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A large family of diffusive models of transport that has been considered in the past years admits a transformation into the same model in contact with an equilibrium bath. This mapping holds at the full dynamical level, and is independent…

统计力学 · 物理学 2020-10-22 Rouven Frassek , Cristian Giardina , Jorge Kurchan

We describe a strategy to improve the efficiency of free energy estimates by reducing dissipation in nonequilibrium Monte Carlo simulations. This strategy generalizes the targeted free energy perturbation approach [Phys. Rev. E. 65, 046122,…

统计力学 · 物理学 2015-05-27 Suriyanarayanan Vaikuntanathan , Christopher Jarzynski

Application of Jarzynski nonequilibrium work relation to free energy calculation is limited by the very slow convergence of the estimate when dissipation is high. We present a novel perturbation protocol able to improve the convergence of…

统计力学 · 物理学 2008-01-03 Ognjen Perisic , Hui Lu

The theory of dynamical quantum phase transitions represents an attempt to extend the concept of phase transitions to the far from equilibrium regime. While there are many formal analogies to conventional transitions, it is a major question…

统计力学 · 物理学 2018-06-15 Daniele Trapin , Markus Heyl

The behavior of a spin undergoing Larmor precession in the presence of fluctuating fields is of interest to workers in many fields. The fluctuating fields cause frequency shifts and relaxation which are related to their power spectrum,…

统计力学 · 物理学 2016-06-15 Christopher M. Swank , Alexander K. Petukhov , Robert Golub

We address the problem of constructing accurate mathematical models of the dynamics of complex systems projected on a collective variable. To this aim we introduce a conceptually simple yet effective algorithm for estimating the parameters…

统计力学 · 物理学 2022-09-28 Karen Palacio-Rodriguez , Fabio Pietrucci

We consider two models for directed polymers in space-time independent random media (the O'Connell-Yor semi-discrete directed polymer and the continuum directed random polymer) at positive temperature and prove their KPZ universality via…

概率论 · 数学 2013-03-06 Alexei Borodin , Ivan Corwin , Patrik Ferrari

In this paper, we address an important question of the relationship between fluctuation theorems for the dissipated work $W_{d} = W-\Delta F$ with general finite-time (like Jarzynski equality and Crooks relation) and infinite-time (like…

统计力学 · 物理学 2019-05-31 A. Mandaiya , I. M. Khaymovich

We study equilibrium states for an open class of non-uniformly expanding local homeomorphisms defined by a mild condition such that for some iterate each point admits at least one contracting inverse branch. We prove the existence and…

动力系统 · 数学 2024-10-17 Carlos Bocker , Ricardo Bortolotti , Armando Castro , Sávio Santana

Relationships are obtained expressing the breaking of spin-reversal symmetry by an external magnetic field in Gibbsian canonical equilibrium states of spin systems under specific assumptions. These relationships include an exact fluctuation…

统计力学 · 物理学 2015-06-05 Pierre Gaspard

We propose an alternative theory for the relaxation of density fluctuations in glass-forming fluids. We derive an equation of motion for the density correlation function which is local in time and is similar in spirit to the equation of…

软凝聚态物质 · 物理学 2022-06-01 Grzegorz Szamel

This article traces the development of fluctuation theory and its deep connection to irreversibility, from equilibrium to near-equilibrium, and finally to far-from-equilibrium systems. Classical fluctuation theorems, which capture the…

量子物理 · 物理学 2025-12-30 Sounak Bandyopadhyay , Arnab Ghosh

Neural dynamics of energy-based models are governed by energy minimization and the patterns stored in the network are retrieved when the system reaches equilibrium. However, when the system is driven by time-varying external input, the…

神经元与认知 · 定量生物学 2020-12-25 Kevin S. Chen

We examine the question of whether the formal expressions of equilibrium statistical mechanics can be applied to time independent non-dissipative systems that are not in true thermodynamic equilibrium and are nonergodic. By assuming the…

统计力学 · 物理学 2007-11-09 Stephen R. Williams , Denis J. Evans

We study diffusion-controlled processes in nonequilibrium steady states, where standard rate theory assumptions break down. Using transition path theory, we generalize the relations between reactive probability fluxes and measures of the…

化学物理 · 物理学 2025-06-02 Seokjin Moon , David T. Limmer

The uniform electron gas is a key model system in the description of matter, including dense plasmas and solid state systems. However, the simultaneous occurence of quantum, correlation, and thermal effects makes the theoretical description…

等离子体物理 · 物理学 2017-05-24 Simon Groth , Tobias Dornheim , Michael Bonitz

We numerically simulate a thermalization process in an energy landscape with hierarchically organized metastable states. The initial configuration is chosen to have a large energy excess, relative to the thermal equilibrium value at the…

统计力学 · 物理学 2009-11-13 Andreas Fischer , Paolo Sibani , Karl Heinz Hoffmann

The Fluctuation Relation for a stationary state, kept at constant energy by a deterministic thermostat - the Gallavotti-Cohen Theorem -- relies on the ergodic properties of the system considered. We show that when perturbed by an…

统计力学 · 物理学 2009-11-11 Jorge Kurchan

Statistical properties of Brownian motion that arise by analyzing, separately, trajectories over which the system energy increases (upside) or decreases (downside) with respect to a threshold energy level, are derived. This selective…

统计力学 · 物理学 2019-08-02 Galen T. Craven , Abraham Nitzan

We give a quantum version of the Jarzynski relation between the distribution of work done over a certain time-interval on a system and the difference of equilibrium free energies. The main new ingredient is the identification of work…

凝聚态物理 · 物理学 2015-05-26 Wojciech De Roeck , Christian Maes