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Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formulas to estimate the KS entropy and a lower bound of it, a…

混沌动力学 · 物理学 2015-05-14 M. S. Baptista , E. J. Ngamga , Paulo R. F. Pinto , Margarida Brito , J. Kurths

Activity-mediated unjamming of a confluent glassy system is crucial for several biological processes, such as embryogenesis and cancer metastasis. During these processes, the cells progressively change their junction properties,…

软凝聚态物质 · 物理学 2025-05-13 Souvik Sadhukhan , Chandan Dasgupta , Saroj Kumar Nandi

We compute the dynamical structure factor S(q,tau) of an elastic medium where force dipoles appear at random in space and in time, due to `micro-collapses' of the structure. Various regimes are found, depending on the wave vector q and the…

凝聚态物理 · 物理学 2009-11-07 J-P Bouchaud , E. Pitard

We discuss mean field theory of glasses without quenched disorder focusing on the justification of the replica approach to thermodynamics. We emphasize the assumptions implicit in this method and discuss how they can be verified. The…

无序系统与神经网络 · 物理学 2009-10-31 L. B. Ioffe , A. V. Lopatin

We compare dynamical heterogeneities in equilibrated supercooled liquids and in the nonequilibrium glassy state within the framework of the random first order transition theory. Fluctuating mobility generation and transport in the glass are…

统计力学 · 物理学 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

We conjecture that for a wide class of interacting particle systems evolving in discrete time, namely conservative cellular automata with piecewise linear flow diagram, relaxation to the limit set follows the same power law at critical…

元胞自动机与格子气 · 物理学 2009-11-07 Henryk Fuks , Nino Boccara

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

We present new Neutron Spin Echo (NSE) results and a revisited analysis of historical data on spin glasses, which reveal a pure power-law time decay of the spin autocorrelation function $s(Q,t) = S(Q,t)/S(Q)$ at the glass temperature $T_g$,…

无序系统与神经网络 · 物理学 2009-11-10 C. Pappas , F. Mezei , G. Ehlers , P. Manuel , I. A. Campbell

We study the violation of the fluctuation-dissipation theorem in the three and four dimensional Gaussian Ising spin glasses using on and off equilibrium simulations. We have characterized numerically the function X(C) that determine the…

无序系统与神经网络 · 物理学 2009-10-30 Enzo Marinari , Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

We investigate the relaxation mechanism of a supercooled tetrahedral liquid at its limit of stability using isothermal isobaric ($NPT$) Monte Carlo (MC) simulations. In similarity with systems which are far from equilibrium but near the…

统计力学 · 物理学 2017-09-06 Arvind Kumar Gautam , Nandlal Pingua , Aashish Goyal , Pankaj A. Apte

We present a first-principles formalism for studying dynamical heterogeneities in glass forming liquids. Based on the Non-Equilibrium Self-Consistent Generalized Langevin Equation theory, we were able to describe the time-dependent local…

软凝聚态物质 · 物理学 2022-04-06 J. Lira-Escobedo , J. R. Velez-Cordero , Pedro E. Ramírez-González

We apply the time-dependent current-density functional theory to the study of the relaxation of a closed many-electron system evolving from an non-equilibrium initial state. We show that the self-consistent unitary time evolution generated…

介观与纳米尺度物理 · 物理学 2009-11-11 Roberto D'Agosta , Giovanni Vignale

Glass is an under-cooled liquid that very slowly relaxes towards the equilibrium crystalline state. Its energy balance is ill understood, since it is widely believed that the glassy state cannot be described thermodynamically. However, the…

统计力学 · 物理学 2009-11-07 Theo M. Nieuwenhuizen

The evaluation of the long term stability of a material requires the estimation of its long-time dynamics. For amorphous materials such as structural glasses, it has proven difficult to predict the long-time dynamics starting from static…

软凝聚态物质 · 物理学 2014-05-27 Raffaele Pastore , Antonio Coniglio , Massimo Pica Ciamarra

In a glassy system different degrees of freedom have well-separated characteristic times, and are described by different temperatures. The stationary state is essentially non-equilibrium. A generalized statistical thermodynamics is…

无序系统与神经网络 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

We show that the only solutions of the TAP equations for the Sherrington-Kirkpatrick model of Ising spin glasses which can be found by iteration are those whose free energy lies on the border between replica symmetric and broken replica…

无序系统与神经网络 · 物理学 2019-09-19 T. Aspelmeier , M. A. Moore

We present a detailed analysis for the Langevin dynamics of a spherical spin-glass model (the spherical Sherrington-Kirkpatrick model). All the spins in the system are coupled by pairs via a random interaction matrix taken from the Gaussian…

凝聚态物理 · 物理学 2016-08-31 Leticia F. Cugliandolo , David S. Dean

Integrable many-body systems are characterized by a complete set of preserved actions. Close to an integrable limit, a {\it nonintegrable} perturbation creates a coupling network in action space which can be short- or long-ranged. We…

混沌动力学 · 物理学 2019-10-02 Carlo Danieli , Thudiyangal Mithun , Yagmur Kati , David K. Campbell , Sergej Flach

We present results of a Monte Carlo study of the equilibrium dynamics of the one dimensional long-range Ising spin glass model. By tuning a parameter $\sigma$, this model interpolates between the mean field Sherrington-Kirkpatrick model and…

无序系统与神经网络 · 物理学 2015-07-31 Alain Billoire

The analytical model of a glass-forming system is formulated within the formalism analogous to gauge theory constructions in quantum field theory. This work explores the scope of the proposed approach and investigates the equilibrium…

统计力学 · 物理学 2025-07-15 Son L. D. , Vasin M. G