{ "id": "2205.06362", "version": "v1", "published": "2022-05-12T20:57:52.000Z", "updated": "2022-05-12T20:57:52.000Z", "title": "Thermal Transport and Non-Mechanical Forces in Metals", "authors": [ "J. Amarel", "D. Belitz", "T. R. Kirkpatrick" ], "comment": "6pp, no figs", "categories": [ "cond-mat.stat-mech" ], "abstract": "We discuss contributions to the thermopower in an electron fluid. A simple argument based on Newton's second law with the pressure gradient as the force suggests that the thermopower is given by a thermodynamic derivative, viz., the entropy per particle, rather than being an independent transport coefficient. The resolution is the existence of an entropic force that results from a coupling between the mass current and the heat current in the fluid. We also discuss and clarify some aspects of a recent paper (Phys. Rev. B {\\bf 102}, 214306 (2020)) that provided a method for exactly solving electronic transport equations in the low-temperature limit.", "revisions": [ { "version": "v1", "updated": "2022-05-12T20:57:52.000Z" } ], "analyses": { "keywords": [ "thermal transport", "non-mechanical forces", "exactly solving electronic transport equations", "independent transport coefficient", "newtons second law" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }