Green-Kubo formula for Boltzmann and Fermi-Dirac statistics
Shear viscosity of nuclear matter is extracted via the Green-Kubo formula and the Gaussian thermostated SLLOD algorithm (the shear rate method) in a periodic box by using an improved quantum molecular dynamic (ImQMD) model without mean field, also it is calculated by a Boltzmann-type equation. Here...
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| description | Shear viscosity of nuclear matter is extracted via the Green-Kubo formula and the Gaussian thermostated SLLOD algorithm (the shear rate method) in a periodic box by using an improved quantum molecular dynamic (ImQMD) model without mean field, also it is calculated by a Boltzmann-type equation. Here a new form of the Green-Kubo formula is put forward in the present work. For classical limit at nuclear matter densities of \(0.4\rho_{0}\) and \(1.0\rho_{0}\), shear viscosity by the traditional and new form of the Green-Kubo formula as well as the SLLOD algorithm are coincident with each other. However, for non-classical limit, shear viscosity by the traditional form of the Green-Kubo formula is higher than those obtained by the new form of the Green-Kubo formula as well as the SLLOD algorithm especially in low temperature region. In addition, shear viscosity from the Boltzmann-type equation is found to be less than that by the Green-Kubo method or the SLLOD algorithm for both classical and non-classical limits. |
| doi_str_mv | 10.48550/arxiv.2109.09631 |
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Here a new form of the Green-Kubo formula is put forward in the present work. For classical limit at nuclear matter densities of \(0.4\rho_{0}\) and \(1.0\rho_{0}\), shear viscosity by the traditional and new form of the Green-Kubo formula as well as the SLLOD algorithm are coincident with each other. However, for non-classical limit, shear viscosity by the traditional form of the Green-Kubo formula is higher than those obtained by the new form of the Green-Kubo formula as well as the SLLOD algorithm especially in low temperature region. In addition, shear viscosity from the Boltzmann-type equation is found to be less than that by the Green-Kubo method or the SLLOD algorithm for both classical and non-classical limits.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2109.09631</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algorithms ; Fermi-Dirac statistics ; Formulas (mathematics) ; Low temperature ; Molecular dynamics ; Nuclear matter ; Physics - Nuclear Experiment ; Physics - Nuclear Theory ; Shear rate ; Shear viscosity ; Viscosity</subject><ispartof>arXiv.org, 2021-09</ispartof><rights>2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). 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Here a new form of the Green-Kubo formula is put forward in the present work. For classical limit at nuclear matter densities of \(0.4\rho_{0}\) and \(1.0\rho_{0}\), shear viscosity by the traditional and new form of the Green-Kubo formula as well as the SLLOD algorithm are coincident with each other. However, for non-classical limit, shear viscosity by the traditional form of the Green-Kubo formula is higher than those obtained by the new form of the Green-Kubo formula as well as the SLLOD algorithm especially in low temperature region. 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Here a new form of the Green-Kubo formula is put forward in the present work. For classical limit at nuclear matter densities of \(0.4\rho_{0}\) and \(1.0\rho_{0}\), shear viscosity by the traditional and new form of the Green-Kubo formula as well as the SLLOD algorithm are coincident with each other. However, for non-classical limit, shear viscosity by the traditional form of the Green-Kubo formula is higher than those obtained by the new form of the Green-Kubo formula as well as the SLLOD algorithm especially in low temperature region. In addition, shear viscosity from the Boltzmann-type equation is found to be less than that by the Green-Kubo method or the SLLOD algorithm for both classical and non-classical limits.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2109.09631</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Algorithms Fermi-Dirac statistics Formulas (mathematics) Low temperature Molecular dynamics Nuclear matter Physics - Nuclear Experiment Physics - Nuclear Theory Shear rate Shear viscosity Viscosity |
| title | Green-Kubo formula for Boltzmann and Fermi-Dirac statistics |
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