Semi-classical expansion of distribution function using modified Hermite polynomials for quantum gas

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

“…Analytical solutions of ψ 2 (α) and ψ 3 (α) are readily calculated from Eqs. (26) and (27) such an investigation to our future work, because further increase of grid points requires the parallel computation. In particular, the boundary condition is a significant factor, which characterizes the dynamics of the granular gas [21] [22] [23].…”

“…Additionally, we remind that the transport coefficients do not depend on Q , which are calculated using the DSMC method, and those in Eqs. (26) and (27) do not contribute to any differences between transport coefficients, which are calculated using the DSMC method in Eqs. as Ω decreases from unity (IHS) to zero (IMS).…”

13-Moment System with Global Hyperbolicity for Quantum Gas

“…Therefore, any small perturbation of the equilibrium state may lead to the loss of hyperbolicity, thus the existence of the solution of Grad's 13moment system is hardly achieved. In this section, we investigate the hyperbolicity of the quantum Grad's 13-moment system with the moment closure (13), and the results can be extended to the system with the moment closure (14) with routine calculations. Let us first define the hyperbolicity as follows.…”

Fast and accurate calculation of dilute quantum gas using Uehling–Uhlenbeck model equation

“…Figure 1 investigate the viscosity coefficient of bosons, whose intermolecular potential is described by the IPL potential. We obtain the time evolution of the time-correlation function of the pressure deviator on the basis of the two-point kinetic theory by Tsuge and Sagara [20] and Grad's 13 moment equation [21] for the quantum gas, which was calculated by the author [11], such as dQ (2,2) ij,kl (τ ) dτ = − p η Q (2,2) ij,kl (τ ) .…”