{"title":"来自量子动力学理论的简述自旋流体力学","authors":"David Wagner","doi":"arxiv-2409.07143","DOIUrl":null,"url":null,"abstract":"In this work, the equations of dissipative relativistic spin hydrodynamics\nbased on quantum kinetic theory are derived. Employing the inverse-Reynolds\ndominance (IReD) approach, a resummation scheme based on a power counting in\nKnudsen and inverse Reynolds numbers is constructed, leading to hydrodynamic\nequations that are accurate to second order. It is found that the spin dynamics\ncan be characterized by eleven equations: six of them describe the evolution of\nthe components of the spin potential, while the remaining five provide the\nequation of motion of a dissipative irreducible rank-two tensor. For a simple\ntruncation, the first- and second-order transport coefficients are computed\nexplicitly.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Resummed spin hydrodynamics from quantum kinetic theory\",\"authors\":\"David Wagner\",\"doi\":\"arxiv-2409.07143\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, the equations of dissipative relativistic spin hydrodynamics\\nbased on quantum kinetic theory are derived. Employing the inverse-Reynolds\\ndominance (IReD) approach, a resummation scheme based on a power counting in\\nKnudsen and inverse Reynolds numbers is constructed, leading to hydrodynamic\\nequations that are accurate to second order. It is found that the spin dynamics\\ncan be characterized by eleven equations: six of them describe the evolution of\\nthe components of the spin potential, while the remaining five provide the\\nequation of motion of a dissipative irreducible rank-two tensor. For a simple\\ntruncation, the first- and second-order transport coefficients are computed\\nexplicitly.\",\"PeriodicalId\":501573,\"journal\":{\"name\":\"arXiv - PHYS - Nuclear Theory\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Nuclear Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07143\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Nuclear Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07143","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Resummed spin hydrodynamics from quantum kinetic theory
In this work, the equations of dissipative relativistic spin hydrodynamics
based on quantum kinetic theory are derived. Employing the inverse-Reynolds
dominance (IReD) approach, a resummation scheme based on a power counting in
Knudsen and inverse Reynolds numbers is constructed, leading to hydrodynamic
equations that are accurate to second order. It is found that the spin dynamics
can be characterized by eleven equations: six of them describe the evolution of
the components of the spin potential, while the remaining five provide the
equation of motion of a dissipative irreducible rank-two tensor. For a simple
truncation, the first- and second-order transport coefficients are computed
explicitly.