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Energy distribution of maxima and minima in a one-dimensional random system: We study the energy distribution of maxima and minima of a simple one-dimensional disordered Hamiltonian. We find that in systems with short range correlated disorder there is energy separation between maxima and minima, such that at fixed e...
cond-mat_dis-nn
Machine-learning assisted quantum control in random environment: Disorder in condensed matter and atomic physics is responsible for a great variety of fascinating quantum phenomena, which are still challenging for understanding, not to mention the relevant dynamical control. Here we introduce proof of the concept and a...
cond-mat_dis-nn
Spin relaxation in a Rashba semiconductor in an electric field: The impact of an external electric field on the spin relaxation in a disordered two-dimensional electron system is studied within the framework of a field-theoretical formulation. Generalized Bloch-equations for the diffusion and the decay of an initial ma...
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Analytical solutions for Ising models on high dimensional lattices: We use an m-vicinity method to examine Ising models on hypercube lattices of high dimensions d>=3. This method is applicable for both short-range and long-range interactions. We introduce a small parameter, which determines whether the method can be us...
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A new view of the Lindemann criterion: The Lindemann criterion is reformulated in terms of the average shear modulus $G_c$ of the melting crystal, indicating a critical melting shear strain which is necessary to form the many different inherent states of the liquid. In glass formers with covalent bonds, one has to dist...
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Generalized Lyapunov Exponent and Transmission Statistics in One-dimensional Gaussian Correlated Potentials: Distribution of the transmission coefficient T of a long system with a correlated Gaussian disorder is studied analytically and numerically in terms of the generalized Lyapunov exponent (LE) and the cumulants ...
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Many-body localization in a fragmented Hilbert space: We study many-body localization (MBL) in a pair-hopping model exhibiting strong fragmentation of the Hilbert space. We show that several Krylov subspaces have both ergodic statistics in the thermodynamic limit and a dimension that scales much slower than the full Hi...
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New universal conductance fluctuation of mesoscopic systems in the crossover regime from metal to insulator: We report a theoretical investigation on conductance fluctuation of mesoscopic systems. Extensive numerical simulations on quasi-one dimensional, two dimensional, and quantum dot systems with different symmetr...
cond-mat_dis-nn
Random maps and attractors in random Boolean networks: Despite their apparent simplicity, random Boolean networks display a rich variety of dynamical behaviors. Much work has been focused on the properties and abundance of attractors. The topologies of random Boolean networks with one input per node can be seen as grap...
cond-mat_dis-nn
Network Structure, Topology and Dynamics in Generalized Models of Synchronization: We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state, int...
cond-mat_dis-nn
Duality in finite-dimensional spin glasses: We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emer...
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Erratum: Small-world networks: Evidence for a crossover picture: We correct the value of the exponent \tau.
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Solvable Models of Supercooled Liquids in Three Dimensions: We introduce a supercooled liquid model and obtain parameter-free quantitative predictions that are in excellent agreement with numerical simulations, notably in the hard low-temperature region characterized by strong deviations from Mode-Coupling-Theory behav...
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On the ground states of the Bernasconi model: The ground states of the Bernasconi model are binary +1/-1 sequences of length N with low autocorrelations. We introduce the notion of perfect sequences, binary sequences with one-valued off-peak correlations of minimum amount. If they exist, they are ground states. Using r...
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Hyperuniform vortex patterns at the surface of type-II superconductors: A many-particle system must posses long-range interactions in order to be hyperuniform at thermal equilibrium. Hydrodynamic arguments and numerical simulations show, nevertheless, that a three-dimensional elastic-line array with short-ranged repuls...
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Relationship between non-exponentiality of relaxation and relaxation time at the glass transition: By analyzing the experimental data for various glass-forming liquids and polymers, we find that non-exponentiality $\beta$ and the relaxation time $\tau$ are uniquely related: $\log(\tau)$ is an approximately linear fun...
cond-mat_dis-nn
High values of disorder-generated multifractals and logarithmically correlated processes: In the introductory section of the article we give a brief account of recent insights into statistics of high and extreme values of disorder-generated multifractals following a recent work by the first author with P. Le Doussal ...
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On Properties of Boundaries and Electron Conductivity in Mesoscopic Polycrystalline Silicon Films for Memory Devices: We present the results of molecular dynamics modeling on the structural properties of grain boundaries (GB) in thin polycrystalline films. The transition from crystalline boundaries with low mismatch ...
cond-mat_dis-nn
On the polyamorphism of fullerite-based orientational glasses: The dilatometric investigation in the temperature range of 2-28K shows that a first-order polyamorphous transition occurs in the orientational glasses based on C60 doped with H2, D2 and Xe. A polyamorphous transition was also detected in C60 doped with Kr a...
cond-mat_dis-nn
Cracks in random brittle solids: From fiber bundles to continuum mechanics: Statistical models are essential to get a better understanding of the role of disorder in brittle disordered solids. Fiber bundle models play a special role as a paradigm, with a very good balance of simplicity and non-trivial effects. We int...
cond-mat_dis-nn
Resonance width distribution for high-dimensional random media: We study the distribution of resonance widths P(G) for three-dimensional (3D) random scattering media and analyze how it changes as a function of the randomness strength. We are able to identify in P(G) the system-inherent fingerprints of the metallic, loc...
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Activity patterns on random scale-free networks: Global dynamics arising from local majority rules: Activity or spin patterns on random scale-free network are studied by mean field analysis and computer simulations. These activity patterns evolve in time according to local majority-rule dynamics which is implemented ...
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Non-Arrhenius Behavior of Secondary Relaxation in Supercooled Liquids: Dielectric relaxation spectroscopy (1 Hz - 20 GHz) has been performed on supercooled glass-formers from the temperature of glass transition (T_g) up to that of melting. Precise measurements particularly in the frequencies of MHz-order have revealed ...
cond-mat_dis-nn
Bond dilution in the 3D Ising model: a Monte Carlo study: We study by Monte Carlo simulations the influence of bond dilution on the three-dimensional Ising model. This paradigmatic model in its pure version displays a second-order phase transition with a positive specific heat critical exponent $\alpha$. According to t...
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Analytical representations for relaxation functions of glasses: Analytical representations in the time and frequency domains are derived for the most frequently used phenomenological fit functions for non-Debye relaxation processes. In the time domain the relaxation functions corresponding to the complex frequency depe...
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Crossover from Scale-Free to Spatial Networks: In many networks such as transportation or communication networks, distance is certainly a relevant parameter. In addition, real-world examples suggest that when long-range links are existing, they usually connect to hubs-the well connected nodes. We analyze a simple model...
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Managing catastrophic changes in a collective: We address the important practical issue of understanding, predicting and eventually controlling catastrophic endogenous changes in a collective. Such large internal changes arise as macroscopic manifestations of the microscopic dynamics, and their presence can be regarded...
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Statistical Mechanics of Online Learning of Drifting Concepts : A Variational Approach: We review the application of Statistical Mechanics methods to the study of online learning of a drifting concept in the limit of large systems. The model where a feed-forward network learns from examples generated by a time depend...
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Disorder driven itinerant quantum criticality of three dimensional massless Dirac fermions: Progress in the understanding of quantum critical properties of itinerant electrons has been hindered by the lack of effective models which are amenable to controlled analytical and numerically exact calculations. Here we esta...
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Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results: We employ the Random Matrix Theory framework to calculate the density of zeroes of an $M$-channel scattering matrix describing a chaotic cavity with a single localized absorber em...
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Intermittent dynamics and logarithmic domain growth during the spinodal decomposition of a glass-forming liquid: We use large-scale molecular dynamics simulations of a simple glass-forming system to investigate how its liquid-gas phase separation kinetics depends on temperature. A shallow quench leads to a fully demi...
cond-mat_dis-nn
The Cavity Approach to Noisy Learning in Nonlinear Perceptrons: We analyze the learning of noisy teacher-generated examples by nonlinear and differentiable student perceptrons using the cavity method. The generic activation of an example is a function of the cavity activation of the example, which is its activation in ...
cond-mat_dis-nn
Machine learning assisted measurement of local topological invariants: The continuous effort towards topological quantum devices calls for an efficient and non-invasive method to assess the conformity of components in different topological phases. Here, we show that machine learning paves the way towards non-invasive t...
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Structural Signatures for Thermodynamic Stability in Vitreous Silica: Insight from Machine Learning and Molecular Dynamics Simulations: The structure-thermodynamic stability relationship in vitreous silica is investigated using machine learning and a library of 24,157 inherent structures generated from melt-quenching...
cond-mat_dis-nn
Origin of the unusual dependence of Raman D band on excitation wavelength in graphite-like materials: We have revisited the still unresolved puzzle of the dispersion of the Raman disordered-induced D band as a function of laser excitation photon energy E$_L$ in graphite-like materials. We propose that the D-mode is a...
cond-mat_dis-nn
Infrared-Induced Sluggish Dynamics in the GeSbTe Electron Glass: The electron-glass dynamics of Anderson-localized GeSbTe films is dramatically slowed-down following a brief infrared illumination that increases the system carrier-concentration (and thus its conductance). These results demonstrate that the dynamics exhi...
cond-mat_dis-nn
Inducing periodicity in lattices of chaotic maps with advection: We investigate a lattice of coupled logistic maps where, in addition to the usual diffusive coupling, an advection term parameterized by an asymmetry in the coupling is introduced. The advection term induces periodic behavior on a significant number of no...
cond-mat_dis-nn
Statistical Mechanics of Dictionary Learning: Finding a basis matrix (dictionary) by which objective signals are represented sparsely is of major relevance in various scientific and technological fields. We consider a problem to learn a dictionary from a set of training signals. We employ techniques of statistical mech...
cond-mat_dis-nn
Anomalously Strong Nonlinearity of Unswept Quartz Acoustic Cavities at Liquid Helium Temperatures: We demonstrate a variety of nonlinear phenomena at extremely low powers in cryogenic acoustic cavities fabricated from quartz material, which have not undergone any electrodiffusion processes. Nonlinear phenomena observ...
cond-mat_dis-nn
Avalanches in Tip-Driven Interfaces in Random Media: We analyse by numerical simulations and scaling arguments the avalanche statistics of 1-dimensional elastic interfaces in random media driven at a single point. Both global and local avalanche sizes are power-law distributed, with universal exponents given by the dep...
cond-mat_dis-nn
The Leontovich boundary conditions and calculation of effective impedance of inhomogeneous metal: We bring forward rather simple algorithm allowing us to calculate the effective impedance of inhomogeneous metals in the frequency region where the local Leontovich (the impedance) boundary conditions are justified. The ...
cond-mat_dis-nn
StrainTensorNet: Predicting crystal structure elastic properties using SE(3)-equivariant graph neural networks: Accurately predicting the elastic properties of crystalline solids is vital for computational materials science. However, traditional atomistic scale ab initio approaches are computationally intensive, espe...
cond-mat_dis-nn
Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass: The nature of the ordering of the three-dimensional isotropic Heisenberg spin glass with nearest-neighbor random Gaussian coupling is studied by extensive Monte Carlo simulations. Several independent physical quantiti...
cond-mat_dis-nn
Ground-State and Domain-Wall Energies in the Spin-Glass Region of the 2D $\pm J$ Random-Bond Ising Model: The statistics of the ground-state and domain-wall energies for the two-dimensional random-bond Ising model on square lattices with independent, identically distributed bonds of probability $p$ of $J_{ij}= -1$ an...
cond-mat_dis-nn
Phase diagram of disordered fermion model on two-dimensional square lattice with $π$-flux: A fermion model with random on-site potential defined on a two-dimensional square lattice with $\pi$-flux is studied. The continuum limit of the model near the zero energy yields Dirac fermions with random potentials specified ...
cond-mat_dis-nn
Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current: The Lindblad dynamics of the XX quantum chain with large random fields $h_j$ (the couplings $J_j$ can be either uniform or random) is considered for boundary-magnetization-d...
cond-mat_dis-nn
Comment on "Scaling behavior of classical wave transport in mesoscopic media at the localization transition": We emphasize the importance of the position dependence of the diffusion coefficient D(r) in the self-consistent theory of localization and argue that the scaling law T ~ ln(L)/L^2 obtained by Cheung and Zhang...
cond-mat_dis-nn
Many-Body-Localization Transition : strong multifractality spectrum for matrix elements of local operators: For short-ranged disordered quantum models in one dimension, the Many-Body-Localization is analyzed via the adaptation to the Many-Body context [M. Serbyn, Z. Papic and D.A. Abanin, PRX 5, 041047 (2015)] of the...
cond-mat_dis-nn
Laser beam filamentation in fractal aggregates: We investigate filamentation of a cw laser beam in soft matter such as colloidal suspensions and fractal gels. The process, driven by electrostriction, is strongly affected by material properties, which are taken into account via the static structure factor, and have impa...
cond-mat_dis-nn
Laser beam filamentation in fractal aggregates: We investigate filamentation of a cw laser beam in soft matter such as colloidal suspensions and fractal gels. The process, driven by electrostriction, is strongly affected by material properties, which are taken into account via the static structure factor, and have impa...
cond-mat_dis-nn
Capillary forces in the acoustics of patchy-saturated porous media: A linearized theory of the acoustics of porous elastic formations, such as rocks, saturated with two different viscous fluids is generalized to take into account a pressure discontinuity across the fluid boundaries. The latter can arise due to the surf...
cond-mat_dis-nn
Extremal statistics of entanglement eigenvalues can track the many-body localized to ergodic transition: Some interacting disordered many-body systems are unable to thermalize when the quenched disorder becomes larger than a threshold value. Although several properties of nonzero energy density eigenstates (in the mi...
cond-mat_dis-nn
Information on mean, fluctuation and synchrony conveyed by a population of firing neurons: A population of firing neurons is expected to carry not only mean firing rate but also its fluctuation and synchrony among neurons. In order to examine this possibility, we have studied responses of neuronal ensembles to three ...
cond-mat_dis-nn
Phase diagram of superfluid 3He in "nematically ordered" aerogel: Results of experiments with liquid 3He immersed in a new type of aerogel are described. This aerogel consists of Al2O3 strands which are nearly parallel to each other, so we call it as a "nematically ordered" aerogel. At all used pressures a superfluid t...
cond-mat_dis-nn
Two-dimensional systems of elongated particles: From diluted to dense: This chapter is devoted to the analysis of jamming and percolation behavior of two-dimensional systems of elongated particles. We consider both continuous and discrete spaces (with the special attention to the square lattice), as well the systems wi...
cond-mat_dis-nn
Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions: We consider the change in electron localization due to the presence of electron-electron repulsion in the \HA model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, ...
cond-mat_dis-nn
Monte Carlo Simulations of a Generalized n--spin facilitated kinetic Ising Model: A kinetic Ising model is analyzed where spin variables correspond to lattice cells with mobile or immobile particles. Introducing additional restrictions for the flip processes according to the n-spin facilitated kinetic Ising model and...
cond-mat_dis-nn
Can Local Stress Enhancement Induce Stability in Fracture Processes? Part II: The Shielding Effect: We use the local load sharing fiber bundle model to demonstrate a shielding effect where strong fibers protect weaker ones. This effect exists due to the local stress enhancement around broken fibers in the local load ...
cond-mat_dis-nn
Eight orders of dynamical clusters and hard-spheres in the glass transition: The nature may be disclosed that the glass transition is only determined by the intrinsic 8 orders of instant 2-D mosaic geometric structures, without any presupposition and relevant parameter. An interface excited state on the geometric str...
cond-mat_dis-nn
Biased doped silicene as a source for advanced electronics: Restructuring of electronic spectrum in a buckled silicene monolayer under some applied voltage between its two sublattices and in presence of certain impurity atoms is considered. A special attention is given to formation of localized impurity levels within t...
cond-mat_dis-nn
Eigenstate phases with finite on-site non-Abelian symmetry: We study the eigenstate phases of disordered spin chains with on-site finite non-Abelian symmetry. We develop a general formalism based on standard group theory to construct local spin Hamiltonians invariant under any on-site symmetry. We then specialize to th...
cond-mat_dis-nn
The Eigenvalue Analysis of the Density Matrix of 4D Spin Glasses Supports Replica Symmetry Breaking: We present a general and powerful numerical method useful to study the density matrix of spin models. We apply the method to finite dimensional spin glasses, and we analyze in detail the four dimensional Edwards-Ander...
cond-mat_dis-nn
Topological phase transitions in random Kitaev $α$-chains: The topological phases of random Kitaev $\alpha$-chains are labelled by the number of localized edge Majorana Zero Modes. The critical lines between these phases thus correspond to delocalization transitions for these localized edge Majorana Zero Modes. For the...
cond-mat_dis-nn
Strong Griffiths singularities in random systems and their relation to extreme value statistics: We consider interacting many particle systems with quenched disorder having strong Griffiths singularities, which are characterized by the dynamical exponent, z, such as random quantum systems and exclusion processes. In ...
cond-mat_dis-nn
Diluted neural networks with adapting and correlated synapses: We consider the dynamics of diluted neural networks with clipped and adapting synapses. Unlike previous studies, the learning rate is kept constant as the connectivity tends to infinity: the synapses evolve on a time scale intermediate between the quenched ...
cond-mat_dis-nn
Machine learning magnetic parameters from spin configurations: Hamiltonian parameter estimation is crucial in condensed matter physics, but time and cost consuming in terms of resources used. With advances in observation techniques, high-resolution images with more detailed information are obtained, which can serve as ...
cond-mat_dis-nn
A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers: We consider the transmission of massless Dirac fermions through an array of short range scatterers which are modeled as randomly positioned $\delta$- function like potentials along the x-axis. We ...
cond-mat_dis-nn
Absence of Mobility Edge in Short-range Uncorrelated Disordered Model: Coexistence of Localized and Extended States: Unlike the well-known Mott's argument that extended and localized states should not coexist at the same energy in a generic random potential, we provide an example of a nearest-neighbor tight-binding d...
cond-mat_dis-nn
Competition between Barrier- and Entropy-Driven Activation in Glasses: In simplified models of glasses we clarify the existence of two different kinds of activated dynamics, which coexist, with one of the two dominating over the other. One is the energy barrier hopping that is typically used to picture activation, and ...
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Non-equilibrium criticality and efficient exploration of glassy landscapes with memory dynamics: Spin glasses are notoriously difficult to study both analytically and numerically due to the presence of frustration and metastability. Their highly non-convex landscapes require collective updates to explore efficiently....
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Quantum dynamics in strongly driven random dipolar magnets: The random dipolar magnet LiHo$_x$Y$_{1-x}$F$_4$ enters a strongly frustrated regime for small Ho$^{3+}$ concentrations with $x<0.05$. In this regime, the magnetic moments of the Ho$^{3+}$ ions experience small quantum corrections to the common Ising approxima...
