849828059203, 0.06920673481727135, 0.06475540296014515, 0.2317592490617244, 0.2168496208587385, 0.10180483191652456, -0.2644569756321289, -0.08022959107074712, 0.19787867814011406] |
711.3405 | On the generation of the coefficient field of a newform by a single
Hecke eigenvalue | Let f be a non-CM newform of weight k > 1.
Let L be a subfield of the coefficient field of f.
We completely settle the question of the density of the set of primes p such
that the p-th coefficient of f generates the field L. This density is
determined by the inner twists of f. As a particular case, we obtain that in
the absence of non-trivial inner twists, the density is 1 for L equal to the
whole coefficient field. We also present some new data on reducibility of Hecke
polynomials, which suggest questions for further investigation.
| math.NT | let f be a noncm newform of weight k 1 let l be a subfield of the coefficient field of f we completely settle the question of the density of the set of primes p such that the pth coefficient of f generates the field l this density is determined by the inner twists of f as a particular case we obtain that in the absence of nontrivial inner twists the density is 1 for l equal to the whole coefficient field we also present some new data on reducibility of hecke polynomials which suggest questions for further investigation | [['let', 'f', 'be', 'a', 'noncm', 'newform', 'of', 'weight', 'k', '1', 'let', 'l', 'be', 'a', 'subfield', 'of', 'the', 'coefficient', 'field', 'of', 'f', 'we', 'completely', 'settle', 'the', 'question', 'of', 'the', 'density', 'of', 'the', 'set', 'of', 'primes', 'p', 'such', 'that', 'the', 'pth', 'coefficient', 'of', 'f', 'generates', 'the', 'field', 'l', 'this', 'density', 'is', 'determined', 'by', 'the', 'inner', 'twists', 'of', 'f', 'as', 'a', 'particular', 'case', 'we', 'obtain', 'that', 'in', 'the', 'absence', 'of', 'nontrivial', 'inner', 'twists', 'the', 'density', 'is', '1', 'for', 'l', 'equal', 'to', 'the', 'whole', 'coefficient', 'field', 'we', 'also', 'present', 'some', 'new', 'data', 'on', 'reducibility', 'of', 'hecke', 'polynomials', 'which', 'suggest', 'questions', 'for', 'further', 'investigation']] | [-0.23349195768623943, 0.11132757370877597, -0.08725487454229909, -0.012315233933005595, -0.07790727689485959, -0.10802289667172414, 0.008910231901370365, 0.26920493554107544, -0.32950097197346917, -0.25915318798988757, 0.056126897499633184, -0.2408799384955806, -0.10455085080974816, 0.20409132995539242, -0.04119638324658753, -0.012452540345339462, 0.011021283069493794, 0.12704120384002424, -0.0756272398960786, -0.29042978731520247, 0.3831488190576284, 0.006933237995124525, 0.1470868775639871, 0.04619984281710302, 0.04028776848354763, -0.003649944919302608, 0.021554652876643973, -0.022220420872209348, -0.20317878310331686, 0.12906636657061601, 0.28290977970593506, 0.09303017246602761, 0.2924644975273898, -0.34637113558975136, -0.16763780188201127, 0.18098861234958727, 0.1359672869809649, -0.05080850927201523, -0.009256963210058106, -0.20915459588198274, 0.1448725696501435, -0.13507947864391925, -0.17807280268482487, -0.06515586327272233, 0.1114109563253199, 0.017301788628853933, -0.32774700774020993, 0.061169937085724824, 0.1314149745975179, 0.13401565238871058, -0.047330171088546966, -0.18938308209180832, -0.02156814425064232, 0.06654359370639379, 0.03649573831000563, 0.09773209859438316, 0.0985109077935869, -0.13920899258333852, -0.04877066987271496, 0.3310416331420643, -0.09522146690222952, -0.17629801901145556, 0.07736222148223808, -0.2301465102019861, -0.10862292044542053, 0.1196867124920692, 0.12582975139164113, 0.1326301498526726, -0.0291958006493973, 0.19382414252337332, -0.15207740113332002, 0.13729974232388265, 0.09292785262670179, -0.04224353570566334, 0.17754659774440407, 0.019892596525629285, 0.08746382459113845, 0.15491671468168874, -0.052756143604508705, 0.06203112227729324, -0.35811322931237893, -0.19482777426207457, -0.17797203688421334, 0.14312195388901264, -0.0840713909046367, -0.15714184635652775, 0.4212355901195545, 0.11253545942217713, 0.23037075806841856, 0.08234588859362924, 0.19022735648534514, 0.14352648762878467, 0.06736262560342297, 0.08922626770506001, 0.09698753052942614, 0.20145071458043248, -0.044069506862962786, -0.209173404505815, 0.006214593644453815, 0.09757650878534398] |
711.3406 | Ultra-cold dipolar gases | We present a concise review of the physics of ultra-cold dipolar gases, based
mainly on the theoretical developments in our own group. First, we discuss
shortly weakly interacting ultra-cold trapped dipolar gases. Dipolar
Bose-Einstein condensates exhibit non-standard instabilities and the physics of
both Bose and Fermi dipolar gases depends on the trap geometry. We focus then
the second part of the paper on strongly correlated dipolar gases and discuss
ultra-cold dipolar gases in optical lattices. Such gases exhibit a spectacular
richness of quantum phases and metastable states, which may perhaps be used as
quantum memories. We comment shortly on the possibility of superchemistry
aiming at the creation of dipolar heteronuclear molecules in lattices. Finally,
we turn to ultra-cold dipolar gases in artificial magnetic fields, and consider
rotating dipolar gases, that provide in our opinion the best option towards the
realization of the fractional quantum Hall effect and quantum Wigner crystals.
