On the structure of relativistic hydrodynamics for hot plasmas

Abstract

Novel structure for relativistic hydrodynamics of classic plasmas is derived following the microscopic dynamics of charged particles. The derivation is started from the microscopic definition of concentration. Obviously, the concentration evolution leads to the continuity equation and gives the definition of particle current. Introducing no arbitrary functions, we consider the evolution of current (which does not coincide with the momentum density). It leads to a set of new function which, to the best of our knowledge, have not been consider in the literature earlier. One of these functions is the average reverse relativistic (gamma) factor. Its current is also considered as one of basic functions. Evolution of new functions appears via the concentration and particle current so the set of equations partially closes itself. Other functions are presented as functions of basic function as a part of truncation presiger. Two pairs of chosen functions construct two four vectors. Evolution of these four vectors leads to appearance of two four tensors which are considered instead of the energy-momentum tensor. The Langmuir waves are considered within the suggested model.

8 pages, 1 figure

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• Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: spin-electron acoustic wave appearance
• 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
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Cited by in corpus (5)

• 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
• Microscopic model for relativistic hydrodynamics of ideal plasmas
• Waves propagating parallel to the magnetic field in relativistically hot plasmas: A hydrodynamic model