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We investigate the dynamics of a small long-range interacting system, in contact with a large long-range thermal bath. Our analysis reveals the existence of striking anomalies in the energy flux between the bath and the system. In…

We consider a model for thermal contact through a diathermal interface between two macroscopic bodies at different temperatures: an Ising spin chain with nearest neighbor interactions is endowed with a Glauber dynamics with different…

统计力学 · 物理学 2018-05-09 M. Bauer , F. Cornu

On the basis of analytical results and molecular dynamics simulations we clarify the nonequilibrium dynamics of a long-range interacting system in contact with a heat bath. For small couplings with the bath, we show that the system can…

统计力学 · 物理学 2009-11-13 Fulvio Baldovin , Pierre-Henri Chavanis , Enzo Orlandini

Fluctuation relations for the entropy production in non equilibrium stationary states of Ising models are investigated by Monte Carlo simulations. Systems in contact with heat baths at two different temperatures or subject to external…

统计力学 · 物理学 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella , A. Pelizzola

We investigate a simplified model of two fully connected magnetic systems maintained at different temperatures by virtue of being connected to two independent thermal baths while simultaneously being inter-connected with each other. Using…

统计力学 · 物理学 2015-06-15 Roberto C. Alamino , Amit Chattopadhyay , David Saad

A diathermal wall between two heat baths at different temperatures can be mimicked by a layer of independent spin pairs with some internal energy and where each spin $\sigma_a$ is flipped by thermostat $a$ ($a=1,2$). The transition rates…

统计力学 · 物理学 2015-05-06 Françoise Cornu , Michel Bauer

Mutual equilibrium in long-range interacting systems which involve nonadditive energy, is effectively described in terms of entropy with a nonadditive composition rule. As an example, long range Ising model is considered. The generality of…

统计力学 · 物理学 2016-08-31 Ramandeep S. Johal

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

统计力学 · 物理学 2009-10-31 A. P. Vieira , L. L. Goncalves

The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sectors to two baths at different temperatures, it exhibits…

统计力学 · 物理学 2014-12-09 Nicholas Borchers , Michel Pleimling , R. K. P. Zia

Recently, it has been found that an effective long-range interaction is realized among local bistable variables (spins) in systems where the elastic interaction causes ordering of the spins. In such systems, generally we expect both…

统计力学 · 物理学 2011-08-12 Taro Nakada , Per Arne Rikvold , Takashi Mori , Masamichi Nishino , Seiji Miyashita

Introduced is a lattice-gas with long-range 2-body interactions. An effective inter-particle force is mediated by momentum exchanges. There exists the possibility of having both attractive and repulsive interactions using finite impact…

comp-gas · 物理学 2008-02-03 Jeffrey Yepez

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

统计力学 · 物理学 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

The thermodynamic and dynamical properties of an Ising model with both short range and long range, mean field like, interactions are studied within the microcanonical ensemble. It is found that the relaxation time of thermodynamically…

统计力学 · 物理学 2009-11-11 D. Mukamel , S. Ruffo , N. Schreiber

We investigate the metastable behavior of the long-range Ising model on random regular graphs under Glauber dynamics at low-temperature. We estimate the energy barrier and exit time from the metastable state using a nontrivial path-wise…

概率论 · 数学 2025-09-03 Vanessa Jacquier

New methods are presented which enables one to analyze the thermodynamics of systems with long-range interactions. Generically, such systems have entropies which are non-extensive, (do not scale with the size of the system). We show how to…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Jonathan Oppenheim

We introduce a Hamiltonian dynamics for the description of long-range interacting systems in contact with a thermal bath (i.e., in the canonical ensemble). The dynamics confirms statistical mechanics equilibrium predictions for the…

统计力学 · 物理学 2009-11-11 Fulvio Baldovin , Enzo Orlandini

In this paper we present and discuss results of Monte Carlo numerical simulations of the two-dimensional Ising ferromagnet in contact with a heat bath that intrinsically has a thermal gradient. The extremes of the magnet are at temperatures…

统计力学 · 物理学 2015-06-11 Juan Muglia , Ezequiel V. Albano

We study the dynamical behaviour of mesoscopic systems in contact with a thermal bath, described either via a non-linear Langevin equation at the trajectory level -- or the corresponding Fokker-Planck equation for the probability…

统计力学 · 物理学 2024-03-26 A. Patrón , B. Sánchez-Rey , E. Trizac , A. Prados

While the canonical ensemble has been tremendously successful in capturing thermal statistics of macroscopic systems, deviations from canonical behavior exhibited by small systems are not well understood. Here, using a small two dimensional…

统计力学 · 物理学 2021-01-07 Lukas Herron , Purushottam Dixit

Monte Carlo simulations of Ising models coupled to heat baths at two different temperatures are used to study a fluctuation relation for the heat exchanged between the two thermostats in a time $\tau$. Different kinetics (single--spin--flip…

统计力学 · 物理学 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella
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