| cond-mat.other | we present a concise review of the physics of ultracold dipolar gases based mainly on the theoretical developments in our own group first we discuss shortly weakly interacting ultracold trapped dipolar gases dipolar boseeinstein condensates exhibit nonstandard instabilities and the physics of both bose and fermi dipolar gases depends on the trap geometry we focus then the second part of the paper on strongly correlated dipolar gases and discuss ultracold dipolar gases in optical lattices such gases exhibit a spectacular richness of quantum phases and metastable states which may perhaps be used as quantum memories we comment shortly on the possibility of superchemistry aiming at the creation of dipolar heteronuclear molecules in lattices finally we turn to ultracold dipolar gases in artificial magnetic fields and consider rotating dipolar gases that provide in our opinion the best option towards the realization of the fractional quantum hall effect and quantum wigner crystals | [['we', 'present', 'a', 'concise', 'review', 'of', 'the', 'physics', 'of', 'ultracold', 'dipolar', 'gases', 'based', 'mainly', 'on', 'the', 'theoretical', 'developments', 'in', 'our', 'own', 'group', 'first', 'we', 'discuss', 'shortly', 'weakly', 'interacting', 'ultracold', 'trapped', 'dipolar', 'gases', 'dipolar', 'boseeinstein', 'condensates', 'exhibit', 'nonstandard', 'instabilities', 'and', 'the', 'physics', 'of', 'both', 'bose', 'and', 'fermi', 'dipolar', 'gases', 'depends', 'on', 'the', 'trap', 'geometry', 'we', 'focus', 'then', 'the', 'second', 'part', 'of', 'the', 'paper', 'on', 'strongly', 'correlated', 'dipolar', 'gases', 'and', 'discuss', 'ultracold', 'dipolar', 'gases', 'in', 'optical', 'lattices', 'such', 'gases', 'exhibit', 'a', 'spectacular', 'richness', 'of', 'quantum', 'phases', 'and', 'metastable', 'states', 'which', 'may', 'perhaps', 'be', 'used', 'as', 'quantum', 'memories', 'we', 'comment', 'shortly', 'on', 'the', 'possibility', 'of', 'superchemistry', 'aiming', 'at', 'the', 'creation', 'of', 'dipolar', 'heteronuclear', 'molecules', 'in', 'lattices', 'finally', 'we', 'turn', 'to', 'ultracold', 'dipolar', 'gases', 'in', 'artificial', 'magnetic', 'fields', 'and', 'consider', 'rotating', 'dipolar', 'gases', 'that', 'provide', 'in', 'our', 'opinion', 'the', 'best', 'option', 'towards', 'the', 'realization', 'of', 'the', 'fractional', 'quantum', 'hall', 'effect', 'and', 'quantum', 'wigner', 'crystals']] | [-0.1608006683984559, 0.28101717162527295, -0.033267055088091614, 0.043111903999225806, -0.0028083698047425025, -0.17469444647806404, 0.03699415829110791, 0.3620619932189584, -0.19794611115908664, -0.20425872810985019, 0.005114626052676882, -0.2814050964814229, -0.12499595388157556, 0.2127749375995458, 0.04449400182421725, 0.04319638873281695, 0.011530896636263636, -0.03637064946639577, -0.05741277397547742, -0.31744885052266786, 0.3329983954505382, 0.06048399406866539, 0.2731927805877097, 0.12908259018335255, 0.05808197856011907, -0.00939166646657024, 0.06597733922183964, -0.07111819000327146, -0.175071245436207, 0.11899181529559233, 0.2140954074843618, -0.07459735444703158, 0.19417667601432576, -0.5262315834328632, -0.20276367232272238, 0.09945205135908503, 0.17695319308624322, 0.22931194327218496, -0.09858896279935694, -0.34590951506761, -0.1743303339650242, -0.19650987153185295, -0.17308457617354173, -0.1686717526512158, 0.018811075298128112, 0.07355836952056723, -0.16025598487510478, 0.07313422439932424, 0.11587694709286118, 0.140992134148505, -0.08884166271563294, -0.09834171973962662, 0.09737158330757446, -0.012522540005211462, -0.05926783588924289, -0.0027413462388685486, 0.18204380337058274, -0.2197616898560984, -0.13812606333873717, 0.4617187595682456, -0.14571333672240339, -0.1076079681968854, 0.27031042434481417, -0.19413818340077013, -0.11104583780237492, 0.08663841516979588, 0.2096183692548899, 0.056489351536803595, -0.09526640448669259, 0.06599626533496475, -0.09684195119462558, 0.13090215815737494, 0.03452996433956311, 0.12009833949061748, 0.3884854879692797, 0.1735663225455522, -0.014464548876471568, 0.1869165059265012, -0.10736803784528935, -0.15185832511555503, -0.2248325370683416, -0.1965080274412746, -0.2348997527655314, 0.025632256829498597, 0.024695296534891834, -0.16501748355593057, 0.33858684934800704, 0.17384479987753818, 0.14676919491999102, -0.08102026214313712, 0.2397284046715538, 0.06840905532218991, -0.03780595075429711, 0.002073628799802305, 0.2782496942782262, 0.18163642479144287, 0.08921018152828984, -0.3109755107944272, -0.03989389695105262, 0.06202613088089798] |
