Microscopic model for relativistic hydrodynamics of ideal plasmas
arXiv:2109.14050 · doi:10.1140/epjd/s10053-023-00730-5
Abstract
Relativistic hydrodynamics of classic plasmas is derived from the microscopic model in the limit of ideal plasmas. The chain of equations is constructed step by step starting from the concentration evolution. It happens that the energy density and the momentum density do not appear at such approach, but new relativistic-hydrodynamic variables appear in the model. These variables has no nonrelativistic analogs, but they are reduced to the concentration, the particle current, the pressure (the flux of the particle current) if relativistic effects are dropped. These variables are reduced to functions of the concentration, the particle current, the pressure if the thermal velocities are dropped in compare with the relativistic velocity field. Final equations are presented in the monopole limit of the meanfield (the selfconsistent field) approximation. Hence, the contributions of the electric dipole moment, magnetic dipole moment, electric quadrupole moment, etc of the macroscopically infinitesimal element of volume appearing in derived equations are dropped.
arXiv comment13 pages
References in corpus (27)
- Collective flow and viscosity in relativistic heavy-ion collisions
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- New Developments in Relativistic Viscous Hydrodynamics
- Nonlinear aspects of quantum plasma physics
- Lectures on hydrodynamic fluctuations in relativistic theories
- New theories of relativistic hydrodynamics in the LHC era
- Small System Collectivity in Relativistic Hadron and Nuclear Collisions
- Weibel, Two-Stream, Filamentation, Oblique, Bell, Buneman... which one grows faster ?
- Relativistic magnetohydrodynamics
- Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: spin-electron acoustic wave appearance
- Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
- Hydrodynamic theory of an electron gas
- Nonlinear Wave Dynamics in Two Temperature Electron-Positron-Ion Plasma
- Lifshitz Hydrodynamics
- Thermal-inertial effects on magnetic reconnection in relativistic pair plasmas
- Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction
- Hydrodynamics beyond local equilibrium: application to electron gas
- Generalized Magnetofluid Connections in Relativistic Magnetohydrodynamics
- Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
- Nonlinear Coupling of Electromagnetic and Electron Acoustic Waves in Multi-Species Degenerate Astrophysical Plasma
- Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose-Einstein condensate
- Hierarchy of instabilities for two counter-streaming magnetized pair beams
- Generalized Magnetofluid Connections in Curved Spacetime
- Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas
- On the structure of relativistic hydrodynamics for hot plasmas
- Relativistic hydrodynamic model with the average reverse gamma factor evolution for the degenerate plasmas: high-density ion-acoustic solitons
- Waves propagating parallel to the magnetic field in relativistically hot plasmas: A hydrodynamic model
Cited by in corpus (3)
- Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas
- Nonlinear Coupling of Electromagnetic and Spin-Electron-Acoustic Waves in Spin-polarized Degenerate Relativistic Astrophysical Plasma
- Relativistic hydrodynamic model with the average reverse gamma factor evolution for the degenerate plasmas: high-density ion-acoustic solitons