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Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

Statistical Mechanics · Physics 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

Statistical Mechanics · Physics 2009-10-31 S. Dumitru , A. Boer

Diffusivity in some soft matter and biological systems changes with time, called the fluctuating diffusivity. In this work, we propose a novel origin for fluctuating diffusivity based on stochastic simulations of binary gas mixtures. In…

Statistical Mechanics · Physics 2023-02-01 Fumiaki Nakai , Yuichi Masubuchi , Yuya Doi , Takato Ishida , Takashi Uneyama

For most stochastic dynamical systems, variables which are tightly regulated tend to respond slowly to external changes. This idea is often discussed for applicable systems, within a linear response regime, through the Fluctuation…

General Physics · Physics 2017-11-15 Nash Rochman , Sean X. Sun

For many externally driven complex systems neither the noisy driving force, nor the internal dynamics are a priori known. Here we focus on systems for which the time dependent activity of a large number of components can be monitored,…

Statistical Mechanics · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz , Soon-Hyung Yook , Albert-Laszlo Barabasi

Biological membranes undergo noticeable thermal fluctuations at physiological temperatures. When two membranes approach each other, they hinder the out of plane fluctuations of the other. This hindrance leads to an entropic repulsive force…

Soft Condensed Matter · Physics 2021-04-27 Kosar Mozaffari , Fatemeh Ahmadpoor , Pradeep Sharma

Understanding the physics of nonequilibrium systems remains as one of the major challenges of theoretical physics. This problem can be cracked in part by investigating the macroscopic fluctuations of the currents characterizing…

Statistical Mechanics · Physics 2014-03-18 Pablo I. Hurtado , Carlos P. Espigares , Jesus J. del Pozo , Pedro L. Garrido

What features characterise complex system dynamics? Power laws and scale invariance of fluctuations are often taken as the hallmarks of complexity, drawing on analogies with equilibrium critical phenomena[1-3]. Here we argue that slow,…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen , L. P. Oliveira , Paolo Sibani

In complex systems, the interplay between nonlinear and stochastic dynamics, e.g., J. Monod's necessity and chance, gives rise to an evolutionary process in Darwinian sense, in terms of discrete jumps among attractors, with punctuated…

Adaptation and Self-Organizing Systems · Physics 2013-03-18 Hong Qian

Timing is essential for many cellular processes, from cellular responses to external stimuli to the cell cycle and circadian clocks. Many of these processes are based on gene expression. For example, an activated gene may be required to…

Molecular Networks · Quantitative Biology 2017-02-24 Alma Dal Co , Marco Cosentino Lagomarsino , Michele Caselle , Matteo Osella

In an experimental study of single enzyme reactions, it has been proposed that the rate constants of the enzymatic reactions fluctuate randomly, according to a given distribution. To quantify the uncertainty arising from random rate…

Quantitative Methods · Quantitative Biology 2012-02-07 Chia Ying Lee

Fluctuations in small biological systems can be crucial for their function. Large-deviation theory characterizes such rare events from the perspective of stochastic processes. In most cases it is very difficult to directly determine the…

Statistical Mechanics · Physics 2013-12-03 Artur Wachtel

Noise, through its interaction with the nonlinearity of the living systems, can give rise to counter-intuitive phenomena such as stochastic resonance, noise-delayed extinction, temporal oscillations, and spatial patterns. In this paper we…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Spagnolo , D. Valenti , A. Fiasconaro

The dynamics of cellular chemical reactions are variable due to stochastic noise from intrinsic and extrinsic sources. The intrinsic noise is the intracellular fluctuations of molecular copy numbers caused by the probabilistic encounter of…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Yuta Sakurai , Yutaka Hori

Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in…

Analysis of PDEs · Mathematics 2019-08-06 Eric Forgoston , Richard O. Moore

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with \textit{negative heat capacities} $C<0$. In this…

Statistical Mechanics · Physics 2013-07-31 L. Velazquez , S. Curilef

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

The functioning and efficiency of natural photosynthetic complexes is strongly influenced by their embedding in a noisy protein environment, which can even serve to enhance the transport efficiency. Interactions with the environment induce…

Biological Physics · Physics 2015-06-03 Sebastiaan M. Vlaming , Robert J. Silbey

The Brusselator model are used for the study of the intrinsic fluctuations of chemical reactions with different approaches. The equilibrium states of systems are assumed to be spirally stable in mean-field description, and two statistical…

Chemical Physics · Physics 2019-02-22 Hong-Yuan Xu , Yu-Pin Luo , Ming-Chang Huang

We propose a model for the dynamics of a probe embedded in a living cell, where both thermal fluctuations and nonequilibrium activity coexist. The model is based on a confining harmonic potential describing the elastic cytoskeletal matrix,…

Biological Physics · Physics 2015-06-18 É. Fodor , M. Guo , N. S. Gov , P. Visco , D. A. Weitz , F. van Wijland
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