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The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

Condensed Matter · Physics 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

In this paper, we study a hyperbolic-parabolic coupled system arising in nonlinear three-dimensional thermoelasticity. We establish the global well-posedness and asymptotic behavior of solutions. Our main result shows that, a thermoelastic…

Analysis of PDEs · Mathematics 2026-03-11 Chuang Ma , Bin Guo

Several systems display an equilibrium condensation transition, where a finite fraction of a conserved quantity is spatially localized. The presence of two conservation laws may induce the emergence of such transition in an…

Statistical Mechanics · Physics 2024-09-27 Michele Giusfredi , Stefano Iubini , Paolo Politi

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

We show how many-body ground state entanglement information may be extracted from sub-system energy measurements at zero temperature. Generically, the larger the measured energy fluctuations are, the larger the entanglement is. Examples are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Andrew N. Jordan , Markus Buttiker

We study changes in the chaotic properties of a many-body system undergoing a solid-fluid phase transition. To do this, we compute the temperature dependence of the largest Lyapunov exponents $\lambda_{max}$ for both two- and…

chao-dyn · Physics 2016-08-31 Kyung-Hoon Kwon , Byung-Yoon Park

In this paper, we investigate the stochastic thermodynamics of Fisher information (FI), meaning we characterize both the \textit{fluctuations} of FI, introducing a parastatistics of that quantity, and thermodynamic quantities. We introduce…

Statistical Mechanics · Physics 2025-01-06 Pedro B. Melo , Sílvio M. Duarte Queirós , Welles A. M. Morgado

We address the excess entropy, which is a measure of complexity for stationary time series, from the ordinal point of view. We show that the permutation excess entropy is equal to the mutual information between two adjacent semi-infinite…

Chaotic Dynamics · Physics 2011-12-13 Taichi Haruna , Kohei Nakajima

Dielectric relaxation measurements on supercooled triphenyl phosphite show that at low temperatures time-temperature superposition (TTS) is accurately obeyed for the primary (alpha) relaxation process. Measurements on 6 other molecular…

Soft Condensed Matter · Physics 2009-10-31 Niels Boye Olsen , Tage Christensen , Jeppe C. Dyre

We study the order-disorder transition in two-dimensional incompressible systems of motile particles with alignment interactions through extensive numerical simulations of the incompressible Toner-Tu (ITT) field theory and a detailed…

Statistical Mechanics · Physics 2022-11-23 Wanming Qi , Lei-Han Tang , Hugues Chaté

We study the finite-temperature behavior of the Lipkin-Meshkov-Glick model, with a focus on correlation properties as measured by the mutual information. The latter, which quantifies the amount of both classical and quantum correlations, is…

Statistical Mechanics · Physics 2012-02-01 J. Wilms , J. Vidal , F. Verstraete , S. Dusuel

We present experimental evidence for a first-order freezing/melting phase transition in a nonequilibrium system -- an oscillated two-dimensional isobaric granular fluid. The steady-state transition occurs between a gas and a crystal and is…

Soft Condensed Matter · Physics 2007-05-23 M. D. Shattuck

Supercooled liquid state is a particularly interesting state in that it exhibits several unusual physical properties. To illustrate, the liquid displays a single peak relaxation frequency at high temperatures, which splits into $\alpha$…

Soft Condensed Matter · Physics 2024-12-17 Wenlong Jiang

A two-temperature linear spin model is presented that allows an easily understandable introduction to non-equilibrium statistical physics. The model is one that includes the concepts that are typical of more realistic non-equilibrium models…

Statistical Mechanics · Physics 2009-11-13 I. Mazilu , H. T. Williams

The classical one-phase Stefan problem describes the temperature distribution in a homogeneous medium undergoing a phase transition, such as ice melting to water. This is accomplished by solving the heat equation on a time-dependent domain…

Analysis of PDEs · Mathematics 2013-10-22 Mahir Hadžić , Steve Shkoller

The statistical properties of physical systems in thermal equilibrium are blatantly different from their far-from-equilibrium counterparts. In the latter, fluctuations often dominate the dynamics and might cluster in ordered patterns in the…

Information based thermodynamic logic is revisited. It consists of two parts: Part A applies the modern theory of probability in which an arbitrary convex function \phi is employed as an analytic "device" to express information as…

Statistical Mechanics · Physics 2023-12-07 Bing Miao , Hong Qian , Yong-Shi Wu

We investigate nonequilibrium behavior in (1+1)-dimensional stochastic field theories in the context of Ginzburg-Landau models at varying cooling rates. We argue that a reliable measure of the departure from thermal equilibrium can be…

Statistical Mechanics · Physics 2009-11-07 Carmen J. Gagne , Marcelo Gleiser

The interplay between strong Coulomb interactions and randomness has been a long-standing problem in condensed matter physics. According to the scaling theory of localization, in two-dimensional systems of noninteracting or weakly…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Kravchenko , M. P. Sarachik

The relationship between period doubling bifurcations and Feigenbaum's constants has been studied for nearly 40 years and this relationship has helped uncover many fundamental aspects of universal scaling across multiple nonlinear dynamical…

Adaptation and Self-Organizing Systems · Physics 2013-12-16 Reginald D. Smith
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