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A new expression for the production term in the relativistic model of polyatomic gases

M. C. Carrisi, S. Pennisi, T. Ruggeri, T. Arima

Abstract

A new expression is here proposed for the production term Q in the Boltzmann Equation. This new expression satisfies the H-Theorem (non approximated) and, in the transition to Ordinary Thermodynamics gives a result which is independent on the number N of the moments which are used both if the Maxwellian Iteration or the Eckart method are used.

A new expression for the production term in the relativistic model of polyatomic gases

Abstract

A new expression is here proposed for the production term Q in the Boltzmann Equation. This new expression satisfies the H-Theorem (non approximated) and, in the transition to Ordinary Thermodynamics gives a result which is independent on the number N of the moments which are used both if the Maxwellian Iteration or the Eckart method are used.

Paper Structure

This paper contains 16 sections, 127 equations.

Table of Contents

  1. Introduction
  2. Existence and unicity of the solution of \ref{['2']}
  3. The H-Theorem
  4. The gradient form for the production terms
  5. Ordinary Relativistic Themodynamics recovered through the Maxwellian Iteration
  6. Ordinary Relativistic Themodynamics recovered through the Eckart Method
  7. The Maxwellian Iteration for the particular case $N=2$
  8. The subsystem with 14 moments
  9. The subsystem with 6 moments
  10. The non relativistic limit
  11. The non relativistic limit of $\tilde{\lambda}$ and $\tilde{\lambda}_\mu$
  12. The politropic case
  13. The monoatomic case
  14. The Landau-Lifshiz description
  15. The passage from $J_{m,n}$ to the modified Bessel Functions
  16. ...and 1 more sections