Fluctuations out of equilibrium

Author:

Belyi V. V.ORCID

Abstract

A generalized fluctuation–dissipation theorem involving slowly varying parameters is presented. Application of the Langevin method, the method of moments and of a multiscale technique reveal that not only dissipation but also dispersive contributions determine the spectral functions of fluctuations in arbitrary statistical systems. The non-Joule dispersive contribution is characterized by a novel non-local effect due to the additional phase shift between the force and the response of the system. This phase shift occurs as a result of parametric control to the system. The general formalism is illustrated by concrete examples and applications. This article is part of the theme issue ‘Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 2)’.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optimization in Engineering Processes: An Application of a Generalized Fluctuation–Dissipation Theorem;Nonequilibrium Thermodynamics and Fluctuation Kinetics;2022

2. Co-evolutionary Complex Networks;Nonequilibrium Thermodynamics and Fluctuation Kinetics;2022

3. Nonequilibrium fractional correlation functions and fluctuation–dissipation in linear viscoelasticity;Physica A: Statistical Mechanics and its Applications;2021-12

4. Thermodynamic Theory for Simple and Complex Dissipative Structures;Foundations of Physics;2021-06

5. Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology, the legacy of Ilya Prigogine (part 2);Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-11-12

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