On the structure of relativistic hydrodynamics for hot plasmas

TL;DR

This paper develops a novel theoretical framework for relativistic hydrodynamics of hot plasmas, introducing new functions and tensors derived from microscopic particle dynamics, and applies it to analyze Langmuir waves.

Contribution

The paper introduces a new set of functions and tensors in relativistic hydrodynamics derived from microscopic plasma dynamics, expanding the theoretical understanding.

Findings

New functions related to relativistic gamma factors are introduced.

The model leads to a set of self-consistent equations involving new tensors.

Application to Langmuir waves demonstrates the model's relevance.

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.