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We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation…

Statistical Mechanics · Physics 2024-07-09 T. R. Kirkpatrick , D. Belitz

Active contributions to fluctuations are a direct consequence of metabolic energy consumption in living cells. Such metabolic processes continuously create active forces, which deform the membrane to control motility, proliferation as well…

Biological Physics · Physics 2018-10-02 Hervé Turlier , Timo Betz

The fluctuation-dissipation relation, a central result in non-equilibrium statistical physics, relates equilibrium fluctuations in a system to its linear response to external forces. Here we provide a direct experimental verification of…

Soft Condensed Matter · Physics 2017-11-15 Shuvojit Paul , Abhrajit Laskar , Rajesh Singh , Basudev Roy , R. Adhikari , Ayan Banerjee

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

In this work, we study in detail the distribution of stochastic forces generated by the molecular motors activity, in the actin cortex of pre-muscular cells. By combining active and passive rheology experiments, performed on the same…

Biological Physics · Physics 2019-12-10 P. Bohec , J. Tailleur , F. van Wijland , A. Richert , F. Gallet

The nonequilibrium activity taking place in a living cell can be monitored with a tracer embedded in the medium. While microrheology experiments based on optical manipulation of such probes have become increasingly standard, we put forward…

Soft Condensed Matter · Physics 2014-10-31 Étienne Fodor , Kiyoshi Kanazawa , Hisao Hayakawa , Paolo Visco , Frédéric van Wijland

An equilibrium system which is perturbed by an external potential relaxes to a new equilibrium state, a process obeying the fluctuation-dissipation theorem. In contrast, perturbing by nonconservative forces yields a nonequilibrium steady…

Statistical Mechanics · Physics 2019-12-17 Kiryl Asheichyk , Matthias Krüger

Living cells exhibit an important out-of-equilibrium mechanical activity, mainly due to the forces generated by molecular motors. These motor proteins, acting individually or collectively on the cytoskeleton, contribute to the violation of…

Biological Physics · Physics 2009-01-21 Francois Gallet , Delphine Arcizet , Pierre Bohec , Alain Richert

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…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

Breakdown of time-reversal symmetry is a defining property of non-equilibrium systems, such as active matter, which is composed of units that consume energy. We employ a formalism that allows us to derive a class of identities associated…

Statistical Mechanics · Physics 2025-09-26 Martin Kjøllesdal Johnsrud , Ramin Golestanian

We derive the fluctuation dynamics of a probe in weak coupling with a "living" medium, modeled as particles undergoing an active Ornstein-Uhlenbeck dynamics. Nondissipative corrections to the fluctuation-dissipation relation are written out…

Soft Condensed Matter · Physics 2020-11-18 Christian Maes

We analyze the non-equilibrium shape fluctuations of giant unilamellar vesicles encapsulating motile bacteria. Owing to bacteria--membrane collisions, we experimentally observe a significant increase in the magnitude of membrane…

Soft Condensed Matter · Physics 2020-04-22 Sho C. Takatori , Amaresh Sahu

Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

Statistical Mechanics · Physics 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

A living cell actively generates traction forces on its environment with its actin cytoskeleton. These forces deform the cell elastic substrate which, in turn, affects the traction forces exerted by the cell and can consequently modify the…

Biological Physics · Physics 2022-02-03 H. Chelly , A. Jahangiri , M. Mireux , J. Étienne , D. K. Dysthe , C. Verdier , P. Recho

We discuss research done in two important areas of nonequilibrium statistical mechanics: fluctuation dissipation relations and dynamical fluctuations. In equilibrium systems the fluctuation-dissipation theorem gives a simple relation…

Statistical Mechanics · Physics 2010-11-19 Bram Wynants

Active fluctuations are detected in a growing number of systems due to self-propulsion mechanisms or collisions with active environment. They drive the system far from equilibrium and can induce phenomena which at equilibrium states are…

Statistical Mechanics · Physics 2024-09-12 K. Białas , J. Łuczka , J. Spiechowicz

The fluctuation-dissipation-theorem connects equilibrium to mildly (linearly) perturbed situations in a thermodynamic manner: It involves the observable of interest and the entropy production caused by the perturbation. We derive a relation…

Statistical Mechanics · Physics 2021-03-24 Tristan Holsten , Matthias Krüger

Active tissues exhibit tension fluctuations that are correlated in space and time. We study a minimal overdamped surface model in which such fluctuations enter as a zero-mean, multiplicative modulation of the local surface tension. Although…

Soft Condensed Matter · Physics 2026-03-02 Matteo Ciarchi , Andriy Goychuk , Erwin Frey

Tissues of living cells are a prime example of active fluids. There is experimental evidence that tissues generate extensile active stress even though their constituting cells are contractile. Fluctuating forces that could result from…

Soft Condensed Matter · Physics 2025-07-01 Mathieu Dedenon , Karsten Kruse

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

Soft Condensed Matter · Physics 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle
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