Abstract
AbstractThe numerical method is presented for calculating the transport coefficients and relaxation times with the use of the microscopic representations derived from the relativistic Boltzmann equation in the previous chapters. The microscopic formulae are transformed into linear integral equations, which are discretized and then solved by making the inversion of the truncated matrices in which needed integrations are performed with the use of double exponential formulae. After confirming the accuracy and efficiency of the numerical method, we show the numerical results for three models of some physical interest: The first is the classical Boltzmann gas with the constant differential cross section, the second the fermion system with the Yukawa interaction, and the third the bosonic system given by a chiral Lagrangian. A comparison is also made with the results given by the Israel–Stewart fourteen moment method.
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