{ "id": "2308.02255", "version": "v1", "published": "2023-08-04T11:27:54.000Z", "updated": "2023-08-04T11:27:54.000Z", "title": "Thermodynamics of interacting systems: the role of the topology and collective effects", "authors": [ "Iago N. Mamede", "Karel Proesmans", "Carlos E. Fiore" ], "comment": "11 pages, 12 figures (comments are welcome)", "categories": [ "cond-mat.stat-mech", "cond-mat.mes-hall", "cond-mat.other", "cond-mat.soft" ], "abstract": "We will study a class of system composed of interacting quantum dots (QDs) placed in contact with a hot and cold thermal baths subjected to a non-conservative driving worksource. Despite their simplicity, these models showcase an intricate array of phenomena, including pump and heat engine regimes as well as a discontinuous phase transition. We will look at three distinctive topologies: a minimal and beyond minimal (homogeneous and heterogeneous interaction structures). The former case is represented by stark different networks (\"all-to-all\" interactions and only a central interacting to its neighbors) and present exact solutions, whereas homogeneous and heterogeneous structures have been analyzed by numerical simulations. We find that the topology plays a major role on the thermodynamic performance if the individual energies of the quantum dots are small, in part due to the presence of first-order phase-transitions. If the individual energies are large, the topology is not important and results are well-described by a system with all-to-all interactions.", "revisions": [ { "version": "v1", "updated": "2023-08-04T11:27:54.000Z" } ], "analyses": { "keywords": [ "collective effects", "interacting systems", "individual energies", "quantum dots", "cold thermal baths" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }