Thermal fluctuations of granular gas driven by Gaussian thermostat based on two-point kinetic theory

In this paper, we investigate thermal fluctuations of the granular gas, which is driven by Gaussian thermostat, on the basis of two-point kinetic theory. In particular, we consider thermal fluctuations of the inelastic variable sphere, which was proposed by Yano [J. Phys. A, 46 (37), 375502 (2013)]. Time correlations of thermal fluctuations of the pressure deviator and two times of the heat flux are calculated on the basis of the two-point kinetic theory and compared with their numerical results, which are calculated using the direct simulation Monte Carlo (DSMC) method. Finally, we compare transport coefficients, which are calculated on the basis of the kinetic theory, with those calculated using the DSMC method.