Kinetic approach to relativistic dissipation.
- Gabbana A INFN-Ferrara, Università di Ferrara, Via Saragat 1, I-44122 Ferrara, Italy.
- Mendoza M ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Schafmattstraße 6, HIF, CH-8093 Zürich, Switzerland.
- Succi S Istituto per le Applicazioni del Calcolo C.N.R., Via dei Taurini, 19, 00185 Rome, Italy and Institute for Applied Computational Science, John Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
- Tripiccione R INFN-Ferrara, Università di Ferrara, Via Saragat 1, I-44122 Ferrara, Italy.
- 2017-09-28
Published in:
- Physical review. E. - 2017
English
Despite a long record of intense effort, the basic mechanisms by which dissipation emerges from the microscopic dynamics of a relativistic fluid still elude complete understanding. In particular, several details must still be finalized in the pathway from kinetic theory to hydrodynamics mainly in the derivation of the values of the transport coefficients. In this paper, we approach the problem by matching data from lattice-kinetic simulations with analytical predictions. Our numerical results provide neat evidence in favor of the Chapman-Enskog [The Mathematical Theory of Non-Uniform Gases, 3rd ed. (Cambridge University Press, Cambridge, U.K., 1970)] procedure as suggested by recent theoretical analyses along with qualitative hints at the basic reasons why the Chapman-Enskog expansion might be better suited than Grad's method [Commun. Pure Appl. Math. 2, 331 (1949)0010-364010.1002/cpa.3160020403] to capture the emergence of dissipative effects in relativistic fluids.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1103/PhysRevE.96.023305
- PMID 28950626
- Persistent URL
- https://sonar.ch/global/documents/253797
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