{ "id": "2307.15457", "version": "v1", "published": "2023-07-28T10:23:35.000Z", "updated": "2023-07-28T10:23:35.000Z", "title": "Steady state thermodynamics of ideal gas in shear flow", "authors": [ "Karol Makuch", "Konrad Giżyński", "Robert Hołyst", "Anna Maciołek", "Paweł J. Żuk" ], "categories": [ "cond-mat.stat-mech", "physics.flu-dyn" ], "abstract": "Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation between internal energy as a function of parameters of state. We analyze a non-equilibrium transition in the system and postulate the extremum principle, which determines stable stationary states in the system. The steady-state thermodynamic framework resembles equilibrium thermodynamics.", "revisions": [ { "version": "v1", "updated": "2023-07-28T10:23:35.000Z" } ], "analyses": { "keywords": [ "steady state thermodynamics", "ideal gas", "shear flow", "thermodynamic framework resembles equilibrium thermodynamics", "steady-state thermodynamic framework resembles equilibrium" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }