Fluctuation Dissipation Relations for Active Field Theories

Fuente: arXiv
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Auteurs principaux: Johnsrud, Martin Kjøllesdal, Golestanian, Ramin
Format: Preprint
Publié: 2024
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author Johnsrud, Martin Kjøllesdal
Golestanian, Ramin
author_facet Johnsrud, Martin Kjøllesdal
Golestanian, Ramin
contents 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 with the time-reversal transformation in non-equilibrium field theories, in the spirit of Ward-Takahashi identities. We present a generalization of the fluctuation-dissipation theorem valid for active systems as a particular realization of such an identity, and consider its implications and applications for a range of active field theories. The field theoretical toolbox developed here helps to quantify the degree of non-equilibrium activity of complex systems exhibiting collective behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2409_14977
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fluctuation Dissipation Relations for Active Field Theories
Johnsrud, Martin Kjøllesdal
Golestanian, Ramin
Statistical Mechanics
Soft Condensed Matter
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 with the time-reversal transformation in non-equilibrium field theories, in the spirit of Ward-Takahashi identities. We present a generalization of the fluctuation-dissipation theorem valid for active systems as a particular realization of such an identity, and consider its implications and applications for a range of active field theories. The field theoretical toolbox developed here helps to quantify the degree of non-equilibrium activity of complex systems exhibiting collective behavior.
title Fluctuation Dissipation Relations for Active Field Theories
topic Statistical Mechanics
Soft Condensed Matter
url https://arxiv.org/abs/2409.14977