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arXiv 2409.14977cond-mat.stat-mechcond-mat.soft
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活性场论的涨落耗散关系

Fluctuation Dissipation Relations for Active Field Theories

Martin Kjøllesdal Johnsrud, Ramin Golestanian

AI总结:

本文利用Ward-Takahashi恒等式形式,为活性系统推广了涨落耗散定理,提供量化复杂系统非平衡活性的场论工具。

摘要:

时间反演对称性的破缺是非平衡系统(如由消耗能量的单元组成的活性物质)的一个定义性属性。我们采用一种形式体系,使得能够在非平衡场论中推导出一类与时间反演变换相关的恒等式,其精神类似于Ward-Takahashi恒等式。我们将涨落耗散定理推广到适用于活性系统,作为此类恒等式的一个具体实现,并考虑其在一系列活性场论中的含义和应用。这里发展的场论工具箱有助于量化表现出集体行为的复杂系统的非平衡活性程度。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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