{ "id": "2307.12816", "version": "v1", "published": "2023-07-24T14:13:04.000Z", "updated": "2023-07-24T14:13:04.000Z", "title": "Non-equilibrium memory effects: granular fluids and beyond", "authors": [ "A Patrón", "B. Sánchez-Rey", "C. A. Plata", "A. Prados" ], "comment": "Perspective paper for EPL, 7 pages, 6 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "In this perspective paper, we look into memory effects in out-of-equilibrium systems. To be concrete, we exemplify memory effects with the paradigmatic case of granular fluids, although extensions to other contexts such as molecular fluids with non-linear drag are also considered. The focus is put on two archetypal memory effects: the Kovacs and Mpemba effects. In brief, the first is related to imperfectly reaching a steady state -- either equilibrium or non-equilibrium, whereas the second is related to reaching a steady state faster despite starting further. Connections to optimal control theory thus naturally emerge and are briefly discussed.", "revisions": [ { "version": "v1", "updated": "2023-07-24T14:13:04.000Z" } ], "analyses": { "keywords": [ "non-equilibrium memory effects", "granular fluids", "steady state faster despite starting", "optimal control theory", "archetypal memory effects" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }