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The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

统计力学 · 物理学 2020-02-21 Matteo Polettini , Massimiliano Esposito

Open many-body quantum systems can exhibit intriguing nonequilibrium phases of matter, such as time crystals. In these phases, the state of the system spontaneously breaks the time-translation symmetry of the dynamical generator, which…

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

统计力学 · 物理学 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

It is rigorously shown that the fluctuation formula, which is used in simulations to calculate the dielectric constant of interaction site models, corresponds to the reaction field with an individual site cut-off rather than with the usual…

计算物理 · 物理学 2009-10-31 Igor P. Omelyan

Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important examples include gene expression and enzymatic processes in living cells. Such systems are typically modelled as chemical reaction networks whose…

定量方法 · 定量生物学 2017-01-13 David Schnoerr , Guido Sanguinetti , Ramon Grima

The study of chemical reactions in environments under nonequilibrium conditions has been of interest recently in a variety of contexts, including current-induced reactions in molecular junctions and scanning tunneling microscopy…

化学物理 · 物理学 2022-07-27 Yaling Ke , Christoph Kaspar , André Erpenbeck , Uri Peskin , Michael Thoss

In the context of the dynamical evolution in a non-stationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit fluctuation…

统计力学 · 物理学 2013-05-29 Raphael Chetrite

Exact theoretical results for the violation of time dependent fluctuation-dissipation relations in driven dissipative systems are presented. The ratio of correlation to delayed response in the stochastic model introduced in [Phys. Rev.…

统计力学 · 物理学 2007-05-23 Yair Shokef , Guy Bunin , Dov Levine

New advances in nano sciences open the door for scientists to study biological processes on a microscopic molecule-by-molecule basis. Recent single-molecule biophysical experiments on enzyme systems, in particular, reveal that enzyme…

应用统计 · 统计学 2012-09-28 Chao Du , S. C. Kou

Translating metabolic networks into dynamic models is difficult if kinetic constants are unknown. Structural Kinetic Modelling (SKM) replaces reaction elasticities by independent random numbers. Here I propose a variant that accounts for…

分子网络 · 定量生物学 2022-03-08 Wolfram Liebermeister

The cumulant generating function of time-averaged current is studied from an operational viewpoint. Specifically, for interacting Brownian particles under non-equilibrium conditions, we show that the first derivative of the cumulant…

统计力学 · 物理学 2015-05-30 Takahiro Nemoto , Shin-ichi Sasa

We present a novel approach to investigate the long-time stochastic dynamics of multi-dimensional classical systems, in contact with a heat-bath. When the potential energy landscape is rugged, the kinetics displays a decoupling of short and…

软凝聚态物质 · 物理学 2013-05-29 O. Corradini , P. Faccioli , H. Orland

Compartmentalised biochemical reactions are a ubiquitous building block of biological systems. The interplay between chemical and compartmental dynamics can drive rich and complex dynamical behaviors that are difficult to analyse…

分子网络 · 定量生物学 2023-06-16 Tommaso Bianucci , Christoph Zechner

We analyzed the stochastic behavior of systems controlled by autocatalytic reaction A+X -> X+X. Assuming the distribution of reacting particles in the system volume to be uniform, we introduced the notion of the point model of reaction…

统计力学 · 物理学 2007-05-23 L. Pal

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to…

统计力学 · 物理学 2022-12-07 Deepak Gupta , Carlos A. Plata

We investigate the thermodynamic implications of two control mechanisms of open chemical reaction networks. The first controls the concentrations of the species that are exchanged with the surroundings, while the other controls the exchange…

统计力学 · 物理学 2022-02-22 Francesco Avanzini , Massimiliano Esposito

As contrast to the Maxwellian distribution, equilibrium distribution of the second kind or turbulent equilibrium is shown to exist under tertiary molecular chaos hypothesis to replace the classical binary chaos by Boltzmann. It is expressed…

混沌动力学 · 物理学 2007-05-23 Shunichi Tsuge

For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of transitions between states. The concept…

统计力学 · 物理学 2012-05-21 Udo Seifert

Nonequilibrium complex systems are often effectively described by the mixture of different dynamics on different time scales. Superstatistics, which is "statistics of statistics" with two largely separated time scales, offers a consistent…

统计力学 · 物理学 2015-05-18 Sumiyoshi Abe

At finite concentrations of reacting molecules, kinetics of diffusion-controlled reactions is affected by intra-reactant interactions. As a result, multi-particle reaction statistics cannot be deduced from single-particle results. Here we…

统计力学 · 物理学 2019-08-23 Tal Agranov , Baruch Meerson
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