{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T19:09:11Z","timestamp":1790881751426,"version":"4.1.0"},"reference-count":42,"publisher":"American Physical Society (APS)","issue":"3","license":[{"start":{"date-parts":[[2026,9,16]],"date-time":"2026-09-16T00:00:00Z","timestamp":1789516800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100013927","name":"Fondation Merac","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100013927","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004815","name":"Isaac Newton Trust","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004815","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,9,2]]},"abstract":"<jats:p>\n                    We construct a family of exactly solvable relativistic kinetic theories in\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mrow>\n                        <a:mn>1<\/a:mn>\n                        <a:mo>+<\/a:mo>\n                        <a:mn>1<\/a:mn>\n                      <\/a:mrow>\n                    <\/a:math>\n                    dimensions whose hydrodynamic sector continuously interpolates between Fick's and Cattaneo's laws of diffusion. The interpolation is controlled by a single parameter\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:mrow>\n                        <b:mi>a<\/b:mi>\n                        <b:mo>\u2208<\/b:mo>\n                        <b:mo>[<\/b:mo>\n                        <b:mn>0<\/b:mn>\n                        <b:mo>,<\/b:mo>\n                        <b:mn>1<\/b:mn>\n                        <b:mo>]<\/b:mo>\n                      <\/b:mrow>\n                    <\/b:math>\n                    , which tunes the microscopic scattering dynamics from infinitely soft but infinitely frequent scatterings (\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:mrow>\n                        <c:mi>a<\/c:mi>\n                        <c:mo>=<\/c:mo>\n                        <c:mn>0<\/c:mn>\n                      <\/c:mrow>\n                    <\/c:math>\n                    ), reproducing standard diffusion, to maximally hard but finite-rate scatterings (\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <d:mrow>\n                        <d:mi>a<\/d:mi>\n                        <d:mo>=<\/d:mo>\n                        <d:mn>1<\/d:mn>\n                      <\/d:mrow>\n                    <\/d:math>\n                    ), yielding hyperbolic Cattaneo-type transport. For intermediate values of\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <e:mi>a<\/e:mi>\n                    <\/e:math>\n                    , the dynamics combines frequent weak scatterings with rare strong randomizing events, providing a concrete microscopic realization of mixed diffusive-telegraphic behavior. Remarkably, the full quasinormal mode spectrum can be obtained analytically for all\n                    <f:math xmlns:f=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <f:mi>a<\/f:mi>\n                    <\/f:math>\n                    . This allows us to track explicitly how purely diffusive modes continuously deform into damped propagating modes as the collision structure is varied.\n                  <\/jats:p>","DOI":"10.1103\/6tl5-nggj","type":"journal-article","created":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T18:50:04Z","timestamp":1788375004000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Exact interpolation between Fick and Cattaneo diffusion in relativistic kinetic theory"],"prefix":"10.1103","volume":"114","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6603-9253","authenticated-orcid":true,"given":"L.","family":"Gavassino","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/013meh722","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Cambridge"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,9,16]]},"reference":[{"key":"6tl5-nggjCc1R1","doi-asserted-by":"publisher","DOI":"10.1002\/andp.18551700105","type":"journal-article"},{"key":"6tl5-nggjCc2R1","volume-title":"Sur une forme de l'\u00e9quation de la chaleur \u00e9liminant le paradoxe d'une propagation instantan\u00e9e","author":"C. Cattaneo","year":"1958","type":"book"},{"key":"6tl5-nggjCc3R1","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4916(79)90130-1","type":"journal-article"},{"key":"6tl5-nggjCc4R1","volume-title":"Methods of Theoretical Physics","author":"P.\u00a0M. Morse","year":"1953","type":"book"},{"key":"6tl5-nggjCc5R1","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/51\/8\/002","type":"journal-article"},{"key":"6tl5-nggjCc6R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-2210-1","type":"book","volume-title":"Rational Extended Thermodynamics","author":"I. Muller","year":"1998"},{"key":"6tl5-nggjCc7R1","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780198528906.001.0001","type":"book","volume-title":"Relativistic Hydrodynamics","author":"L. Rezzolla","year":"2013"},{"key":"6tl5-nggjCc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/4g4w-ypmf","type":"journal-article"},{"key":"6tl5-nggjCc9R1","volume-title":"Statistical Mechanics in a Nutshell","author":"L. 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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":"034132"}}