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The relationship between statics and dynamics proposed by Franz, Mezard, Parisi and Peliti (FMPP) for slowly relaxing systems [Phys.Rev.Lett. {\bf 81}, 1758 (1998)] is investigated in the framework of non disordered coarsening systems.…

统计力学 · 物理学 2009-10-31 Federico Corberi , Eugenio Lippiello , Marco Zannetti

Drawing from exact, approximate and numerical results an overview of the properties of the out of equilibrium response function in phase ordering kinetics is presented. Focusing on the zero field cooled magnetization, emphasis is on those…

统计力学 · 物理学 2009-11-10 Federico Corberi , Nicola Fusco , Eugenio Lippiello , Marco Zannetti

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the…

统计力学 · 物理学 2009-09-28 Federico Corberi , Leticia F. Cugliandolo

A thorough numerical investigation of the slow dynamics in the d=1 random field Ising model in the limit of an infinite ferromagnetic coupling is presented. Crossovers from the preasymptotic pure regime to the asymptotic Sinai regime are…

统计力学 · 物理学 2009-11-07 F. Corberi , A. de Candia , E. Lippiello , M. Zannetti

We investigate an oscillator linearly coupled with a one-dimensional Ising system. The coupling gives rise to drastic changes both in the oscillator statics and dynamics. Firstly, there appears a second order phase transition, with the…

统计力学 · 物理学 2015-05-27 A. Prados , L. L. Bonilla , A. Carpio

We investigate the dynamics of a nonequilibrium interface between coexisting phases in a system described by a Cahn-Hilliard equation with an additional driving term. By means of a matched asymptotic expansion we derive equations for the…

patt-sol · 物理学 2009-10-30 Claude A. Laberge , Sven Sandow

We consider phase separation on the strip for the two-dimensional Ising model in the near-critical region. Within the framework of field theory, we find exact analytic results for certain two- and three-point correlation functions of the…

统计力学 · 物理学 2021-09-01 Alessio Squarcini , Antonio Tinti

Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the…

统计力学 · 物理学 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

统计力学 · 物理学 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

We study the effect of a one-dimensional driving field on the interface between two coexisting phases in a two dimensional model. This is done by considering an Ising model on a cylinder with Glauber dynamics in all sites and additional…

统计力学 · 物理学 2015-11-06 Or Cohen , David Mukamel

We study the dynamics of weakly deformed interfaces separating two stable phases, starting from the fluctuating hydrodynamics of the phase-separating fields. Using a well-chosen definition for the interface and the dynamical-action…

统计力学 · 物理学 2026-05-19 Lila Sarfati , Julien Tailleur , Frédéric van Wijland

An interface description and numerical simulations of model A kinetics are used for the first time to investigate the intra-surface kinetics of phase ordering on corrugated surfaces. Geometrical dynamical equations are derived for the…

统计力学 · 物理学 2015-06-25 Oliver Schoenborn , Rashmi C. Desai

Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

统计力学 · 物理学 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi

An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method,…

统计力学 · 物理学 2010-10-20 Mohammad Khorrami , Amir Aghamohammadi

We report a study of nonequilibrium relaxation in a two-dimensional random field Ising model at a nonzero temperature. We attempt to observe the coarsening from a different perspective with a particular focus on three dynamical quantities…

统计力学 · 物理学 2014-07-08 Pradipta Kumar Mandal , Suman Sinha

We study out-of-equilibrium energy flow in a strongly coupled system by using the AdS/CFT correspondence. In particular, we describe the appearance of a steady state connecting two asymptotic equilibrium systems. We obtain results within…

高能物理 - 理论 · 物理学 2015-10-22 Eugenio Megias

In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with…

统计力学 · 物理学 2009-11-13 Freddy Bouchet , Julien Barré , Antoine Venaille

{}From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent $z$ is estimated to be $2.165 \pm 0.010$ for this model. The relaxation in the ordered phase of this model is…

凝聚态物理 · 物理学 2009-10-22 Nobuyasu Ito

The basic features of the slow relaxation phenomenology arising in phase ordering processes are obtained analytically in the large $N$ model through the exact separation of the order parameter into the sum of thermal and condensation…

统计力学 · 物理学 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti

These are lecture notes of a course given at the 9th International Summer School on Fundamental Problems in Statistical Mechanics, held in Altenberg, Germany, in August 1997. In these notes, we discuss at an elementary level three themes…

patt-sol · 物理学 2007-05-23 Wim van Saarloos
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