Generalized Hydrodynamics: A Perspective
Conventional hydrodynamics describes systems with few long-lived excitations. In one dimension, however, many experimentally relevant systems feature a large number of long-lived excitations and conserved quantities even at high temperature, because they are proximate to integrable limits. Such mode...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.15.010501 |
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| _version_ | 1832582553465257984 |
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| author | Benjamin Doyon Sarang Gopalakrishnan Frederik Møller Jörg Schmiedmayer Romain Vasseur |
| author_facet | Benjamin Doyon Sarang Gopalakrishnan Frederik Møller Jörg Schmiedmayer Romain Vasseur |
| author_sort | Benjamin Doyon |
| collection | DOAJ |
| description | Conventional hydrodynamics describes systems with few long-lived excitations. In one dimension, however, many experimentally relevant systems feature a large number of long-lived excitations and conserved quantities even at high temperature, because they are proximate to integrable limits. Such models cannot be treated using conventional hydrodynamics. The framework of generalized hydrodynamics (GHD) was recently developed to treat the dynamics of one-dimensional models: It combines ideas from integrability, hydrodynamics, and kinetic theory to come up with a quantitative theory of transport. GHD has successfully settled several long-standing questions about one-dimensional transport; it has also been leveraged to study dynamical questions beyond the transport of conserved quantities and to systems that are not integrable. In this article, we introduce the main ideas and predictions of GHD, survey some of the most recent theoretical extensions and experimental tests of the GHD framework, and discuss some open questions in transport that the GHD perspective might elucidate. |
| format | Article |
| id | doaj-art-eec4cb83afc24ac986b698b14a48adeb |
| institution | Kabale University |
| issn | 2160-3308 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj-art-eec4cb83afc24ac986b698b14a48adeb2025-01-29T15:02:06ZengAmerican Physical SocietyPhysical Review X2160-33082025-01-0115101050110.1103/PhysRevX.15.010501Generalized Hydrodynamics: A PerspectiveBenjamin DoyonSarang GopalakrishnanFrederik MøllerJörg SchmiedmayerRomain VasseurConventional hydrodynamics describes systems with few long-lived excitations. In one dimension, however, many experimentally relevant systems feature a large number of long-lived excitations and conserved quantities even at high temperature, because they are proximate to integrable limits. Such models cannot be treated using conventional hydrodynamics. The framework of generalized hydrodynamics (GHD) was recently developed to treat the dynamics of one-dimensional models: It combines ideas from integrability, hydrodynamics, and kinetic theory to come up with a quantitative theory of transport. GHD has successfully settled several long-standing questions about one-dimensional transport; it has also been leveraged to study dynamical questions beyond the transport of conserved quantities and to systems that are not integrable. In this article, we introduce the main ideas and predictions of GHD, survey some of the most recent theoretical extensions and experimental tests of the GHD framework, and discuss some open questions in transport that the GHD perspective might elucidate.http://doi.org/10.1103/PhysRevX.15.010501 |
| spellingShingle | Benjamin Doyon Sarang Gopalakrishnan Frederik Møller Jörg Schmiedmayer Romain Vasseur Generalized Hydrodynamics: A Perspective Physical Review X |
| title | Generalized Hydrodynamics: A Perspective |
| title_full | Generalized Hydrodynamics: A Perspective |
| title_fullStr | Generalized Hydrodynamics: A Perspective |
| title_full_unstemmed | Generalized Hydrodynamics: A Perspective |
| title_short | Generalized Hydrodynamics: A Perspective |
| title_sort | generalized hydrodynamics a perspective |
| url | http://doi.org/10.1103/PhysRevX.15.010501 |
| work_keys_str_mv | AT benjamindoyon generalizedhydrodynamicsaperspective AT saranggopalakrishnan generalizedhydrodynamicsaperspective AT frederikmøller generalizedhydrodynamicsaperspective AT jorgschmiedmayer generalizedhydrodynamicsaperspective AT romainvasseur generalizedhydrodynamicsaperspective |