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Statistics of cycles in large networks: We present a Markov Chain Monte Carlo method for sampling cycle length in large graphs. Cycles are treated as microstates of a system with many degrees of freedom. Cycle length corresponds to energy such that the length histogram is obtained as the density of states from Metropol...
cond-mat_dis-nn
Strong Disorder Renewal Approach to DNA denaturation and wetting : typical and large deviation properties of the free energy: For the DNA denaturation transition in the presence of random contact energies, or equivalently the disordered wetting transition, we introduce a Strong Disorder Renewal Approach to construct ...
cond-mat_dis-nn
Water adsorption on amorphous silica surfaces: A Car-Parrinello simulation study: A combination of classical molecular dynamics (MD) and ab initio Car-Parrinello molecular dynamics (CPMD) simulations is used to investigate the adsorption of water on a free amorphous silica surface. From the classical MD SiO_2 configu...
cond-mat_dis-nn
Nonlinear transmission and light localization in photonic crystal waveguides: We study the light transmission in two-dimensional photonic crystal waveguides with embedded nonlinear defects. First, we derive the effective discrete equations with long-range interaction for describing the waveguide modes, and demonstrat...
cond-mat_dis-nn
Statistical mechanics of LDPC codes on channels with memory: We present an analytic method of assessing the typical performance of low-density parity-check codes on finite-state Markov channels. We show that this problem is similar to a spin-glass model on a `small-world' lattice. We apply our methodology to binary-sym...
cond-mat_dis-nn
Stark many-body localization: We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to a strong electric field. In the non-interacting case, due to Wannier-Stark localization, the single-particle wave functions are exponentially localized even though t...
cond-mat_dis-nn
Experimental test of Sinai's model in DNA unzipping: The experimental measurement of correlation functions and critical exponents in disordered systems is key to testing renormalization group (RG) predictions. We mechanically unzip single DNA hairpins with optical tweezers, an experimental realization of the diffusive ...
cond-mat_dis-nn
The Gardner transition in physical dimensions: The Gardner transition is the transition that at mean-field level separates a stable glass phase from a marginally stable phase. This transition has similarities with the de Almeida-Thouless transition of spin glasses. We have studied a well-understood problem, that of dis...
cond-mat_dis-nn
Rayleigh anomalies and disorder-induced mixing of polarizations at nanoscale in amorphous solids. Testing 1-octyl-3-methylimidazolium chloride glass: Acoustic excitations in topologically disordered media at mesoscale present anomalous features with respect to the Debye's theory. In a three-dimensional medium an ac...
cond-mat_dis-nn
Optimal Vertex Cover for the Small-World Hanoi Networks: The vertex-cover problem on the Hanoi networks HN3 and HN5 is analyzed with an exact renormalization group and parallel-tempering Monte Carlo simulations. The grand canonical partition function of the equivalent hard-core repulsive lattice-gas problem is recast f...
cond-mat_dis-nn
Record breaking bursts during the compressive failure of porous materials: An accurate understanding of the interplay between random and deterministic processes in generating extreme events is of critical importance in many fields, from forecasting extreme meteorological events to the catastrophic failure of material...
cond-mat_dis-nn
Non equilibrium dynamics below the super-roughening transition: The non equilibrium relaxational dynamics of the solid on solid model on a disordered substrate and the Sine Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature $T_g$ our results for the autocorrelations,...
cond-mat_dis-nn
Non-Abelian chiral symmetry controls random scattering in two-band models: We study the dynamics of non-interacting quantum particles with two bands in the presence of random scattering. The two bands are associated with a chiral symmetry. After breaking the latter by a potential, we still find that the quantum dynam...
cond-mat_dis-nn
Fluctuation effects in metapopulation models: percolation and pandemic threshold: Metapopulation models provide the theoretical framework for describing disease spread between different populations connected by a network. In particular, these models are at the basis of most simulations of pandemic spread. They are us...
cond-mat_dis-nn
Memory effects, two color percolation, and the temperature dependence of Mott's variable range hopping: There are three basic processes that determine hopping transport: (a) hopping between normally empty sites (i.e. having exponentially small occupation numbers at equilibrium); (b) hopping between normally occupied ...
cond-mat_dis-nn
Molecular dynamics simulation of the fragile glass former ortho-terphenyl: a flexible molecule model: We present a realistic model of the fragile glass former orthoterphenyl and the results of extensive molecular dynamics simulations in which we investigated its basic static and dynamic properties. In this model the ...
cond-mat_dis-nn
Percolation Thresholds of the Fortuin-Kasteleyn Cluster for a Potts Gauge Glass Model on Complex Networks: Analytical Results on the Nishimori Line: It was pointed out by de Arcangelis et al. [Europhys. Lett. 14 (1991), 515] that the correct understanding of the percolation phenomenon of the Fortuin-Kasteleyn clust...
cond-mat_dis-nn
d=3 random field behavior near percolation: The highly diluted antiferromagnet Mn(0.35)Zn(0.65)F2 has been investigated by neutron scattering for H>0. A low-temperature (T<11K), low-field (H<1T) pseudophase transition boundary separates a partially antiferromagnetically ordered phase from the paramagnetic one. For 1<H<...
cond-mat_dis-nn
Speckle intensity correlations of photons scattered by cold atoms: The irradiation of a dilute cloud of cold atoms with a coherent light field produces a random intensity distribution known as laser speckle. Its statistical fluctuations contain information about the mesoscopic scattering processes at work inside the di...
cond-mat_dis-nn
Critical localization with Van der Waals interactions: I discuss the quantum dynamics of strongly disordered quantum systems with critically long range interactions, decaying as $1/r^{2d}$ in $d$ spatial dimensions. I argue that, contrary to expectations, localization in such systems is stable at low orders in perturba...
cond-mat_dis-nn
Anderson localization and delocalization of massless two-dimensional Dirac electrons in random one-dimensional scalar and vector potentials: We study Anderson localization of massless Dirac electrons in two dimensions in one-dimensional random scalar and vector potentials theoretically for two different cases, in whi...
cond-mat_dis-nn
Lack of monotonicity in spin glass correlation functions: We study the response of a spin glass system with respect to the rescaling of its interaction random variables and investigate numerically the behaviour of the correlation functions with respect to the volume. While for a ferromagnet the local energy correlation...
cond-mat_dis-nn
Critical dynamics of the k-core pruning process: We present the theory of the k-core pruning process (progressive removal of nodes with degree less than k) in uncorrelated random networks. We derive exact equations describing this process and the evolution of the network structure, and solve them numerically and, in th...
cond-mat_dis-nn
New class of level statistics in correlated disordered chains: We study the properties of the level statistics of 1D disordered systems with long-range spatial correlations. We find a threshold value in the degree of correlations below which in the limit of large system size the level statistics follows a Poisson distr...
cond-mat_dis-nn
Universal correlations between shocks in the ground state of elastic interfaces in disordered media: The ground state of an elastic interface in a disordered medium undergoes collective jumps upon variation of external parameters. These mesoscopic jumps are called shocks, or static avalanches. Submitting the interfac...
cond-mat_dis-nn
Derivatives and inequalities for order parameters in the Ising spin glass: Identities and inequalities are proved for the order parameters, correlation functions and their derivatives of the Ising spin glass. The results serve as additional evidence that the ferromagnetic phase is composed of two regions, one with st...
cond-mat_dis-nn
Metastable states in disordered Ising magnets in mean-field approximation: The mechanism of appearance of exponentially large number of metastable states in magnetic phases of disordered Ising magnets with short-range random exchange is suggested. It is based on the assumption that transitions into inhomogeneous magn...
