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chao-dyn/9505004
Optimized Periodic Control of Chaotic Systems
In this work, we demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to reduce control power significantly in comparison to simple harmonic perturbations. It is found that the stabilized periodic dynamics can be changed by small, specific alter...
1995-05-09
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Robert Mettin (IAP, TH Darmstadt, Germany), and Thomas Kurz (3.Phys.Inst., Universit\"at G\"ottingen, Germany)
chao-dyn/9505003
The Schroedinger Problem, Levy Processes Noise in Relativistic Quantum Mechanics
The main purpose of the paper is an essentially probabilistic analysis of relativistic quantum mechanics. It is based on the assumption that whenever probability distributions arise, there exists a stochastic process that is either responsible for temporal evolution of a given measure or preserves the measure in the st...
1995-05-09
2008-02-03
[ "chao-dyn", "nlin.CD" ]
P. Garbaczewski, J. R. Klauder, R. Olkiewicz
chao-dyn/9505002
Signatures of Classical Periodic Orbits on a Smooth Quantum System
Gutzwiller's trace formula and Bogomolny's formula are applied to a non--specific, non--scalable Hamiltonian system, a two--dimensional anharmonic oscillator. These semiclassical theories reproduce well the exact quantal results over a large spatial and energy range.
1995-05-08
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Daniel Provost (Laurentian University)
chao-dyn/9505001
Pitch Perception of Complex Sounds: Nonlinearity Revisited
The ability of the auditory system to perceive the fundamental frequency of a sound even when this frequency is removed from the stimulus is an interesting phenomenon related to the pitch of complex sounds. This capability is known as ``residue'' or ``virtual pitch'' perception and was first reported last century in th...
1995-05-05
2012-07-24
[ "chao-dyn", "nlin.CD", "physics.bio-ph", "q-bio.NC" ]
D.L. Gonzalez, L. Morettini, F. Sportolari (Sezione di Cinematografia Scientifica, Istituto Lamel, CNR, Bologna, Italy), O. Rosso (Centro de Calculo, Universidad de Buenos Aires, Buenos Aires, Argentina) J.H.E. Cartwright and O. Piro (Departament de Fisica, Universitat de les Illes Balears, Palma de Mallorca, S...
chao-dyn/9504017
Magnetic Field Effect in a Two-dimensional Array of Short Josephson Junctions
We study analytically the effect of a constant magnetic field on the dynamics of a two dimensional Josephson array. The magnetic field induces spatially dependent states and coupling between rows, even in the absence of an external load. Numerical simulations support these conclusions.
1995-05-03
2009-10-28
[ "chao-dyn", "cond-mat", "nlin.CD" ]
G.Filatrella (Department of Physics, University of Salerno, I-84081 Baronissi (SA), Italy) and K. Wiesenfeld (School of Physics, Georgia Institute of Technology, Atlanta, Georgia, USA 30332)
chao-dyn/9504016
ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS
A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of fronts separating different phases. A condition for the evolution to be controlled by nonlinear mechanisms is derived on the basis of this relationship. An approximate expression for the nonlinea...
1995-05-02
2009-10-28
[ "chao-dyn", "nlin.CD" ]
A. Torcini, P. Grassberger (BUGH Wuppertal - Germany), A. Politi (INO and INFN - Firenze - Italy)
chao-dyn/9504014
Chaotic Scattering Theory, Thermodynamic Formalism, and Transport Coefficients
The foundations of the chaotic scattering theory for transport and reaction-rate coefficients for classical many-body systems are considered here in some detail. The thermodynamic formalism of Sinai, Bowen, and Ruelle is employed to obtain an expression for the escape-rate for a phase space trajectory to leave a finite...
1995-04-25
2009-10-28
[ "chao-dyn", "nlin.CD" ]
P. Gaspard (Faculty of Science and Center for Nonlinear Phenomena and Comples Systems, ULB, Brussels), and J. R. Dorfman (I.P.S.T., University of Maryland, College Park).
chao-dyn/9504015
High Temperature Expansions and Dynamical Systems
We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the Gibbs state and exponential decay of the correlation functions. Then, we apply this expansion to the Perron-Frobenius opera...
1995-04-25
2009-10-28
[ "chao-dyn", "nlin.CD" ]
J.Bricmont (UCL, Physique Th\'eorique, B-1348, Louvain-la-Neuve, Belgium) A.Kupiainen (Helsinki University, Department of Mathematics, Helsinki 00014, Finland)
chao-dyn/9504013
Experimental studies of Chaos and Localization in Quantum Wavefunctions
Wavefunctions in chaotic and disordered quantum billiards are studied experimentally using thin microwave cavities. The chaotic wavefunctions display universal density distributions and density auto-correlations in agreement with expressions derived fro m a 0-D nonlinear $\sigma $-model of supersymmetry, which coincide...
1995-04-21
2016-08-31
[ "chao-dyn", "nlin.CD" ]
A.Kudrolli, V.Kidambi and S.Sridhar (Department of Physics, Northeastern University, Boston, MA 02115.)
chao-dyn/9504012
Chaotic advection in three-dimensional unsteady incompressible laminar flow
We discuss chaotic advection in three-dimensional unsteady incompressible laminar flow, and analyse in detail the most important novel advection phenomenon in these flows; the global dispersion of passive scalars in flows with two slow and one fast velocity components. We make a comprehensive study of the first model o...
1995-04-18
2016-08-15
[ "chao-dyn", "nlin.CD", "physics.flu-dyn" ]
Julyan H. E. Cartwright(1), Mario Feingold(2) and Oreste Piro(1) ((1)Departament de F\'isica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain. (2)Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel)
chao-dyn/9504011
Bubble Shape Oscillations and the Onset of Sonoluminescence
An air bubble trapped in water by an oscillating acoustic field undergoes either radial or nonspherical pulsations depending on the strength of the forcing pressure. Two different instability mechanisms (the Rayleigh--Taylor instability and parametric instability) cause deviations from sphericity. Distinguishing these ...
1995-04-13
2016-08-31
[ "chao-dyn", "nlin.CD" ]
Michael P. Brenner, Detlef Lohse, and T.F. Dupont (Dept. of Mathematics, The University of Chicago)
chao-dyn/9504009
Transition to nonchaotic behavior in a Brownian-type motion
A theoretical and numerical analysis of the transition from chaotic to nonchaotic behavior in an ensemble of particles with different initial conditions which move according to Newton's equations in a bounding potential and are driven by an identical sequence of random forces (see S. Fahy and D. R. Hamann, Phys. Rev. L...
1995-04-12
2016-08-31
[ "chao-dyn", "nlin.CD" ]
B. Kaulakys and G. Vektaris (Institute of Theoretical Physics and Astronomy, A. Gostauto 12, 2600 Vilnius, Lithuania)
chao-dyn/9504010
Anomalous Scaling in a Model of Passive Scalar Advection: Exact Results
Kraichnan's model of passive scalar advection in which the driving velocity field has fast temporal decorrelation is studied as a case model for understanding the appearance of anomalous scaling in turbulent systems. We demonstrate how the techniques of renormalized perturbation theory lead (after exact resummations) t...
1995-04-12
2016-08-31
[ "chao-dyn", "cond-mat", "nlin.CD" ]
A. Fairhall, O. Gat, V. S. L'vov and I. Procaccia
chao-dyn/9504007
Levy Diffusion and Classes of Universal Parametric Correlations
A general formulation of translationally invariant, parametrically correlated random matrix ensembles, is used to classify universality in correlation functions. Surprisingly, the range of possible physical systems is bounded, and can be labeled by a parameter $\alpha\in (0,2]$, in a manner analogous to L\'evy diffusio...
1995-04-11
2016-08-31
[ "chao-dyn", "cond-mat", "nlin.CD" ]
Dimitri Kusnezov (Yale University) and Caio H. Lewenkopf (University of Washington)
chao-dyn/9504008
Belavkin-Kolkoltsov watch-dog effects in interactively controlled stochastic computer-graphic dynamic systems. A mathematical study
Stochastic properties of the long-time behaviour of a continuously observed (and interactively controlled) quantum-field top are investigated mathematically. Applications to interactively controlled stochastic computer-graphic dynamic systems are discussed.
1995-04-11
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Denis Juriev
chao-dyn/9504006
Collective patterns arising out of spatio-temporal chaos
We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation possesses spatial translational symmetry under a periodic boundary condition. Thus the spatial inhomogeneity of the statistica...
1995-04-10
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Shin-ichi Sasa (Department of Pure and Applied Sciences,College of Arts and Sciences, University of Tokyo,Komaba, Meguro-ku, Tokyo 153, Japan)
chao-dyn/9504005
Chronotopic Lyapunov Analysis: (I) a Comprehensive Characterization of 1D Systems
Instabilities in 1D spatially extended systems are studied with the aid of both temporal and spatial Lyapunov exponents. A suitable representation of the spectra allows a compact description of all the possible disturbances in tangent space. The analysis is carried out for chaotic and periodic spatiotemporal patterns. ...
1995-04-07
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Stefano Lepri (Dipartimento di Fisica, Universita' di Bologna and Istituto Nazionale di Fisica Nucleare, I-40127 Bologna, Italy), Antonio Politi ( Istituto Nazionale di Ottica and Istituto Nazionale di Fisica Nucleare, I-50125 Firenze, Italy), Alessandro Torcini (Theoretische Physik, Bergische Universit\"at-Ges...
chao-dyn/9504004
Basis functions for strongly correlated Fermi systems
A general method to construct basis functions for fermionic systems which account for the $SU(2)$ symmetry and for the translational invariance of the Hamiltonian is presented. The method does not depend on the dimensionality of the system and it appears as a natural generalization of the Bethe Ansatz to the case of no...
1995-04-05
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Mario Salerno (Department of Theoretical Physics, University of Salerno, 84100 Salerno, Italy)
chao-dyn/9504003
Guessing probability distributions from small samples
We propose a new method for the calculation of the statistical properties, as e.g. the entropy, of unknown generators of symbolic sequences. The probability distribution $p(k)$ of the elements $k$ of a population can be approximated by the frequencies $f(k)$ of a sample provided the sample is long enough so that each e...
1995-04-04
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Thorsten P\"oschel, Werner Ebeling, Helge Ros\'e
chao-dyn/9504002
Universality in Turbulence: an Exactly Soluble Model
The present note contains the text of lectures discussing the problem of universality in fully developed turbulence. After a brief description of Kolmogorov's 1941 scaling theory of turbulence and a comparison between the statistical approach to turbulence and field theory, we discuss a simple model of turbulent advect...
1995-04-03
2015-06-24
[ "chao-dyn", "cond-mat", "hep-th", "nlin.CD" ]
Krzysztof Gawedzki and Antti Kupiainen
chao-dyn/9504001
The Source of Irreversibility in Macroscopic Dynamics
The dynamics of irreversible relaxation of non-equilibrium macroscopic systems is discussed. Arguments are developed showing that the general process is supported by two independent successive mechanisms. One is mixing and it follows pure conservative dynamics. It does not lead to thermodynamic equilibrium. The second ...
1995-03-31
2008-02-03
[ "chao-dyn", "nlin.CD" ]
X de Hemptinne (Department of Chemistry, Catholic University of Leuven, Celestijnenlaan 200 F, B-3001 Heverlee, Belgium)
chao-dyn/9503012
On multiplicities in length spectra of arithmetic hyperbolic three-orbifolds
Asymptotic laws for mean multiplicities of lengths of closed geodesics in arithmetic hyperbolic three-orbifolds are derived. The sharpest results are obtained for non-compact orbifolds associated with the Bianchi groups SL(2,o) and some congruence subgroups. Similar results hold for cocompact arithmetic quaternion grou...
1995-03-30
2009-10-28
[ "chao-dyn", "nlin.CD" ]
J. Marklof (II. Institut fuer Theoretische Physik, Universitaet Hamburg)
chao-dyn/9503011
Ionization of Rydberg atoms in a low frequency field: modelling by maps of transition to chaotic behavior
We investigate a microwave ionization of highly excited atom in a low frequency field and show that such a process may be studied on the bases of map for the electron energy change during the period of the electron motion between two subsequent passages at aphelion. Simple approximate criterion results to the threshold...
1995-03-27
2016-08-31
[ "chao-dyn", "nlin.CD", "quant-ph" ]
B. Kaulakys and G. Vilutis (Institute of Theoretical Physics and Astronomy, A. Gostauto 12, 2600 Vilnius, Lithuania)
chao-dyn/9503010
On the Quantum Baker's Map and its Unusual Traces
The quantum baker's map is the quantization of a simple classically chaotic system, and has many generic features that have been studied over the last few years. While there exists a semiclassical theory of this map, a more rigorous study of the same revealed some unexpected features which indicated that correction ter...
1995-03-25
2016-08-31
[ "chao-dyn", "nlin.CD" ]
Arul Lakshminarayan
chao-dyn/9503009
Decoherence, Delocalization and Irreversibility in Quantum Chaotic Systems
Decoherence in quantum systems which are classically chaotic is studied. The Arnold cat map and the quantum kicked rotor are chosen as examples of linear and nonlinear chaotic systems. The Feynman-Vernon influence functional formalism is used to study the effect of the environment on the system. It is well-known that q...
1995-03-23
2009-10-28
[ "chao-dyn", "nlin.CD", "quant-ph" ]
K. Shiokawa, B. L. Hu
chao-dyn/9503008
Quantum Surface of Section Method: Eigenstates and Unitary Quantum Poincare Evolution
The unitary representation of exact quantum Poincare mapping is constructed. It is equivalent to the compact representation in a sense that it yields equivalent quantization condition with important advantage over the compact version: since it preserves the probability it can be literally interpreted as the quantum Poi...
1995-03-22
2015-06-24
[ "chao-dyn", "nlin.CD" ]
Tomaz Prosen (Center for Applied Mathematics and Theoretical Physics University of Maribor, Krekova 2 SLO-62000 Maribor, Slovenia)
chao-dyn/9503007
Lindstedt series and Kolmogorov theorem
The KAM theorem from a combinatorial viewpoint.
1995-03-21
2008-10-08
[ "chao-dyn", "nlin.CD" ]
Giovanni Gallavotti
chao-dyn/9503004
Stochastic Shell Model: a model of anomalous scaling and non-Gaussian distribution in turbulence
We propose a simple stochastic model of cascading transport in wave number space to clarify the origin of intermittent behavior of fully-developed fluid turbulence. In spite of lack of nonlinearity and viscosity the model gives non-Gaussian fluctuations and multifractal scalings consistent with experimental data.
1995-03-17
2008-02-03
[ "chao-dyn", "cond-mat", "nlin.CD" ]
Hideki Takayasu (Graduate School of Information Sciences, Tohoku University, Japan), Y-h. Taguchi (Department of Physics, Tokyo Institute of Technology, Japan) and Tomoo Katsuyama (Department of Physics, Tokyo Metropolitan University, Japan)
chao-dyn/9503005
The entropy of ``strange'' billiards inside n-simplexes
In the present work we investigate a new type of billiards defined inside of $n$--simplex regions. We determine an invariant ergodic (SRB) measure of the dynamics for any dimension. In using symbolic dynamics, the (KS or metric) entropy is computed and we find that the system is chaotic for all cases $n>2$.
1995-03-17
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Thomas Sch\"urmann, Ingo Hoffmann
chao-dyn/9503003
Controlling Neuronal Noise Using Chaos Control
Chaos control techniques have been applied to a wide variety of experimental systems, including magneto-elastic ribbons, lasers, chemical reactions, arrhythmic cardiac tissue, and spontaneously bursting neuronal networks. An underlying assumption in all of these studies is that the system being controlled is chaotic. H...
1995-03-15
2008-02-03
[ "chao-dyn", "nlin.CD", "q-bio" ]
David J. Christini and James J. Collins (NeuroMuscular Research Center and Department of Biomedical Engineering, Boston University)
chao-dyn/9503002
Evidence for the Validity of the Berry-Robnik Surmise in a Periodically Pulsed Spin System
We study the statistical properties of the spectrum of a quantum dynamical system whose classical counterpart has a mixed phase space structure consisting of two regular regions separated by a chaotical one. We make use of a simple symmetry of the system to separate the eigenstates of the time-evolution operator into t...
1995-03-09
2009-10-28
[ "chao-dyn", "nlin.CD" ]
PH. Jacquod and J.-P. Amiet
chao-dyn/9503001
Normal and Anomalous Scaling of the Fourth-Order Correlation Function of a Randomly Advected Passive Scalar
For a delta-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To describe a solution completely, one has to solve the matching problems at the scale of the source and at the diffusion scale. We solve both the ...
1995-03-06
2009-10-28
[ "chao-dyn", "cond-mat", "hep-th", "nlin.CD" ]
M. Chertkov, G. Falkovich, I. Kolokolov and V. Lebedev
chao-dyn/9502024
Chaos induced by Pauli blocking
Dynamics of classical scattering in the system of fermions is studied. The model is based on the coherent state representation and the equations of motion for fermions are derived from the time-dependent variational principle. It is found that the antisymmetrization due to the Pauli exclusion principle, may lead to hyp...
1995-03-02
2016-08-15
[ "chao-dyn", "nlin.CD" ]
S. Dro\.zd\.z, J. Oko{\l}owicz, M. Ploszajczak, E. Caurier and T. Srokowski
chao-dyn/9502025
Do Spectral Trace Formulae Converge?
We evaluate the Gutzwiller trace formula for the level density of classically chaotic systems by considering the level density in a bounded energy range and truncating its Fourier integral. This results in a limiting procedure which comprises a convergent semiclassical approximation to a well defined spectral quantity ...
1995-03-02
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Eyal Doron (Max-Planck Institut fuer Kernphysik, postfach 10 39 80, 69029 Heidelberg, Germany)
chao-dyn/9502023
Geometrization of spin systems using cycle expansions
It is shown that a spin system with long range interactions can be converted into a chaotic dynamical system that is differentiable and low-dimensional. The thermodynamic limit of the spin system is then equivalent to studying the long term behavior of the dynamical system. Cycle expansions of chaotic systems (expansio...
1995-03-01
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Ronnie Mainieri
chao-dyn/9502021
Dynamical Simulation of Fluidized Beds --- Hydrodynamically Interacting Granular Particles
A numerical simulation of a gas-fluidized bed is performed without introduction of any empirical parameters. Realistic bubbles and slugs are observed in our simulation. It is found that the convective motion of particles is important for the bubbling phase and there is no convection in the slugging phase. From the simu...
1995-02-28
2016-08-31
[ "chao-dyn", "nlin.CD" ]
Kengo Ichiki (Dept. of Physics, Tohoku Univ.,Sendai Japan) and Hisao Hayakawa (Dept. of Physics, Univ. of Illinois at Urbana-Champaign, IL)
chao-dyn/9502022
Quantized chaotic dynamics and non-commutative KS entropy
We study the quantization of two examples of classically chaotic dynamics, the Anosov dynamics of "cat maps" on a two dimensional torus, and the dynamics of baker's maps. Each of these dynamics is implemented as a discrete group of automorphisms of a von Neumann algebra of functions on a quantized torus. We compute the...
1995-02-28
2009-10-28
[ "chao-dyn", "nlin.CD" ]
S. Klimek, A. Lesniewski
chao-dyn/9502020
Localized States in the Chaotic Ce Atom
We show that the energy averaged entropy localization length for the eigenstates of the Ce atom is well approximated by the prediction of the Wigner ensemble.
1995-02-27
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Mario Feingold (Dept. of Physics, Ben-Gurion University, Beer-Sheva, Israel), Oreste Piro (Departament de Fisica, Universitat de les Illes Balears, Palma de Mallorca, Spain)
chao-dyn/9502019
Quantization of Sinai's Billiard - A Scattering Approach
We obtained the spectrum of the Sinai billiard as the zeroes of a secular equation, which is based on the scattering matrix of a related scattering problem. We show that this quantization method provides an efficient numerical scheme, and its implementation for the present case gives a few thousands of levels without e...
1995-02-25
2015-06-24
[ "chao-dyn", "nlin.CD" ]
Holger Schanz (Institut fuer Physik, Humboldt - Universitaet, Invalidenstr. 110, 10 099 Berlin, Germany) Uzy Smilansky (Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot, 76 100 Israel)
chao-dyn/9502018
Piecewise Linear Models for the Quasiperiodic Transition to Chaos
We formulate and study analytically and computationally two families of piecewise linear degree one circle maps. These families offer the rare advantage of being non-trivial but essentially solvable models for the phenomenon of mode-locking and the quasi-periodic transition to chaos. For instance, for these families, w...
1995-02-24
2009-10-28
[ "chao-dyn", "nlin.CD" ]
David K. Campbell (Physics Department, University of Illinois, 1110 W. Green St., Urbana, IL 61801), Roza Galeeva (UMPA, ENS, 46 Allee d'Italie 69364 Lyon Cedex 07, France), Charles Tresser (I.B.M. PO Box 218, Yorktown Heights, NY 10598), and David J. Uherka (Mathematics Department, University of North Dakota, ...
chao-dyn/9502017
Strong Chaos without Butterfly Effect in Dynamical Systems with Feedback
We discuss the predictability of a conservative system that drives a chaotic system with positive maximum Lyapunov exponent $\lambda_0$, such as the erratic motion of an asteroid in the gravitational field of two bodies of much larger mass. We consider the case where in absence of feedback (restricted model), the drivi...
1995-02-22
2009-10-28
[ "chao-dyn", "cond-mat", "nlin.CD" ]
Guido Boffetta (Istituto di Fisica Generale, Universita di Torino, Italy), Giovanni Paladin (Dipartimento di Fisica, Universita dell'Aquila, Italy), and Angelo Vulpiani (Dipartimento di Fisica, Universita di Roma La Sapienza, Italy)
chao-dyn/9502016
Two-dimensional Navier--Stokes simulation of deformation and break up of liquid patches
The large deformations and break up of circular 2D liquid patches in a high Reynolds number (Re=1000) gas flow are investigated numerically. The 2D, plane flow Navier--Stokes equations are directly solved with explicit tracking of the interface between the two phases and a new algorithm for surface tension. The numeric...
1995-02-21
2009-10-28
[ "chao-dyn", "comp-gas", "nlin.CD", "nlin.CG" ]
S. Zaleski, Jie Li (Mod\'elisation en M\'ecanique, Universit\'e de Paris 6, France) and S. Succi (IBM ECSEC, Roma, Italy)
chao-dyn/9502015
Semiclassical Quantization of Billiards with Mixed Boundary Conditions
The semiclassical theory for billiards with mixed boundary conditions is developed and explicit expressions for the smooth and the oscillatory parts of the spectral density are derived. The parametric dependence of the spectrum on the boundary condition is shown to be a very useful diagnostic tool in the semiclassical ...
1995-02-19
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Martin Sieber(1,2), Harel Primack(1), Uzy Smilansky(1), Iddo Ussishkin(1), Holger Schanz(3) ((1) Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot 76100, Israel. (2) Divison de Physique Theorique, Institut de Physique Nucleaire, 91 406 Orsay CEDEX, France. (3) Institut fuer Ph...
chao-dyn/9502013
Quantum manifestations of classical chaos in a Fermi accelerating disk
We study the classical and quantum mechanics of a free particle that collides elastically with the walls of a circular disk with the radius varying periodically in time. The quasi-energy spectral properties of the model are obtained from evaluation of finite-dimensional approximations to the time evolution operator. As...
1995-02-15
2015-06-24
[ "chao-dyn", "nlin.CD" ]
R. Badrinarayanan, Jorge V. Jose and G. Chu (Physics Department, Northeastern University, Boston, MA 02115, USA and Author 2 Instituut voor Theoretische Fysica, Universiteit Utrecht, 3508 TA Utrecht, The Netherlands)
chao-dyn/9502014
How the viscous subrange determines inertial range properties in turbulence shell models
We calculate static solutions of the 'GOY' shell model of turbulence and do a linear stability analysis. The asymptotic limit of large Reynolds numbers is analyzed. A phase diagram is presented which shows the range of stability of the static solution. We see an unexpected oscillatory dependence of the stability range ...
1995-02-15
2015-06-24
[ "chao-dyn", "nlin.CD" ]
Norbert Sch\"orghofer, Leo Kadanoff, and Detlef Lohse (The James Franck Institute, The University of Chicago)
chao-dyn/9502012
Complex Trkalian Fields and Solutions to Euler's Equations for the Ideal Fluid
We consider solutions to the complex Trkalian equation,~$ \vec{\nabla} \times \vc = \vc ,$ where~$\vc$ is a 3 component vector function with each component in the complex field, and may be expressed in the form~$ \vc = e^{ig} \vec{\nabla} F, $ with~$g$ real and~$F$ complex. We find, there are precisely two classes of s...
1995-02-13
2016-08-31
[ "chao-dyn", "dg-ga", "hep-th", "math.DG", "nlin.CD" ]
P. R. Baldwin and G. M. Townsend
chao-dyn/9502011
Coin Tossing as a Billiard Problem
We demonstrate that the free motion of any two-dimensional rigid body colliding elastically with two parallel, flat walls is equivalent to a billiard system. Using this equivalence, we analyze the integrable and chaotic properties of this new class of billiards. This provides a demonstration that coin tossing, the prot...
1995-02-10
2016-08-31
[ "chao-dyn", "nlin.CD" ]
N. L. Balazs, Rupak Chatterjee, and A. D. Jackson
chao-dyn/9502009
General Quantum Surface of Section Method
A new method for exact quantization of general bound Hamiltonian systems is presented. It is the quantum analogue of the classical Poincare Surface Of Section (SOS) reduction of classical dynamics. The quantum Poincare mapping is shown to be the product of the two generalized (non-unitary but compact) on-shell scatteri...
1995-02-08
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Tomaz Prosen (Center for Applied Mathematics and Theoretical Physics University of Maribor, Krekova 2 SLO-62000 Maribor, Slovenia)
chao-dyn/9502008
Quantum Surface of Section Method: Decomposition of the Resolvent (E - H)^(-1)
The paper presents exact surface of section reduction of quantum mechanics. The main theoretical result is a decomposition of the energy-dependent propagator G(E) = (E - H)^(-1) in terms of the propagators which (also or exclusively) act in Hilbert space of complex-valued functions over the configurational surface of s...
1995-02-08
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Tomaz Prosen (Center for Applied Mathematics and Theoretical Physics University of Maribor, Krekova 2 SLO-62000 Maribor, Slovenia)
chao-dyn/9502007
Quantum Surface of Section Method: Demonstration of semiclassical Berry-Robnik energy level spacing distribution in a generic 2-dim Hamiltonian system
The recently developed quantum surface of section method is applied to a search for extremely high-lying energy levels in a simple but generic Hamiltonian system between integrability and chaos, namely the semiseparable 2-dim oscillator. Using the stretch of 13,445 consecutive levels with the sequential number around $...
1995-02-08
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Tomaz Prosen (Center for Applied Mathematics and Theoretical Physics University of Maribor, Krekova 2 SLO-62000 Maribor, Slovenia)
chao-dyn/9502006
Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem
We describe the structure of bifurcations in the unbounded classical Diamagnetic Kepler problem. We conjecture that this system does not have any stable orbits and that the non-wandering set is described by a complete trinary symbolic dynamics for scaled energies larger then $\epsilon_c=0.328782\ldots$.
1995-02-06
2016-08-31
[ "chao-dyn", "nlin.CD" ]
Kai T. Hansen (University of Freiburg)
chao-dyn/9502004
The ambiguous meaning of irreversibility
Irreversibility of spontaneous macroscopic dynamics and its asymmetry with respect to the sign reversal of the variable $t$ is usually interpreted as a genuine property of complex isolated systems. Discussion of the kinetics involved in Joule's experiment concerning spontaneous expansion of a gas shows that the isolati...
1995-02-06
2008-02-03
[ "chao-dyn", "nlin.CD" ]
X. de Hemptinne
chao-dyn/9502005
Symbolic Dynamics and Markov Partitions for the Stadium Billiard
We investigate the Bunimovich stadium dynamics and find that in the limit of infinitely long stadium the symbolic dynamics is a subshift of finite type. For a stadium of finite length the Markov partitions are infinite, but the inadmissible symbol sequences can be determined exactly by means of the appropriate pruning ...
1995-02-06
2016-08-31
[ "chao-dyn", "nlin.CD" ]
Kai T. Hansen (University of Freiburg), Predrag Cvitanovic (Niels Bohr Institute Copenhagen)
chao-dyn/9502003
Inside-Outside Duality for Planar Billiards -- A Numerical Study
This paper reports the results of extensive numerical studies related to spectral properties of the Laplacian and the scattering matrix for planar domains (called billiards). There is a close connection between eigenvalues of the billiard Laplacian and the scattering phases, basically that every energy at which a scatt...
1995-02-05
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Barbara Dietz, Jean-Pierre Eckmann, Claude-Alain Pillet, Uzy Smilansky and Iddo Ussishkin
chao-dyn/9502002
Scattering Phases and Density of States for Exterior Domain
For a bounded open domain $\Omega\in \real^2$ with connected complement and piecewise smooth boundary, we consider the Dirichlet Laplacian $-\DO$ on $\Omega$ and the S-matrix on the complement $\Omega^c$. Using the restriction $A_E$ of $(-\Delta-E)^{-1}$ to the boundary of $\Omega $, we establish that $A_{E_0}^{-1/2}A_...
1995-02-04
2008-02-03
[ "chao-dyn", "nlin.CD" ]
J.-P. Eckmann, C.-A. Pillet (D\'ept. de Physique Th\'eorique, Universit\'e de Gen\`eve, Gen\`eve, Switzerland )
chao-dyn/9502001
Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard
This paper is devoted to the quantum chaology of three-dimensional systems. A trace formula is derived for compact polyhedral billiards which tessellate the three-dimensional hyperbolic space of constant negative curvature. The exact trace formula is compared with Gutzwiller's semiclassical periodic-orbit theory in thr...
1995-02-03
2019-08-15
[ "chao-dyn", "nlin.CD" ]
R.Aurich and J.Marklof (II.Institut fuer Theoretische Physik, Universitaet Hamburg Luruper Chaussee 149, 22761 Hamburg FRG)
chao-dyn/9501026
On the convergence of normalizing transformations in the presence of symmetries
It is shown that, under suitable conditions, involving in particular the existence of analytic constants of motion, the presence of Lie point symmetries can ensure the convergence of the transformation taking a vector field (or dynamical system) into normal form.
1995-02-02
2008-02-03
[ "chao-dyn", "nlin.CD", "nlin.SI", "solv-int" ]
G. Cicogna (Dip. di Fisica, Universita' di Pisa, Italy)
chao-dyn/9501028
Thermalization of a Brownian particle via coupling to low-dimensional chaos
It is shown that a paradigm of classical statistical mechanics --- the thermalization of a Brownian particle --- has a low-dimensional, deterministic analogue: when a heavy, slow system is coupled to fast deterministic chaos, the resultant forces drive the slow degrees of freedom toward a state of statistical equilibri...
1995-02-02
2016-08-31
[ "chao-dyn", "adap-org", "cond-mat", "nlin.AO", "nlin.CD" ]
Christopher Jarzynski
chao-dyn/9501027
Geometric phases and anholonomy for a class of chaotic classical systems
Berry's phase may be viewed as arising from the parallel transport of a quantal state around a loop in parameter space. In this Letter, the classical limit of this transport is obtained for a particular class of chaotic systems. It is shown that this ``classical parallel transport'' is anholonomic --- transport around ...
1995-02-02
2016-08-31
[ "chao-dyn", "nlin.CD", "quant-ph" ]
Christopher Jarzynski
chao-dyn/9501023
On the duality between periodic orbit statistics and quantum level statistics
We discuss consequences of a recent observation that the sequence of periodic orbits in a chaotic billiard behaves like a poissonian stochastic process on small scales. This enables the semiclassical form factor $K_{sc}(\tau)$ to agree with predictions of random matrix theories for other than infinitesimal $\tau$ in th...
1995-02-01
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Per Dahlqvist (Royal Institute of Technology, Stockholm)
chao-dyn/9501022
SUPPLEMENT TO THE PAPER: Separating the regular and irregular energy levels and their statistics in Hamiltonian system with mixed classical dynamics
As a technical supplement to the above mentioned paper we present 192 consecutive eigenstates for the Robnik billiard with the shape parameter $\lambda=0.15$ from 10,001st to 10,192nd, by showing the plots in the configuration space and in the phase space. The latter is smoothed projection of the Wigner function onto t...
1995-02-01
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Baowen Li and Marko Robnik (Center for Applied Mathematics and Theoretical Physics University of Maribor, Krekova 2, SLO-62000 Maribor, Slovenia)
chao-dyn/9501021
Separating the regular and irregular energy levels and their statistics in Hamiltonian system with mixed classical dynamics
We look at the high-lying eigenstates (from the 10,001st to the 13,000th) in the Robnik billiard (defined as a quadratic conformal map of the unit disk) with the shape parameter $\lambda=0.15$. All the 3,000 eigenstates have been numerically calculated and examined in the configuration space and in the phase space whic...