711.3407 | Expansion schemes for gravitational clustering: computing two-point and
three-point functions | We describe various expansion schemes that can be used to study gravitational
clustering. Obtained from the equations of motion or their path-integral
formulation, they provide several perturbative expansions that are organized in
different fashion or involve different partial resummations. We focus on the
two-point and three-point correlation functions, but these methods also apply
to all higher-order correlation and response functions. We present the general
formalism, which holds for the gravitational dynamics as well as for similar
models, such as the Zeldovich dynamics, that obey similar hydrodynamical
equations of motion with a quadratic nonlinearity. We give our explicit
analytical results up to one-loop order for the simpler Zeldovich dynamics. For
the gravitational dynamics, we compare our one-loop numerical results with
numerical simulations. We check that the standard perturbation theory is
recovered from the path integral by expanding over Feynman's diagrams. However,
the latter expansion is organized in a different fashion and it contains some
UV divergences that cancel out as we sum all diagrams of a given order.
Resummation schemes modify the scaling of tree and one-loop diagrams, which
exhibit the same scaling over the linear power spectrum (contrary to the
standard expansion). However, they do not significantly improve over standard
perturbation theory for the bispectrum, unless one uses accurate two-point
functions (e.g. a fit to the nonlinear power spectrum from simulations).
Extending the range of validity to smaller scales, to reach the range described
by phenomenological models, seems to require at least two-loop diagrams.
| astro-ph | we describe various expansion schemes that can be used to study gravitational clustering obtained from the equations of motion or their pathintegral formulation they provide several perturbative expansions that are organized in different fashion or involve different partial resummations we focus on the twopoint and threepoint correlation functions but these methods also apply to all higherorder correlation and response functions we present the general formalism which holds for the gravitational dynamics as well as for similar models such as the zeldovich dynamics that obey similar hydrodynamical equations of motion with a quadratic nonlinearity we give our explicit analytical results up to oneloop order for the simpler zeldovich dynamics for the gravitational dynamics we compare our oneloop numerical results with numerical simulations we check that the standard perturbation theory is recovered from the path integral by expanding over feynmans diagrams however the latter expansion is organized in a different fashion and it contains some uv divergences that cancel out as we sum all diagrams of a given order resummation schemes modify the scaling of tree and oneloop diagrams which exhibit the same scaling over the linear power spectrum contrary to the standard expansion however they do not significantly improve over standard perturbation theory for the bispectrum unless one uses accurate twopoint functions eg a fit to the nonlinear power spectrum from simulations extending the range of validity to smaller scales to reach the range described by phenomenological models seems to require at least twoloop diagrams | [['we', 'describe', 'various', 'expansion', 'schemes', 'that', 'can', 'be', 'used', 'to', 'study', 'gravitational', 'clustering', 'obtained', 'from', 'the', 'equations', 'of', 'motion', 'or', 'their', 'pathintegral', 'formulation', 'they', 'provide', 'several', 'perturbative', 'expansions', 'that', 'are', 'organized', 'in', 'different', 'fashion', 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