{ "id": "2103.09358", "version": "v1", "published": "2021-03-16T23:01:10.000Z", "updated": "2021-03-16T23:01:10.000Z", "title": "Heat fluctuations in a harmonic chain of active particles", "authors": [ "Deepak Gupta", "David A. Sivak" ], "comment": "28 pages, 4 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "One of the major challenges in stochastic thermodynamics is to compute the distributions of stochastic observables for small-scale systems for which fluctuations play a significant role. Hitherto much theoretical and experimental research has focused on systems composed of passive Brownian particles. In this paper, we study the heat fluctuations in a system of interacting active particles. Specifically we consider a one-dimensional harmonic chain of $N$ active Ornstein-Uhlenbeck particles, with the chain ends connected to heat baths of different temperatures. We compute the moment-generating function for the heat flow in the steady state. We employ our general framework to explicitly compute the moment-generating function for two example single-particle systems. Further, we analytically obtain the scaled cumulants for the heat flow for the chain. Numerical Langevin simulations confirm the long-time analytical expressions for first and second cumulants for the heat flow for a two-particle chain.", "revisions": [ { "version": "v1", "updated": "2021-03-16T23:01:10.000Z" } ], "analyses": { "keywords": [ "heat fluctuations", "active particles", "heat flow", "numerical langevin simulations confirm", "example single-particle systems" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }