{ "id": "2003.02148", "version": "v1", "published": "2020-03-04T15:55:32.000Z", "updated": "2020-03-04T15:55:32.000Z", "title": "Stochastic thermodynamics of chemical reactions coupled to finite reservoirs", "authors": [ "Jonas H. Fritz", "Basile Nguyen", "Udo Seifert" ], "comment": "7 pages, 5 figures", "categories": [ "cond-mat.stat-mech", "physics.bio-ph", "physics.chem-ph" ], "abstract": "Biomolecular processes are typically modeled using chemical reaction networks coupled to infinitely large chemical reservoirs. A difference in chemical potential between these reservoirs can drive the system into a non-equilibrium steady state (NESS). In reality, cells are finite systems containing a finite number of molecules. In such systems, a NESS can be reached with the help of an externally driven pump for which we introduce a simple model. Crucial parameters are the pumping rate and the finite size of the chemical reservoir. We apply this model to a simple biochemical oscillator, the Brusselator, and quantify the performance using the number of coherent oscillations. As a surprising result, we find that higher precision can be achieved with finite-size reservoirs even though the corresponding current fluctuations are larger than in the ideal infinite case.", "revisions": [ { "version": "v1", "updated": "2020-03-04T15:55:32.000Z" } ], "analyses": { "keywords": [ "finite reservoirs", "stochastic thermodynamics", "non-equilibrium steady state", "chemical reservoir", "ideal infinite case" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }