{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T18:03:32Z","timestamp":1790877812567,"version":"4.1.0"},"reference-count":48,"publisher":"American Physical Society (APS)","issue":"4","license":[{"start":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T00:00:00Z","timestamp":1776816000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,3,23]]},"abstract":"<jats:p>\n                    Temperature-Induced Quantum Migration (TIQM) is a macroscopic quantum phenomenon that fundamentally reshapes the local thermodynamics of confined systems. While previously explored in Maxwell-Boltzmann and Bose gases, we here extend the TIQM framework to noninteracting Fermi gases confined in anisometric rectangular domains. These domains are characterized by\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:msub>\n                        <a:mi>D<\/a:mi>\n                        <a:mi>I<\/a:mi>\n                      <\/a:msub>\n                    <\/a:math>\n                    , representing the number of dimensions that remain unconfined. We derive the local heat capacity and demonstrate that the standard temperature derivative of local energy yields unphysical negative regions, a discrepancy resolved by the TIQM correction. We show that quantum degeneracy in Fermi gases generally suppresses the TIQM contribution to global heat capacity compared to other statistics, yet it drives a distinct redistribution of local heat capacity. Notably, for the most constrained case (\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:mrow>\n                        <b:msub>\n                          <b:mi>D<\/b:mi>\n                          <b:mi>I<\/b:mi>\n                        <\/b:msub>\n                        <b:mo>=<\/b:mo>\n                        <b:mn>0<\/b:mn>\n                      <\/b:mrow>\n                    <\/b:math>\n                    ), a Schottky-type anomaly emerges at low densities, which is progressively \u201cwashed out\u201d by increasing dimensionality (\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:mrow>\n                        <c:msub>\n                          <c:mi>D<\/c:mi>\n                          <c:mi>I<\/c:mi>\n                        <\/c:msub>\n                        <c:mo>=<\/c:mo>\n                        <c:mn>1<\/c:mn>\n                        <c:mo>,<\/c:mo>\n                        <c:mn>2<\/c:mn>\n                      <\/c:mrow>\n                    <\/c:math>\n                    ). Based on an idealized noninteracting model, our calculations suggest that a measurable (22%) enhancement in the local-to-global electronic heat capacity ratio could emerge at approximately 84\u00a0nm from the longitudinal boundaries of a\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <d:mrow>\n                        <d:mn>12<\/d:mn>\n                        <d:mo>\u00d7<\/d:mo>\n                        <d:mn>12<\/d:mn>\n                        <d:mo>\u00d7<\/d:mo>\n                        <d:mn>5600<\/d:mn>\n                      <\/d:mrow>\n                    <\/d:math>\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <e:msup>\n                        <e:mrow>\n                          <e:mi>nm<\/e:mi>\n                        <\/e:mrow>\n                        <e:mn>3<\/e:mn>\n                      <\/e:msup>\n                    <\/e:math>\n                    bismuth nanowire at 30\u00a0K, offering a potential experimental signature for TIQM. These results complete a systematic trilogy of studies across all fundamental quantum statistics, establishing TIQM as a necessary correction for the local thermodynamics of nanoscale devices.\n                  <\/jats:p>","DOI":"10.1103\/3ct1-tbh8","type":"journal-article","created":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T15:37:57Z","timestamp":1774280277000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Temperature-Induced Quantum Migration and local heat capacity in confined Fermi gases"],"prefix":"10.1103","volume":"113","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7431-5115","authenticated-orcid":true,"given":"Altug","family":"Sisman","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/048a87296","id-type":"ROR","asserted-by":"publisher"}],"name":"Uppsala University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9217-2218","authenticated-orcid":true,"given":"Jonas","family":"Fransson","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/048a87296","id-type":"ROR","asserted-by":"publisher"}],"name":"Uppsala University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,4,22]]},"reference":[{"key":"3ct1-tbh8Cc1R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.110.034112","type":"journal-article"},{"key":"3ct1-tbh8Cc2R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-99046-0","type":"book","volume-title":"Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions, Fundamental Theories of Physics","author":"F. 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"044129"}}