1995-02-01
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Baowen Li and Marko (Robnik Center for Applied Mathematics and Theoretical Physics University of Maribor, Krekova 2, SLO-62000 Maribor, Slovenia)
chao-dyn/9501025
Quantization of the three dimensional Sinai billiard
For the first time a three--dimensional (3D) chaotic billiard -- the 3D Sinai billiard -- was quantized, and high--precision spectra with thousands of eigenvalues were calculated. We present here a semiclassical and statistical analysis of the spectra, and point out some of the features which are genuine consequences o...
1995-02-01
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Harel Primack and Uzy Smilansky (Departmet of physics of complex systems, The Weizmann Institute, Rehovot 76100, Israel)
chao-dyn/9501020
Geometry of high-lying eigenfunctions in a plane billiard system having mixed type classical dynamics
In this work we study the geometrical properties of the high-lying eigenfunctions (200,000 and above) which are deep in the semiclassical regime. The system we are analyzing is the billiard system inside the region defined by the quadratic (complex) conformal map $w = z + \lambda z^{2}$ of the unit disk $|z| \le 1$ as ...
1995-02-01
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Baowen Li and Marko Robnik (Center for Applied Mathematics and Theoretical Physics University of Maribor, Krekova 2, SLO-62000 Maribor, Slovenia)
chao-dyn/9501024
Weyl Expansion for Symmetric Potentials
We present a semiclassical expansion of the smooth part of the density of states in potentials with some form of symmetry. The density of states of each irreducible representation is separately evaluated using the Wigner transforms of the projection operators. For discrete symmetries the expansion yields a formally exa...
1995-02-01
2016-08-31
[ "chao-dyn", "nlin.CD" ]
B.Lauritzen and N.D. Whelan (Niels Bohr Institute)
chao-dyn/9502010
Exact Resummations in the Theory of Hydrodynamic Turbulence: 0. Line-Resummed Diagrammatic Perturbation Approach
The lectures presented by one of us (IP) at the Les Houches summer school dealt with the scaling properties of high Reynolds number turbulence in fluid flows. The results presented are available in the literature and there is no real need to reproduce them here. Quite on the contrary, some of the basic tools of the fie...
1995-02-01
2016-08-31
[ "chao-dyn", "cond-mat", "nlin.CD" ]
Victor L'vov and Itamar Procaccia
chao-dyn/9501019
Parametric Spectral Correlations of Disordered Systems in the Fourier Domain
A Fourier analysis of parametric level dynamics for random matrices periodically depending on a phase is developed. We demonstrate both theoretically and numerically that under very general conditions the correlation $C(\varphi )$ of level velocities is singular at $\varphi =0$ for any symmetry class; the singularity i...
1995-01-31
2009-10-28
[ "chao-dyn", "cond-mat", "nlin.CD" ]
I.Guarneri (Como), K.Zyczkowski & J.Zakrzewski (Krakow), L.Molinari (Milano), G.Casati (Como)
chao-dyn/9501018
Time Delay Correlations in Chaotic Scattering: Random Matrix Approach
We study the correlations of time delays in a model of chaotic resonance scattering based on the random matrix approach. Analytical formulae which are valid for arbitrary number of open channels and arbitrary coupling strength between resonances and channels are obtained by the supersymmetry method. We demonstrate that...
1995-01-30
2015-06-24
[ "chao-dyn", "cond-mat", "nlin.CD", "nucl-th" ]
N. Lehmann, D.V. Savin, V.V. Sokolov, H.-J. Sommers
chao-dyn/9501017
Random walk on Sierpinski-type multifractals
A method is established which allows the calculation of the walk dimension for Sierpinski-type multifractals. The multifractal scaling behaviour of the average time needed to cover a distance in the mentionned multifractals is shown. For the average-time-multifractal we calculate the Renyi dimensions and allpy the f(al...
1995-01-30
2016-08-31
[ "chao-dyn", "nlin.CD" ]
U .Bernert, K. Koepernik
chao-dyn/9501016
Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner
For systems whose classical dynamics is chaotic, it is generally believed that the local statistical properties of the quantum energy levels are well described by Random Matrix Theory. We present here two counterexamples - the hydrogen atom in a magnetic field and the quartic oscillator - which display nearest neighbor...
1995-01-29
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Jakub Zakrzewski, Karine Dupret and Dominique Delande (Laboratoire Kastler Brossel ENS, Paris, France)
chao-dyn/9501015
Dynamical ensembles in stationary states
We propose as a generalization of an idea of Ruelle to describe turbulent fluid flow a chaotic hypothesis for reversible dissipative many particle systems in nonequilibrium stationary states in general. This implies an extension of the zeroth law of thermodynamics to non equilibrium states and it leads to the identific...
1995-01-28
2009-10-28
[ "chao-dyn", "nlin.CD" ]
G. Gallavotti, E.G.D. Cohen
chao-dyn/9501013
Fractal Spectrum of a Quasi_periodically Driven Spin System
We numerically perform a spectral analysis of a quasi-periodically driven spin 1/2 system, the spectrum of which is Singular Continuous. We compute fractal dimensions of spectral measures and discuss their connections with the time behaviour of various dynamical quantities, such as the moments of the distribution of th...
1995-01-27
2009-10-28
[ "chao-dyn", "nlin.CD" ]
I.Guarneri and M.DiMeo (Como)
chao-dyn/9501014
On "Universal" Correlations in Disordered and Chaotic Systems
Numerical study of the parametric motion of energy levels in a model system built on Random Matrix Theory is presented. The correlation function of levels' slopes (the so called velocity correlation function) is determined numerically and compared with its limiting analytic form when available. A simple analytic form o...
1995-01-27
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Jakub Zakrzewski (Jagiellonian University, Krakow, Poland and Laboratoire Kastler Brossel, Paris, France)
chao-dyn/9501012
Global Large Time Self-similarity of a Thermal-Diffusive Combustion System with Critical Nonlinearity
We study the initial value problem of the thermal-diffusive combustion system: $u_{1,t} = u_{1,x,x} - u_1 u^2_2, u_{2,t} = d u_{2,xx} + u_1 u^2_2, x \in R^1$, for non-negative spatially decaying initial data of arbitrary size and for any positive constant $d$. We show that if the initial data decays to zero sufficientl...
1995-01-25
2008-02-03
[ "chao-dyn", "nlin.CD" ]
J.Bricmont (Physique Th\'eorique, University of Louvain, B-1348, Louvain-la-Neuve, Belgium), A.Kupiainen (Helsinki University, Department of Mathematics, Helsinki 00014, Finland), J. Xin (Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA)
chao-dyn/9501011
Reversible Anosov diffeomorphisms and large deviations
The volume contraction obeys a large deviation rule.
1995-01-21
2008-02-26
[ "chao-dyn", "nlin.CD" ]
Giovanni Gallavotti (Fisica, Roma)
chao-dyn/9501010
Controlling Chaos using an Exponential Control
We demonstrate that chaos can be controlled using a multiplicative exponential feedback control. All three types of unstable orbits - unstable fixed points, limit cycles and chaotic trajectories can be stabilized using this control. The control is effective both for maps and flows. The control is significant, particula...