cond-mat_dis-nn
Spreading in Disordered Lattices with Different Nonlinearities: We study the spreading of initially localized states in a nonlinear disordered lattice described by the nonlinear Schr\"odinger equation with random on-site potentials - a nonlinear generalization of the Anderson model of localization. We use a nonlinear d...
cond-mat_dis-nn
Percolation Transition in a Topological Phase: Transition out of a topological phase is typically characterized by discontinuous changes in topological invariants along with bulk gap closings. However, as a clean system is geometrically punctured, it is natural to ask the fate of an underlying topological phase. To und...
cond-mat_dis-nn
The dipolar spin glass transition in three dimensions: Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar Ising system in three dime...
cond-mat_dis-nn
Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a $\mathbb{Z}_2$ gauge theory in three dimensions: Fractional statistics of quasiparticle excitations often plays an important role in the detection and characterization of topological systems. In this paper, we in...
cond-mat_dis-nn
Enhancing the spectral gap of networks by node removal: Dynamics on networks are often characterized by the second smallest eigenvalue of the Laplacian matrix of the network, which is called the spectral gap. Examples include the threshold coupling strength for synchronization and the relaxation time of a random walk. ...
cond-mat_dis-nn
Localization Transition in Incommensurate non-Hermitian Systems: A class of one-dimensional lattice models with incommensurate complex potential $V(\theta)=2[\lambda_r cos(\theta)+i \lambda_i sin(\theta)]$ is found to exhibit localization transition at $|\lambda_r|+|\lambda_i|=1$. This transition from extended to local...
cond-mat_dis-nn
Mean field theory for the three-dimensional Coulomb glass: We study the low temperature phase of the 3D Coulomb glass within a mean field approach which reduces the full problem to an effective single site model with a non-trivial replica structure. We predict a finite glass transition temperature $T_c$, and a glassy l...
cond-mat_dis-nn
Finite size scaling in neural networks: We demonstrate that the fraction of pattern sets that can be stored in single- and hidden-layer perceptrons exhibits finite size scaling. This feature allows to estimate the critical storage capacity \alpha_c from simulations of relatively small systems. We illustrate this approa...
cond-mat_dis-nn
Phase transitions in diluted negative-weight percolation models: We investigate the geometric properties of loops on two-dimensional lattice graphs, where edge weights are drawn from a distribution that allows for positive and negative weights. We are interested in the appearance of spanning loops of total negative wei...
cond-mat_dis-nn
Influence of disorder on a Bragg microcavity: Using the resonant-state expansion for leaky optical modes of a planar Bragg microcavity, we investigate the influence of disorder on its fundamental cavity mode. We model the disorder by randomly varying the thickness of the Bragg-pair slabs (composing the mirrors) and the...
cond-mat_dis-nn
Self-organized criticality in neural network models: It has long been argued that neural networks have to establish and maintain a certain intermediate level of activity in order to keep away from the regimes of chaos and silence. Strong evidence for criticality has been observed in terms of spatio-temporal activity av...
cond-mat_dis-nn
Avalanches and perturbation theory in the random-field Ising model: Perturbation theory for the random-field Ising model (RFIM) has the infamous attribute that it predicts at all orders a dimensional-reduction property for the critical behavior that turns out to be wrong in low dimension. Guided by our previous work ba...
cond-mat_dis-nn
Spectral properties of complex networks: This review presents an account of the major works done on spectra of adjacency matrices drawn on networks and the basic understanding attained so far. We have divided the review under three sections: (a) extremal eigenvalues, (b) bulk part of the spectrum and (c) degenerate eig...
cond-mat_dis-nn
Erratum: Small-world networks: Evidence for a crossover picture: We correct the value of the exponent \tau.
cond-mat_dis-nn
Onset of reptations and critical hysteretic behavior in disordered systems: Zero-temperature random coercivity Ising model with antiferromagnetic-like interactions is used to study closure of minor hysteresis loops and wiping-out property (Return Point Memory) in hysteretic behavior. Numerical simulations in two dime...
cond-mat_dis-nn
The September 11 Attack: A Percolation of Individual Passive Support: A model for terrorism is presented using the theory of percolation. Terrorism power is related to the spontaneous formation of random backbones of people who are sympathetic to terrorism but without being directly involved in it. They just don't oppo...
cond-mat_dis-nn
A tomography of the GREM: beyond the REM conjecture: Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should in most circumstances be the same as in the random energy model. This was proven in a large class of models for energies that do not g...
cond-mat_dis-nn
Renormalization for Discrete Optimization: The renormalization group has proven to be a very powerful tool in physics for treating systems with many length scales. Here we show how it can be adapted to provide a new class of algorithms for discrete optimization. The heart of our method uses renormalization and recursio...
cond-mat_dis-nn
Interference phenomena in radiation of a charged particle moving in a system with one-dimensional randomness: The contribution of interference effects to the radiation of a charged particle moving in a medium of randomly spaced plates is considered. In the angular dependent radiation intensity a peak appears at angle...
cond-mat_dis-nn
On the Paramagnetic Impurity Concentration of Silicate Glasses from Low-Temperature Physics: The concentration of paramagnetic trace impurities in glasses can be determined via precise SQUID measurements of the sample's magnetization in a magnetic field. However the existence of quasi-ordered structural inhomogeneiti...
cond-mat_dis-nn
Universality class of 3D site-diluted and bond-diluted Ising systems: We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling correction...
cond-mat_dis-nn
Comment on "Quantum and Classical Glass Transitions in LiHo$_{x}$Y$_{1-x}$F$_4$" by C. Ancona-Torres, D.M. Silevitch, G. Aeppli, and T. F. Rosenbaum, Phys. Rev. Lett. 101, 057201 (2008): We show in this comment that the claim by Ancona-Torres et al. of an equilibrium quantum or classical phase transition in the LiH...
cond-mat_dis-nn
Beyond universal behavior in the one-dimensional chain with random nearest neighbor hopping: We study the one-dimensional nearest neighbor tight binding model of electrons with independently distributed random hopping and no on-site potential (i.e. off-diagonal disorder with particle-hole symmetry, leading to sub-lat...
cond-mat_dis-nn
Super-diffusion in optical realizations of Anderson localization: We discuss the dynamics of particles in one dimension in potentials that are random both in space and in time. The results are applied to recent optics experiments on Anderson localization, in which the transverse spreading of a beam is suppressed by ran...
cond-mat_dis-nn
AC-field-controlled localization-delocalization transition in one dimensional disordered system: Based on the random dimer model, we study correlated disorder in a one dimensional system driven by a strong AC field. As the correlations in a random system may generate extended states and enhance transport in DC fields...
cond-mat_dis-nn
Minimum spanning trees on weighted scale-free networks: A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment and network topology on t...
cond-mat_dis-nn
Calorimetric glass transition in a mean field theory approach: The study of the properties of glass-forming liquids is difficult for many reasons. Analytic solutions of mean field models are usually available only for systems embedded in a space with an unphysically high number of spatial dimensions; on the experimenta...
cond-mat_dis-nn
Second order phase transition in the six-dimensional Ising spin glass on a field: The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according ...
cond-mat_dis-nn
Slow and Long-ranged Dynamical Heterogeneities in Dissipative Fluids: A two-dimensional bidisperse granular fluid is shown to exhibit pronounced long-ranged dynamical heterogeneities as dynamical arrest is approached. Here we focus on the most direct approach to study these heterogeneities: we identify clusters of slow...
cond-mat_dis-nn
Entanglement entropy of random partitioning: We study the entanglement entropy of random partitions in one- and two-dimensional critical fermionic systems. In an infinite system we consider a finite, connected (hypercubic) domain of linear extent $L$, the points of which with probability $p$ belong to the subsystem. Th...
cond-mat_dis-nn
Short-range Magnetic interactions in the Spin-Ice compound Ho$_{2}$Ti$_{2}$O$_{7}$: Magnetization and susceptibility studies on single crystals of the pyrochlore Ho$_{2}$Ti$_{2}$O$_{7}$ are reported for the first time. Magnetization isotherms are shown to be qualitatively similar to that predicted by the nearest neig...
cond-mat_dis-nn
Method to solve quantum few-body problems with artificial neural networks: A machine learning technique to obtain the ground states of quantum few-body systems using artificial neural networks is developed. Bosons in continuous space are considered and a neural network is optimized in such a way that when particle po...
cond-mat_dis-nn
Comprehensive study of the critical behavior in the diluted antiferromagnet in a field: We study the critical behavior of the Diluted Antiferromagnet in a Field with the Tethered Monte Carlo formalism. We compute the critical exponents (including the elusive hyperscaling violations exponent $\theta$). Our results pro...
cond-mat_dis-nn
Unraveling the nature of carrier mediated ferromagnetism in diluted magnetic semiconductors: After more than a decade of intensive research in the field of diluted magnetic semiconductors (DMS), the nature and origin of ferromagnetism, especially in III-V compounds is still controversial. Many questions and open issu...
cond-mat_dis-nn
Thermodynamics of bidirectional associative memories: In this paper we investigate the equilibrium properties of bidirectional associative memories (BAMs). Introduced by Kosko in 1988 as a generalization of the Hopfield model to a bipartite structure, the simplest architecture is defined by two layers of neurons, with ...
cond-mat_dis-nn
Quasicrystalline Bose glass in the absence of disorder and quasidisorder: We study the low-temperature phases of interacting bosons on a two-dimensional quasicrystalline lattice. By means of numerically exact Path Integral Monte Carlo simulations, we show that for sufficiently weak interactions the system is a homogene...
cond-mat_dis-nn
Bose-Bose mixtures in a weak-disorder potential: Fluctuations and superfluidity: We study the properties of a homogeneous dilute Bose-Bose gas in a weak-disorder potential at zero temperature. By using the perturbation theory, we calculate the disorder corrections to the condensate density, the equation of state, the...
cond-mat_dis-nn
Universality of the Wigner time delay distribution for one-dimensional random potentials: We show that the distribution of the time delay for one-dimensional random potentials is universal in the high energy or weak disorder limit. Our analytical results are in excellent agreement with extensive numerical simulations...
cond-mat_dis-nn
Interaction-enhanced integer quantum Hall effect in disordered systems: We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant for insul...
cond-mat_dis-nn
Random matrices with row constraints and eigenvalue distributions of graph Laplacians: Symmetric matrices with zero row sums occur in many theoretical settings and in real-life applications. When the offdiagonal elements of such matrices are i.i.d. random variables and the matrices are large, the eigenvalue distribut...
cond-mat_dis-nn
Note: Effect of localization on mean-field density of state near jamming: We discuss the effects of the localized modes on the density of state $D(\omega)$ by introducing the probability distribution function of the proximity to the marginal stability. Our theoretical treatment reproduces the numerical results in finit...
cond-mat_dis-nn
Phase Transition in the Random Anisotropy Model: The influence of a local anisotropy of random orientation on a ferromagnetic phase transition is studied for two cases of anisotropy axis distribution. To this end a model of a random anisotropy magnet is analyzed by means of the field theoretical renormalization group a...
cond-mat_dis-nn
Atomistic simulation of nearly defect-free models of amorphous silicon: An information-based approach: We present an information-based total-energy optimization method to produce nearly defect-free structural models of amorphous silicon. Using geometrical, structural and topological information from disordered tetrah...
cond-mat_dis-nn
Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered, interacting quantum spin chain: We consider the random-field Heisenberg model, a paradigmatic model for many-body localization (MBL), and add a Markovian dephasing bath coupled to the Anderson orbitals of the m...
