Identities for nonlinear memory kernels Article Swipe

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YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.1103/pzs6-l3ws

Perturbing a system far away from equilibrium via a time-dependent protocol can formally be described by a nonlinear Volterra series expansion. Here we derive identities for the nonlinear memory kernels arising in such nonlinear expansion, including the possibility of a nonlinear coupling between perturbation and system. These identities rely on local detailed balance, and they include the fluctuation dissipation theorem as the lowest-order identity. We test them in simulations for driven over- and underdamped Brownian particles. These identities for memory kernels can be recast in a series relation for the nonequilibrium cumulants of the observable conjugate to the driving and the observable described by the Volterra series. We discuss the relation to previously found identities.

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Nonlinear system Computer science Mathematics Physics Quantum mechanics

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Type: article
Language: en
Landing Page: https://doi.org/10.1103/pzs6-l3ws
PDF: http://link.aps.org/pdf/10.1103/pzs6-l3ws
OA Status: hybrid
Cited By: 1
References: 77
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DOI: https://doi.org/10.1103/pzs6-l3ws

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Title: Identities for nonlinear memory kernels

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Language: en

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Publication year: 2025

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Publication date: 2025-07-28

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Authors: Juliana Caspers, Matthias Krüger

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Landing page: https://doi.org/10.1103/pzs6-l3ws

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Concepts: Nonlinear system, Computer science, Mathematics, Physics, Quantum mechanics

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