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Phase boundary near a magnetic percolation transition: Motivated by recent experimental observations [Phys. Rev. 96, 020407 (2017)] on hexagonal ferrites, we revisit the phase diagrams of diluted magnets close to the lattice percolation threshold. We perform large-scale Monte Carlo simulations of XY and Heisenberg mode...
cond-mat_dis-nn
Fidelity susceptibility in Gaussian Random Ensembles: The fidelity susceptibility measures sensitivity of eigenstates to a change of an external parameter. It has been fruitfully used to pin down quantum phase transitions when applied to ground states (with extensions to thermal states). Here we propose to use the fide...
cond-mat_dis-nn
Universality of phonon transport in surface-roughness dominated nanowires: We analyze, both theoretically and numerically, the temperature dependent thermal conductivity \k{appa} of two-dimensional nanowires with surface roughness. Although each sample is characterized by three independent parameters - the diameter (...
cond-mat_dis-nn
A glassy phase in quenched disordered graphene and crystalline membranes: We investigate the flat phase of $D$-dimensional crystalline membranes embedded in a $d$-dimensional space and submitted to both metric and curvature quenched disorders using a nonperturbative renormalization group approach. We identify a second ...
cond-mat_dis-nn
Possibly Exact Solution for the Multicritical Point of Finite-Dimensional Spin Glasses: After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimensional spin glasses. The theory enables us to under...
cond-mat_dis-nn
Random Mass Dirac Fermions in Doped Spin-Peierls and Spin-Ladder systems: One-Particle Properties and Boundary Effects: Quasi-one-dimensional spin-Peierls and spin-ladder systems are characterized by a gap in the spin-excitation spectrum, which can be modeled at low energies by that of Dirac fermions with a mass. In ...
cond-mat_dis-nn
Finite-size corrections in the random assignment problem: We analytically derive, in the context of the replica formalism, the first finite size corrections to the average optimal cost in the random assignment problem for a quite generic distribution law for the costs. We show that, when moving from a power-law distrib...
cond-mat_dis-nn
Temperature-dependent disorder and magnetic field driven disorder: experimental observations for doped GaAs/AlGaAs quantum well structures: We report experimental studies of conductance and magnetoconductance of GaAs/AlGaAs quantum well structures where both wells and barriers are doped by acceptor impurity Be. Tempe...
cond-mat_dis-nn
T=0 phase diagram and nature of domains in ultrathin ferromagnetic films with perpendicular anisotropy: We present the complete zero temperature phase diagram of a model for ultrathin films with perpendicular anisotropy. The whole parameter space of relevant coupling constants is studied in first order anisotropy app...
cond-mat_dis-nn
Normal mode analysis of spectra of random networks: Several spectral fluctuation measures of random matrix theory (RMT) have been applied in the study of spectral properties of networks. However, the calculation of those statistics requires performing an unfolding procedure, which may not be an easy task. In this work,...
cond-mat_dis-nn
The Approximate Invariance of the Average Number of Connections for the Continuum Percolation of Squares at Criticality: We perform Monte Carlo simulations to determine the average excluded area $<A_{ex}>$ of randomly oriented squares, randomly oriented widthless sticks and aligned squares in two dimensions. We find ...
cond-mat_dis-nn
Backtracking Dynamical Cavity Method: The cavity method is one of the cornerstones of the statistical physics of disordered systems such as spin glasses and other complex systems. It is able to analytically and asymptotically exactly describe the equilibrium properties of a broad range of models. Exact solutions for dy...
cond-mat_dis-nn
Low-frequency vibrational spectrum of mean-field disordered systems: We study a recently introduced and exactly solvable mean-field model for the density of vibrational states $\mathcal{D}(\omega)$ of a structurally disordered system. The model is formulated as a collection of disordered anharmonic oscillators, with ra...
cond-mat_dis-nn
A Complex Network Analysis on The Eigenvalue Spectra of Random Spin Systems: Recent works have established a novel viewpoint that treats the eigenvalue spectra of disordered quantum systems as time-series, and corresponding algorithms such as singular-value-decomposition has proven its advantage in studying subtle ph...
cond-mat_dis-nn
Analyses of kinetic glass transition in short-range attractive colloids based on time-convolutionless mode-coupling theory: The kinetic glass transition in short-range attractive colloids is theoretically studied by time-convolutionless mode-coupling theory (TMCT). By numerical calculations, TMCT is shown to recover ...