cond-mat_dis-nn
Spatial Structure of the Internet Traffic: The Internet infrastructure is not virtual: its distribution is dictated by social, geographical, economical, or political constraints. However, the infrastructure's design does not determine entirely the information traffic and different sources of complexity such as the intr...
cond-mat_dis-nn
Anderson localization in Bose-Einstein condensates: The understanding of disordered quantum systems is still far from being complete, despite many decades of research on a variety of physical systems. In this review we discuss how Bose-Einstein condensates of ultracold atoms in disordered potentials have opened a new w...
cond-mat_dis-nn
q-Random Matrix Ensembles: Theory of Random Matrix Ensembles have proven to be a useful tool in the study of the statistical distribution of energy or transmission levels of a wide variety of physical systems. We give an overview of certain q-generalizations of the Random Matrix Ensembles, which were first introduced i...
cond-mat_dis-nn
Spectra of Modular and Small-World Matrices: We compute spectra of symmetric random matrices describing graphs with general modular structure and arbitrary inter- and intra-module degree distributions, subject only to the constraint of finite mean connectivities. We also evaluate spectra of a certain class of small-wor...
cond-mat_dis-nn
Current Redistribution in Resistor Networks: Fat-Tail Statistics in Regular and Small-World Networks: The redistribution of electrical currents in resistor networks after single-bond failures is analyzed in terms of current-redistribution factors that are shown to depend only on the topology of the network and on the...
cond-mat_dis-nn
Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses: We test for the existence of a spin-glass phase transition, the de Almeida-Thouless line, in an externally-applied (random) magnetic field by performing Monte Carlo simulations on a power-law diluted one-dimensional Isin...
cond-mat_dis-nn
Interface Energy in the Edwards-Anderson model: We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from -1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed to +1). We implement a parallel...
cond-mat_dis-nn
Low-rank combinatorial optimization and statistical learning by spatial photonic Ising machine: The spatial photonic Ising machine (SPIM) [D. Pierangeli et al., Phys. Rev. Lett. 122, 213902 (2019)] is a promising optical architecture utilizing spatial light modulation for solving large-scale combinatorial optimizatio...
cond-mat_dis-nn
Statistics of the Mesoscopic Field: We find in measurements of microwave transmission through quasi-1D dielectric samples for both diffusive and localized waves that the field normalized by the square root of the spatially averaged flux in a given sample configuration is a Gaussian random process with position, polariz...
cond-mat_dis-nn
Slow conductance relaxations; Distinguishing the Electron Glass from extrinsic mechanisms: Slow conductance relaxations are observable in a many condensed matter systems. These are sometimes described as manifestations of a glassy phase. The underlying mechanisms responsible for the slow dynamics are often due to str...
cond-mat_dis-nn
Influence of synaptic depression on memory storage capacity: Synaptic efficacy between neurons is known to change within a short time scale dynamically. Neurophysiological experiments show that high-frequency presynaptic inputs decrease synaptic efficacy between neurons. This phenomenon is called synaptic depression, a...
cond-mat_dis-nn
Simulated annealing, optimization, searching for ground states: The chapter starts with a historical summary of first attempts to optimize the spin glass Hamiltonian, comparing it to recent results on searching largest cliques in random graphs. Exact algorithms to find ground states in generic spin glass models are the...
cond-mat_dis-nn
Sequence Nets: We study a new class of networks, generated by sequences of letters taken from a finite alphabet consisting of $m$ letters (corresponding to $m$ types of nodes) and a fixed set of connectivity rules. Recently, it was shown how a binary alphabet might generate threshold nets in a similar fashion [Hagberg ...
cond-mat_dis-nn
On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice: By means of numerical simulations and epidemic analysis, the transition point of the stochastic, asynchronous Susceptible-Infected-Recovered (SIR) model on a square lattice is found to be c_0=0.1765005(10), where c is the ...
cond-mat_dis-nn
Slow Nonthermalizing Dynamics in a Quantum Spin Glass: Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a quantum-interference effect. Here we study...
cond-mat_dis-nn
Universal crossover from ground state to excited-state quantum criticality: We study the nonequilibrium properties of a nonergodic random quantum chain in which highly excited eigenstates exhibit critical properties usually associated with quantum critical ground states. The ground state and excited states of this sy...
cond-mat_dis-nn
Breakdown of Dynamical Scale Invariance in the Coarsening of Fractal Clusters: We extend a previous analysis [PRL {\bf 80}, 4693 (1998)] of breakdown of dynamical scale invariance in the coarsening of two-dimensional DLAs (diffusion-limited aggregates) as described by the Cahn-Hilliard equation. Existence of a second...
cond-mat_dis-nn
Real space information from Fluctuation electron microscopy: Applications to amorphous silicon: Ideal models of complex materials must satisfy all available information about the system. Generally, this information consists of experimental data, information implicit to sophisticated interatomic interactions and poten...
cond-mat_dis-nn
Network Synchronization, Diffusion, and the Paradox of Heterogeneity: Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in networks of os...
cond-mat_dis-nn
Slow conductance relaxations; Distinguishing the Electron Glass from extrinsic mechanisms: Slow conductance relaxations are observable in a many condensed matter systems. These are sometimes described as manifestations of a glassy phase. The underlying mechanisms responsible for the slow dynamics are often due to str...
cond-mat_dis-nn
Free energy fluctuations and chaos in the Sherrington-Kirkpatrick model: The sample-to-sample fluctuations Delta F_N of the free energy in the Sherrington-Kirkpatrick model are shown rigorously to be related to bond chaos. Via this connection, the fluctuations become analytically accessible by replica methods. The repl...
cond-mat_dis-nn
Network synchronization: Optimal and Pessimal Scale-Free Topologies: By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We explore how the optimization process affects degree-degree correlations and...
cond-mat_dis-nn
Soft-margin classification of object manifolds: A neural population responding to multiple appearances of a single object defines a manifold in the neural response space. The ability to classify such manifolds is of interest, as object recognition and other computational tasks require a response that is insensitive to ...
cond-mat_dis-nn
Localization of vibrational modes in high-entropy oxides: The recently-discovered high-entropy oxides offer a paradoxical combination of crystalline arrangement and high disorder. They differ qualitatively from established paradigms for disordered solids such as glasses and alloys. In these latter systems, it is well k...
cond-mat_dis-nn
Distribution of velocities in an avalanche, and related quantities: Theory and numerical verification: We study several probability distributions relevant to the avalanche dynamics of elastic interfaces driven on a random substrate: The distribution of size, duration, lateral extension or area, as well as velocities....
cond-mat_dis-nn
Localization of weakly disordered flat band states: Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact localized eigenstates. We study the robustness of this loca...
cond-mat_dis-nn
Phase Ordering and Onset of Collective Behavior in Chaotic Coupled Map Lattices: The phase ordering properties of lattices of band-chaotic maps coupled diffusively with some coupling strength $g$ are studied in order to determine the limit value $g_e$ beyond which multistability disappears and non-trivial collective ...
cond-mat_dis-nn
Statistical Mechanical Development of a Sparse Bayesian Classifier: The demand for extracting rules from high dimensional real world data is increasing in various fields. However, the possible redundancy of such data sometimes makes it difficult to obtain a good generalization ability for novel samples. To resolve this...
cond-mat_dis-nn
Critical Line in Random Threshold Networks with Inhomogeneous Thresholds: We calculate analytically the critical connectivity $K_c$ of Random Threshold Networks (RTN) for homogeneous and inhomogeneous thresholds, and confirm the results by numerical simulations. We find a super-linear increase of $K_c$ with the (averag...
cond-mat_dis-nn