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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nonresistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation

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Author(s):
Denicol, Gabriel S. [1] ; Huang, Xu-Guang [2, 3, 4] ; Molnar, Etele [5, 6] ; Monteiro, Gustavo M. [7] ; Niemi, Harri [5, 8, 9] ; Noronha, Jorge [10] ; Rischke, Dirk H. [11, 5] ; Wang, Qun [11]
Total Authors: 8
Affiliation:
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[1] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ - Brazil
[2] Fudan Univ, Phys Dept, Shanghai 200433 - Peoples R China
[3] Fudan Univ, Ctr Particle Phys & Field Theory, Shanghai 200433 - Peoples R China
[4] Fudan Univ, Key Lab Nucl Phys & Ion Beam Applicat MOE, Shanghai 200433 - Peoples R China
[5] Goethe Univ Frankfurt, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt - Germany
[6] Univ Bergen, Inst Phys & Technol, Allegaten 55, N-5007 Bergen - Norway
[7] Univ Estadual Campinas, UNICAMP, Inst Fis Gleb Wataghin, BR-13083859 Campinas, SP - Brazil
[8] Univ Jyvaskyla, Dept Phys, POB 35, FI-40014 Jyvaskyla - Finland
[9] Univ Helsinki, Helsinki Inst Phys, POB 64, FI-00014 Helsinki - Finland
[10] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil
[11] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui - Peoples R China
Total Affiliations: 11
Document type: Journal article
Source: Physical Review D; v. 98, n. 7 OCT 17 2018.
Web of Science Citations: 7
Abstract

We derive the equations of motion of relativistic, nonresistive, second-order dissipative magnetohy-drodynamics from the Boltzmann equation using the method of moments. We assume the fluid to be composed of a single type of point-like particles with vanishing dipole moment or spin, so that the fluid has vanishing magnetization and polarization. In a first approximation, we assume the fluid to be nonresistive, which allows to express the electric field in terms of the magnetic field. We derive equations of motion for the irreducible moments of the deviation of the single-particle distribution function from local thermodynamical equilibrium. We analyze the Navier-Stokes limit of these equations, reproducing previous results for the structure of the first-order transport coefficients. Finally, we truncate the system of equations for the irreducible moments using the 14-moment approximation, deriving the equations of motion of relativistic, nonresistive, second-order dissipative magnetohydrodynamics. We also give expressions for the new transport coefficients appearing due to the coupling of the magnetic field to the dissipative quantities. (AU)

FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
Grantee:Jun Takahashi
Support type: Research Projects - Thematic Grants
FAPESP's process: 15/50266-2 - Relativisitic heavy-ion collision dynamics: macroscopic approaches derived from microscopic physics
Grantee:Jorge José Leite Noronha Junior
Support type: Regular Research Grants
FAPESP's process: 16/13517-0 - Topological and transport properties of chiral materials
Grantee:Gustavo Machado Monteiro
Support type: Scholarships in Brazil - Post-Doctorate