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Maximum-energy records in glassy energy landscapes: We study the evolution of the maximum energy $E_\max(t)$ reached between time $0$ and time $t$ in the dynamics of simple models with glassy energy landscapes, in instant quenches from infinite temperature to a target temperature $T$. Through a detailed description of ...
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Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and André-Aubry-Harper Models: We discuss and compare two recently proposed toy models for anomalous transport and Griffiths effects in random systems near the Many-Body Localization transitions: the random de...
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A frozen glass phase in the multi-index matching problem: The multi-index matching is an NP-hard combinatorial optimization problem; for two indices it reduces to the well understood bipartite matching problem that belongs to the polynomial complexity class. We use the cavity method to solve the thermodynamics of the m...
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Spatio-temporal heterogeneity of entanglement in many-body localized systems: We propose a spatio-temporal characterization of the entanglement dynamics in many-body localized (MBL) systems, which exhibits a striking resemblance with dynamical heterogeneity in classical glasses. Specifically, we find that the relaxat...
cond-mat_dis-nn
Resistance distribution in the hopping percolation model: We study the distribution function, P(rho), of the effective resistance, rho, in two and three-dimensional random resistor network of linear size L in the hopping percolation model. In this model each bond has a conductivity taken from an exponential form \sigma...
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Coupled electron--heat transport in nonuniform thin film semiconductor structures: A theory of transverse electron transport coupled with heat transfer in semiconductor thin films is developed conceptually modeling structures of modern electronics. The transverse currents generate Joule heat with positive feedback th...
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Depinning exponents of the driven long-range elastic string: We perform a high-precision calculation of the critical exponents for the long-range elastic string driven through quenched disorder at the depinning transition, at zero temperature. Large-scale simulations are used to avoid finite-size effects and to enable ...
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Scale Invariance in Percolation Theory and Fractals: The properties of the similarity transformation in percolation theory in the complex plane of the percolation probability are studied. It is shown that the percolation problem on a two-dimensional square lattice reduces to the Mandelbrot transformation, leading to a ...
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Rapid algorithm for identifying backbones in the two-dimensional percolation model: We present a rapid algorithm for identifying the current-carrying backbone in the percolation model. It applies to general two-dimensional graphs with open boundary conditions. Complemented by the modified Hoshen-Kopelman cluster labe...
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Short-Range Spin Glasses: The Metastate Approach: We discuss the metastate, a probability measure on thermodynamic states, and its usefulness in addressing difficult questions pertaining to the statistical mechanics of systems with quenched disorder, in particular short-range spin glasses. The possible low-temperature ...
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How to guess the inter magnetic bubble potential by using a simple perceptron ?: It is shown that magnetic bubble films behaviour can be described by using a 2D super-Ising hamiltonian. Calculated hysteresis curves and magnetic domain patterns are successfully compared with experimental results taken in literature. T...
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Kovacs effect in solvable model glasses: The Kovacs protocol, based on the temperature shift experiment originally conceived by A.J. Kovacs and applied on glassy polymers, is implemented in an exactly solvable model with facilitated dynamics. This model is based on interacting fast and slow modes represented respective...
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Non-equilibrium physics: from spin glasses to machine and neural learning: Disordered many-body systems exhibit a wide range of emergent phenomena across different scales. These complex behaviors can be utilized for various information processing tasks such as error correction, learning, and optimization. Despite the...
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On Renyi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems: We discuss some properties of the generalized entropies, called Renyi entropies and their application to the case of continuous distributions. In particular it is shown that...
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