{"id":713,"date":"2025-11-14T18:18:53","date_gmt":"2025-11-14T18:18:53","guid":{"rendered":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/?p=713"},"modified":"2025-11-14T18:18:53","modified_gmt":"2025-11-14T18:18:53","slug":"generalized-relativistic-second-order-dissipative-hydrodynamics-coupling-different-rank-tensors","status":"publish","type":"post","link":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/2025\/11\/14\/generalized-relativistic-second-order-dissipative-hydrodynamics-coupling-different-rank-tensors\/","title":{"rendered":"Generalized relativistic second-order dissipative hydrodynamics: coupling different rank tensors"},"content":{"rendered":"\n<p>In this work, we extend the formalism of second-order relativistic dissipative hydrodynamics, developed previously using Zubarev&#8217;s non-equilibrium statistical operator formalism. By employing a second-order expansion of the statistical operator in terms of hydrodynamic gradients, we demonstrate that new second-order terms emerge due to the coupling of two-point quantum correlators between tensors of differing ranks, evaluated at distinct space-time points. Such terms arise because the presence of the acceleration vector in the system allows Curie&#8217;s theorem, which governs symmetry constraints, to be extended for constructing invariants from tensors of different ranks evaluated at distinct space-time points. The new terms are identified in the context of a complete set of second-order equations governing the shear-stress tensor, bulk-viscous pressure, and charge-diffusion currents for a generic quantum system characterized by the energy-momentum tensor and multiple conserved charges. Additionally, we identify the transport coefficients associated with these new terms and derive the Kubo formulas expressing the second-order transport coefficients through two- and three-point correlation functions. For further details, see <a href=\"https:\/\/arxiv.org\/abs\/2503.18839\">https:\/\/arxiv.org\/abs\/2503.18839<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this work, we extend the formalism of second-order relativistic dissipative hydrodynamics, developed previously using Zubarev&#8217;s non-equilibrium statistical operator formalism. By employing a second-order expansion of the statistical operator in terms of hydrodynamic gradients, we demonstrate that new second-order terms emerge due to the coupling of two-point quantum correlators between tensors of differing ranks, evaluated <a class=\"read-more\" href=\"https:\/\/astro.uni-frankfurt.de\/sedrakian\/2025\/11\/14\/generalized-relativistic-second-order-dissipative-hydrodynamics-coupling-different-rank-tensors\/\">READ MORE<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-713","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p82uKz-bv","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/posts\/713","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/comments?post=713"}],"version-history":[{"count":1,"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/posts\/713\/revisions"}],"predecessor-version":[{"id":714,"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/posts\/713\/revisions\/714"}],"wp:attachment":[{"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/media?parent=713"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/categories?post=713"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/astro.uni-frankfurt.de\/sedrakian\/wp-json\/wp\/v2\/tags?post=713"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}