1995-01-18
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Sangeeta D. Gadre (Department of Physics & Astrophysics, University of Delhi), V.S. Varma (Department of Physics & Astrophysics, University of Delhi)
chao-dyn/9501009
Integrability and Ergodicity of Classical Billiards in a Magnetic Field
We consider classical billiards in plane, connected, but not necessarily bounded domains. The charged billiard ball is immersed in a homogeneous, stationary magnetic field perpendicular to the plane. The part of dynamics which is not trivially integrable can be described by a "bouncing map". We compute a general expres...
1995-01-18
2010-12-09
[ "chao-dyn", "nlin.CD", "nlin.SI", "solv-int" ]
N. Berglund, H. Kunz, (Institut de Physique Th\'eorique, EPF-Lausanne, Switzerland)
chao-dyn/9501008
A new analysis of the tippe top: Asymptotic states and Liapunov stability
Asymptotic behaviour of a tippe top, under the action of gliding friction. Liapunov stability analysis of the asymptotics of states with arbitrary initial conditions.
1995-01-18
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Stefan Ebenfeld (University of Mainz), Florian Scheck (University of Mainz)
chao-dyn/9501006
Formation of Dynamic Domains in Strongly Driven Ferromagnets
Based on the dissipative Landau-Lifshitz equation, the spatiotemporal structure formation problem is investigated in the region far above the transverse ferromagnetic resonance instability. Apart from the external fields, the model contains an isotropic exchange field, a shape demagnetisation field and an anisotropy fi...
1995-01-10
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Timm Plefka (TH-Darmstadt, D-64289 Darmstadt, Germany)
chao-dyn/9501007
Turbulent spectrum of the Earth's ozone field
The Total Ozone Mapping Spectrometer (TOMS) database is subjected to an analysis in terms of the Karhunen-Loeve (KL) empirical eigenfunctions. The concentration variance spectrum is transformed into a wavenumber spectrum, $% E_c(k)$. In terms of wavenumber $E_c(k)$ is shown to be $O(k^{-2/3})$ in the inverse cascade re...
1995-01-10
2009-10-28
[ "chao-dyn", "nlin.CD" ]
L. Sirovich, R. Everson and D.Manin, (The Rockefeller University, New York City)
chao-dyn/9501005
Semiclassical quantization using Bogomolny's quantum surface of section
The efficacy and accuracy of Bogomolny's method of the quantum surface of section is evaluated by applying it to the quantization of the motion of a particle in a smooth 2-D potential. This method defines a transfer operator T in terms of classical trajectories of one Poincar\'e crossing; knowledge of T provides inform...
1995-01-04
2009-10-28
[ "chao-dyn", "nlin.CD" ]
M. R. Haggerty (Caltech)
chao-dyn/9501004
Chaotic Properties of the Elliptical Stadium
The elliptical stadium is a curve constructed by joining two half-ellipses, with half axes a>1 and b=1, by two straight segments of equal length 2h. In this work we find bounds on h, for a close to 1, to assure the positiveness of a Lyapunov exponent. We conclude that, for these values of a and h, the elliptical stadiu...
1995-01-04
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Roberto Markarian (IMERL, Fac. de Ingenieria, Uruguay), Sylvie Oliffson Kamphorst and Sonia Pinto de Carvalho (Departamento de Matem\'atica, ICEx, UFMG, Brasil)
chao-dyn/9501001
Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functions
We compute the Lyapunov exponent, generalized Lyapunov exponents and the diffusion constant for a Lorentz gas on a square lattice, thus having infinite horizon. Approximate zeta functions, written in terms of probabilities rather than periodic orbits, a re used in order to avoid the convergence problems of cycle expans...
1995-01-02
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Per Dahlqvist (Royal Institute of Technology, Stockholm)
chao-dyn/9501002
Dynamics of homogeneous magnetizations in strong transverse driving fields
Spatially homogeneous solutions of the Landau--Lifshitz--Gilbert equation are analysed. The conservative as well as the dissipative case is considered explicitly. For the linearly polarized driven Hamiltonian system we apply canonical perturbation theory to uncover the main resonances as well as the global phase space ...
1995-01-02
2009-10-28
[ "chao-dyn", "nlin.CD" ]
Thomas Traexler, Wolfram Just, and Herwig Sauermann (TH-Darmstadt, D-64289 Darmstadt, Germany)
chao-dyn/9501003
Statistical properties of high-lying chaotic eigenstates
We study the statistical properties of the high-lying chaotic eigenstates (200,000 and above) which are deep in the semiclassical regime. The system we are analyzing is the billiard system inside the region defined by the quadratic (complex) conformal map of the unit disk as introduced by Robnik (1983). We are using He...
1995-01-02
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Baowen Li and Marko Robnik (Center for Applied Mathematics and Theoretical Physics, University of Maribor, Rep. Slovenia)
chem-ph/9512008
He Scattering from Compact Clusters and from Diffusion-Limited Aggregates on Surfaces: Observable Signatures of Structure
The angular intensity distribution of He beams scattered from compact clusters and from diffusion limited aggregates, epitaxially grown on metal surfaces, is investigated theoretically. The purpose is twofold: to distinguish compact cluster structures from diffusion limited aggregates, and to find observable {\em signa...
1995-12-27
2009-10-28
[ "chem-ph", "cond-mat", "mtrl-th", "physics.chem-ph" ]
Daniel A. Hamburger, A. Tamar Yinnon, Itshak Farbman, Avinoam Ben-Shaul and R. Benny Gerber (Hebrew University of Jerusalem)
chem-ph/9512007
Quantum Effects in Barrier Dynamics
The dynamics near the top of a potential barrier is studied in the temperature region where quantum effects become important. The time evolution of the density matrix of a system that deviates initially from equilibrium in the vicinity of the barrier top but is in local equilibrium away from the barrier top is determin...
1995-12-14
2009-10-28
[ "chem-ph", "physics.chem-ph" ]
Joachim Ankerhold and Hermann Grabert (Universitaet Freiburg, Germany)
chem-ph/9512006
Direct subsurface absorption of hydrogen on Pd(111)
We summarize and discuss some of the available experimental and theoretical data important for understanding the role played by subsurface sites in dissociative chemisorption calculations for the H$_2$/Pd(111) system. Then we use a semi-empirical potential energy surface (PES) to model the interaction of a H$_2$ molecu...
1995-12-13
2009-10-28
[ "chem-ph", "cond-mat", "physics.chem-ph" ]
Ole Martin L{\o}vvik (University of Oslo, Norway) and Roar Aspes{\ae}ter Olsen (Vrije Universiteit Amsterdam, the Netherlands)
chem-ph/9512004
Evidence for Non-Random Hydrophobicity Structures in Protein Chains
The question of whether proteins originate from random sequences of amino acids is addressed. A statistical analysis is performed in terms of blocked and random walk values formed by binary hydrophobic assignments of the amino acids along the protein chains. Theoretical expectations of these variables from random distr...
