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Diverse physical systems are characterized by their response to small perturbations. Near thermodynamic equilibrium, the fluctuation-dissipation theorem provides a powerful theoretical and experimental tool to determine the nature of…

统计力学 · 物理学 2020-03-25 Jeremy A. Owen , Todd R. Gingrich , Jordan M. Horowitz

Understanding how systems respond to external perturbations is a fundamental challenge in physics, particularly for non-equilibrium and non-stationary processes. The fluctuation-dissipation theorem provides a complete framework for…

统计力学 · 物理学 2026-05-06 Jiming Zheng , Zhiyue Lu

We study the response of chemical reaction networks driven far from equilibrium to logarithmic perturbations of reaction rates. The response of the mean number of a chemical species is observed to be quantitively limited by number…

统计力学 · 物理学 2023-05-09 Hyun-Myung Chun , Jordan M. Horowitz

Within a fully microscopic setting, we derive a variational principle for the non-equilibrium steady states of chemical reaction networks, valid for time-scales over which chemical potentials can be taken to be slowly varying: at…

分子网络 · 定量生物学 2015-06-05 Andrea De Martino , Daniele De Martino , Roberto Mulet , Guido Uguzzoni

Stochastic reaction networks are dynamical models of biochemical reaction systems and form a particular class of continuous-time Markov chains on $\mathbb{N}^n$. Here we provide a fundamental characterisation that connects structural…

概率论 · 数学 2018-05-22 Daniele Cappelletti , Carsten Wiuf

Reaction networks are widely used models to describe biochemical processes. Stochastic fluctuations in the counts of biological macromolecules have amplified consequences due to their small population sizes. This makes it necessary to favor…

概率论 · 数学 2022-02-28 Daniele Cappelletti , Badal Joshi

It has recently been shown that structural conditions on the reaction network, rather than a 'fine-tuning' of system parameters, often suffice to impart 'absolute concentration robustness' on a wide class of biologically relevant,…

概率论 · 数学 2014-01-20 David F. Anderson , German Enciso , Matthew Johnston

In the past the study of reaction-diffusion systems has greatly contributed to our understanding of the behavior of many-body systems far from equilibrium. In this paper we aim at characterizing the properties of diffusion limited reactions…

统计力学 · 物理学 2015-05-14 Sven Dorosz , Michel Pleimling

Under suitable assumptions, the dynamic behaviour of a chemical reaction network is governed by an autonomous set of polynomial ordinary differential equations over continuous variables representing the concentrations of the reactant…

动力系统 · 数学 2014-07-15 Matthew D. Johnston , David Siegel

For chemical reaction networks described by a master equation, we define energy and entropy on a stochastic trajectory and develop a consistent nonequilibrium thermodynamic description along a single stochastic trajectory of reaction…

统计力学 · 物理学 2009-11-11 Tim Schmiedl , Udo Seifert

Non-equilibrium driving of biochemical reactions is believed to enable their robust functioning despite the presence of thermal fluctuations and other sources of disorder. Such robust functions include sensory adaptation, enhanced enyzmatic…

统计力学 · 物理学 2017-01-17 Arvind Murugan , Suriyanarayanan Vaikuntanathan

The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is…

统计力学 · 物理学 2015-03-13 Jianhua Xing

We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each closed, irreducible subset of the state space if an analogous deterministically…

概率论 · 数学 2010-01-31 David F. Anderson , Gheorghe Craciun , Thomas G. Kurtz

The unique fluctuation-dissipation theorem for equilibrium stands in contrast with the wide variety of nonequilibrium linear response formulae. Their most traditional approach is "analytic", which, in the absence of detailed balance,…

统计力学 · 物理学 2013-01-21 Marco Baiesi , Christian Maes

All current formulations of nonequilibrium thermodynamics of open chemical reaction networks rely on the assumption of non-interacting species. We develop a general theory which accounts for interactions between chemical species within a…

A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

统计力学 · 物理学 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants

Nonreciprocity, a hallmark of nonequilibrium systems, can generate dynamics not possible near thermodynamic equilibrium, including oscillatory and rotating patterns. The onset of temporal oscillations is often evident in linearized…

统计力学 · 物理学 2026-04-21 Daniel Evans , Yizhi Shen , Ahmad K. Omar

In statistical physics any given system can be either at an equilibrium or away from it. Networks are not an exception. Most network models can be classified as either equilibrium or growing. Here we show that under certain conditions there…

统计力学 · 物理学 2013-08-13 Dmitri Krioukov , Massimo Ostilli

The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many biochemical networks work in non-equilibrium conditions and…

经典分析与常微分方程 · 数学 2025-02-10 E. Franco , J. J. L. Velázquez

Predicting how systems respond to external perturbations far from equilibrium remains a fundamental challenge across physics, chemistry, and biology. We present a unified response framework for stochastic Markov dynamics that integrates…

统计力学 · 物理学 2026-05-13 Jiming Zheng , Zhiyue Lu
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