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We consider the totally asymmetric simple exclusion process on a ring with stationary initial conditions. The crossover between KPZ dynamics and equilibrium dynamics occurs when time is proportional to the $3/2$ power of the ring size. We…

概率论 · 数学 2017-03-02 Zhipeng Liu

Standard treatments of quantum work using projective energy measurements erase initial coherence and alter the dynamics, thereby failing to capture the thermodynamic effects of coherent superpositions of energy eigenstates in an ensemble of…

量子物理 · 物理学 2026-02-03 Pranay Nayak , Sreenath K. Manikandan , Tan Van Vu , Supriya Krishnamurthy

Measurements of any property of a microscopic system are bound to show significant deviations from the average, due to thermal fluctuations. For time-integrated currents such as heat, work or entropy production in a steady state, it is in…

For non-equilibrium systems of interacting particles and for interacting diffusions in d dimensions, a novel fluctuation relation is derived. The theorem establishes a quantitative relation between the probabilities of observing two current…

统计力学 · 物理学 2015-12-07 Carlos Pérez-Espigares , Frank Redig , Cristian Giardinà

We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jump rate satisfying an exclusion rule that allows up to a…

概率论 · 数学 2026-04-15 Patrícia Gonçalves , Kohei Hayashi , Makiko Sasada

The fluctuation theorem, where the central quantity is the work distribution, is an important characterization of nonequilibrium thermodynamics. In this work, based on the dissipaton-equation-of-motion theory, we develop an exact method to…

统计力学 · 物理学 2022-08-11 Hong Gong , Yao Wang , Xiao Zheng , Rui-Xue Xu , YiJing Yan

We examine the entropy of non-equilibrium stationary states of boundary driven totally asymmetric simple exclusion processes. As a consequence, we obtain that the Gibbs-Shannon entropy of the non equilibrium stationary state converges to…

概率论 · 数学 2015-06-15 Cédric Bernardin , Patrícia Gonçalves , Claudio Landim

This paper presents a new, non-Gaussian formulation of stochastic gravity by incorporating the higher moments of the fluctuations of the quantum stress energy tensor for a free quantum scalar field in a consistent way. A scheme is developed…

广义相对论与量子宇宙学 · 物理学 2013-05-17 Jason D. Bates

Our results in this paper are two-fold. First, we consider current fluctuations of the stationary asymmetric simple exclusion process (ASEP), run for some long time $T$, and show that they are of order $T^{1 / 3}$ along a characteristic…

概率论 · 数学 2018-07-05 Amol Aggarwal

We use a relationship between response and correlation function in nonequilibrium systems to establish a connection between the heat production and the deviations from the equilibrium fluctuation-dissipation theorem. This scheme extends the…

统计力学 · 物理学 2014-04-11 E. Lippiello , M. Baiesi , A. Sarracino

We study the weakly asymmetric simple exclusion process on the integer lattice. Under suitable constraints on the strength of the weak asymmetry of the dynamics, we prove moderate deviation principles for the fluctuation fields when the…

概率论 · 数学 2024-05-28 Linjie Zhao

The present study is based on a recent success of the second-order stochastic fluctuation theory in describing time autocorrelations of equilibrium and nonequilibrium physical systems. In particular, it was shown to yield values of the…

统计力学 · 物理学 2017-08-23 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

In a system made up of independent random walks, fluctuations of order $n^{1/4}$ from the hydrodynamic limit come from particle current across characteristics. We show that a two-parameter space-time particle current process converges to a…

概率论 · 数学 2008-10-29 Rohini Kumar

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

统计力学 · 物理学 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

We investigate the effect of quenched spatial disordered hopping rates on the characteristics of the asymmetric simple exclusion process (ASEP) with open boundaries both numerically and by extensive simulations. Disorder averages of the…

统计力学 · 物理学 2009-11-13 M. Ebrahim Foulaadvand , Sanaz Chaaboki , Modjtaba Saalehi

We theoretically explore the role of mesoscopic fluctuations and noise on the spectral and temporal properties of systems of $\mathcal{PT}$-symmetric coupled gain-loss resonators operating near the exceptional point, where eigenvalues and…

As recently proposed, the long-time behavior of equilibrium time-correlation functions for one-dimensional systems are expected to be captured by a nonlinear extension of fluctuating hydrodynamics. We outline the predictions from the theory…

统计力学 · 物理学 2014-08-05 Christian B. Mendl , Herbert Spohn

We study a weakly asymmetric exclusion process with long jumps and with infinitely many extended reservoirs. We prove that the stationary fluctuations of the process are governed by the generalized Ornstein-Uhlenbeck process or the…

概率论 · 数学 2024-12-11 Wenxuan Chen , Linjie Zhao

We calculate the dynamical fluctuation spectrum of electronic spins in a semiconductor under a steady-state illumination by light containing polarization squeezing correlations. Taking into account quasi-particle lifetime and spin…

其他凝聚态物理 · 物理学 2009-11-13 Eran Ginossar , Yehoshua Levinson , Shimon Levit

We derive the moderate deviation principles for the fluctuation fields of the facilitated exclusion process (FEP) in one dimension when the process starts from its stationary measure, both in the symmetric and asymmetric cases. The main…

概率论 · 数学 2025-05-05 Linjie Zhao
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