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When analyzing experimental or simulation time-series data, the question arises whether it is possible to tell from a one-dimensional time-dependent trajectory whether the system is in equilibrium or not. We here consider the…

统计力学 · 物理学 2023-10-16 Roland R Netz

In a recently proposed computational model of open molecular systems out of equilibrium [Ebrahimi Viand et al. J.Chem.Phys. 153, 101102 (2020)], the action of different reservoirs enters as a linear sum into the Liouville-type evolution…

统计力学 · 物理学 2021-08-05 Rupert Klein , Roya Ebrahimi Viand , Felix Höfling , Luigi Delle Site

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

We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and…

高能物理 - 理论 · 物理学 2017-09-13 Stefan Hollands , Roberto Longo

In this work, we provide a method which allows to compute exactly the multipoint and multi-time correlation functions of a one-dimensional stochastic model of dimer adsorption-evaporation with random (uncorrelated) initial states. In…

统计力学 · 物理学 2016-08-31 Mauro Mobilia

We show existence of a non-equilibrium steady state for the one-dimensional, non-linear BGK model on an interval with diffusive boundary conditions. These boundary conditions represent the coupling of the system with two heat reservoirs at…

偏微分方程分析 · 数学 2021-06-02 Josephine Evans , Angeliki Menegaki

Non-equilibrium steady states are subject to intense investigations but still poorly understood. For instance, the derivation of Fourier law in Hamiltonian systems is a problem that still poses several obstacles. In order to investigate…

概率论 · 数学 2014-10-15 Chiara Franceschini , Cristian Giardina

We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles.In both cases, the two-point correlation functions allow to detect the…

统计力学 · 物理学 2011-11-29 T. Bodineau , B. Derrida , V. Lecomte , F. van Wijland

Experiments show that macroscopic systems in a stationary nonequilibrium state exhibit long range correlations of the local thermodynamic variables. In previous papers we proposed a Hamilton-Jacobi equation for the nonequilibrium free…

统计力学 · 物理学 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

The Brownian motion of a single particle is a paradigmatic model of the nonequilibrium dynamics of dissipative systems. In the system-plus-reservoir approach, one can derive the particle's equations of motion from the reversible dynamics of…

统计力学 · 物理学 2023-01-18 Elisa I. Goettems , Ricardo J. S. Afonso , Diogo O. Soares-Pinto , Daniel Valente

We analyze a class of energy and wealth redistribution models. We characterize their stationary measures and show that they have a discrete dual process. In particular we show that the wealth distribution model with non-zero propensity can…

概率论 · 数学 2014-03-05 Pasquale Cirillo , Frank Redig , Wioletta Ruszel

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our…

介观与纳米尺度物理 · 物理学 2015-05-28 Valeriu Moldoveanu , Horia D. Cornean , Claude-Alain Pillet

Systems out of equilibrium, in stationary as well as in nonstationary regimes, display a linear response to energy impulses simply expressed as the sum of two specific temporal correlation functions. There is a natural interpretation of…

统计力学 · 物理学 2010-06-16 Marco Baiesi , Christian Maes , Bram Wynants

I revisit the exactly solvable Kipnis--Marchioro--Presutti model of heat conduction [J. Stat. Phys. 27 65 (1982)] and describe, for one-dimensional systems of arbitrary sizes whose ends are in contact with thermal baths at different…

统计力学 · 物理学 2017-08-24 Thomas Gilbert

A Hamiltonian-based model of many harmonically interacting massive particles that are subject to linear friction and coupled to heat baths at different temperatures is used to study the dynamic approach to equilibrium and non-equilibrium…

统计力学 · 物理学 2020-09-17 Roland R. Netz

Recently a novel concise representation of the probability distribution of heat conducting nonequilibrium steady states was derived. The representation is valid to the second order in the ``degree of nonequilibrium'', and has a very…

统计力学 · 物理学 2009-11-13 Teruhisa S. Komatsu , Naoko Nakagawa , Shin-ichi Sasa , Hal Tasaki

The existence of stationary distributions in a multicomponent Boltzmann equation using a non-additive kinetic energy composition rule for binary collisions is discussed. It is found that detailed balance is not achieved when -- in contrast…

统计力学 · 物理学 2014-08-19 M. Horváth , T. S. Biró

We study quantum heat exchange in a multi-state impurity coupled to two thermal reservoirs. Allowing for strong system-bath interactions, we show that a steady-state heat exchange fluctuation theorem holds, though the dynamical processes…

统计力学 · 物理学 2015-05-28 L. Nicolin , D. Segal

Usually, in a non-equilibrium setting, a current brings mass from the highest density regions to the lowest density ones. Although rare, the opposite phenomenon (known as "uphill diffusion") has also been observed in multicomponent systems,…

统计力学 · 物理学 2018-03-28 Matteo Colangeli , Cristian Giardinà , Claudio Giberti , Cecilia Vernia

We study steady-state properties of inelastic gases in two-dimensions in the presence of an energy source. We generalize previous hydrodynamic treatments to situations where high and low density regions coexist. The theoretical predictions…

凝聚态物理 · 物理学 2009-10-28 E. L. Grossman , T. Zhou , E. Ben-Naim
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