Fluctuation Dissipation Relations for the Non-Reciprocal Cahn-Hilliard Model

Abstract

Recent results demonstrate how deviations from equilibrium fluctuation--dissipation theorem can be quantified for active field theories by deriving exact fluctuations dissipation relations that involve the entropy production [M. K. Johnsrud and R. Golestanian, Phys. Rev. Res. 7, L032053 (2025)].Here we develop and employ diagrammatic tools to perform perturbative calculations for a paradigmatic active field theory, the Non-Reciprocal Cahn-Hilliard (NRCH) model. We obtain analytical results, which serve as an illustration of how to implement the recently developed framework to active field theories, and help to illuminate the specific non-equilibrium characteristics of the NRCH field theory.

arXiv admin note: substantial text overlap with the v1 version of arXiv:2409.14977. authors' note: this paper is completely independent of the revised v2 version of arXiv:2409.14977. The authors decided to split the v1 version of arXiv:2409.14977 into two separate papers

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Cited by in corpus (2)

• Fluctuation Dissipation Relations for Active Field Theories
• State Diagram of the Non-Reciprocal Cahn-Hilliard Model and the Effects of Symmetry