1995-12-11
2009-10-28
[ "chem-ph", "cond-mat", "hep-lat", "physics.chem-ph" ]
Anders Irb\"ack, Carsten Peterson and Frank Potthast
chem-ph/9512005
On the geometry and conformation of starburst dendrimers
In this work, we propose a geometrical model for the study of conformational properties of a starburst dendrimer with the topology of a truncated Bethe lattice. A convenient embedding of the Bethe lattice in the hyperbolic plane is used to study the architecture of the dendrimer. As results, we find an upper bound for ...
1995-12-11
2008-02-03
[ "chem-ph", "physics.chem-ph" ]
Antonio de Padua, J.A. de Miranda-Neto, Isaac M. Xavier Jr. and Fernando Moraes
chem-ph/9512003
Optical Theorem and the Inversion of Cross Section Data for Atom Scattering from Defects on Surfaces
The information content and properties of the cross section for atom scattering from a defect on a flat surface are investigated. Using the Sudden approximation, a simple expression is obtained that relates the cross section to the underlying atom/defect interaction potential. An approximate inversion formula is given,...
1995-12-07
2009-10-28
[ "chem-ph", "atom-ph", "cond-mat", "physics.chem-ph" ]
D.A. Hamburger (1,2) and R.B. Gerber (2,3) ((1) Department of Physics, The Hebrew University of Jerusalem, Israel, (2) The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel, (3) Department of Chemistry, UC Irvine, CA, USA)
chem-ph/9512002
Fractal Dimension of Disordered Submonolayers: Determination from He Scattering Data
We propose a novel method to measure the fractal dimension of a submonolayer metal adatom system grown under conditions of limited diffusivity on a surface. The method is based on measuring the specular peak attenuation of He atoms scattered from the surface, as a function of incidence energy. The (Minkowski) fractal d...
1995-12-06
2009-10-28
[ "chem-ph", "atom-ph", "cond-mat", "physics.chem-ph" ]
D.A. Hamburger, A.T. Yinnon, R.B. Gerber (Hebrew University of Jerusalem, Israel)
chem-ph/9512001
Monte-Carlo studies of bosonic van der Waals clusters
In a previous paper (http://www.phys.uri.edu/people/nightingale/publications.html, chem-ph/9406003) we developed a form of variational trial wave function and applied it to van der Waals clusters: five or less atoms of Ar and Ne modeled by the Lennard-Jones potential. In addition, we tested the trial functions for a hy...
1995-12-02
2008-02-03
[ "chem-ph", "physics.chem-ph" ]
M. Meierovich, A. Mushinski and M.P. Nightingale, (Department of Physics, University of Rhode Island)
chem-ph/9511002
Influence of surfactants on the structure of titanium oxide gels : experiments and simulations
We report here on experimental and numerical studies of the influence of surfactants on mineral gel synthesis. The modification of the gel structure when the ratios water-precursor and water-surfactant vary is brought to the fore by fractal dimension measures. A property of {\em polydispersity of the initial hydrolysis...
1995-11-22
2009-10-28
[ "chem-ph", "cond-mat", "physics.chem-ph" ]
Francois R. Molino (1), J. M. Barthez (1), A. Ayral (1), C. Guizard (1), R. Jullien (1), J. Marignan (1) ((1) Universite Montpellier II, Montpellier, France)
chem-ph/9511001
The Atomic and Electronic Structure of Liquid N- Methylformamide as Determined from Diffraction Experiments
The structure of liquid N-methylformamide (NMF) has been investigated using synchrotron radiation at 77 and 95 keV. The use of high energy photons has several advantages, in this case especially the large accessible momentum transfer range, the low absorption and the direct comparability with neutron diffraction. The r...
1995-11-03
2015-06-24
[ "chem-ph", "physics.chem-ph" ]
J. Neuefeind, M. D. Zeidler and H. F. Poulsen
chem-ph/9510004
A Blocking Technique for Emulating Very Large Polyelectrolytes
A new Monte Carlo method for computing thermodynamical properties of very large polyelectrolytes is presented. It is based on a renormalization group relating the original polymer to a smaller system, where in addition to the naively rescaled forces, a corrective nearest-neighbor interaction originating from the short ...
1995-10-20
2009-10-28
[ "chem-ph", "cond-mat", "hep-lat", "physics.chem-ph" ]
C. Peterson, O. Sommelius, B. Soderberg (Theor. Phys., Lund Univ.)
chem-ph/9510003
Boundary Integral Methods for the Poisson Equation of Continuum Dielectric Solvation Models
This paper tests a dielectric model for variation of hydration free energy with geometry of complex solutes in water. It works out some basic aspects of the theory of boundary integral methods for these problems. One aspect of the algorithmic discussion lays the basis for multigrid methods of solution, methods that are...
1995-10-05
2008-02-03
[ "chem-ph", "physics.chem-ph" ]
L. R. Pratt, G. J. Tawa, G. Hummer, A. E. Garcia, and S. A. Corcelli
chem-ph/9510001
A Heuristic Molecular Model of Hydrophobic Interactions
Hydrophobic interactions provide driving forces for protein folding, membrane formation, and oil-water separation. Motivated by information theory, the poorly understood nonpolar solute interactions in water are investigated. A simple heuristic model of hydrophobic effects in terms of density fluctuations is developed....
1995-10-04
2008-02-03
[ "chem-ph", "physics.chem-ph" ]
G. Hummer, S. Garde, A. E. Garcia, A. Pohorille and L. R. Pratt
chem-ph/9510002
Mixed Direct-Iterative Methods for Boundary Integral Formulations of Dielectric Solvation Models
This paper describes a mixed direct-iterative method for boundary integral formulations of dielectric solvation models. We give an example for which a direct solution at thermal accuracy is nontrivial and for which Gauss-Seidel iteration diverges in rare but reproducible cases. This difficulty is analyzed by obtaining ...
1995-10-04
2008-02-03
[ "chem-ph", "physics.chem-ph" ]
S. A. Corcelli, J. D. Kress, L. R. Pratt, G. J. Tawa
chem-ph/9509001
Iterative Solution of the Ornstein-Zernike Equation with Various Closures Using Vector Extrapolation
The solution of the Ornstein-Zernike equation with various closure approximations is studied. This problem is rewritten as an integral equation that can be solved iteratively on a grid. The convergence of the fixed point iterations is relatively slow. We consider transformations of the sequence of solution vectors usin...
1995-09-25
2009-10-28
[ "chem-ph", "hep-lat", "physics.chem-ph" ]
Herbert H. H. Homeier and Sebastian Rast and Hartmut Krienke