Kinetic theory for a simple modeling of phase transition: Dynamics out of local equilibrium

Shigeru Takata, Takuya Matsumoto, Anna Hirahara, Masanari Hattori

Published 2018-07-11Version 1

This is a continuation of the previous work (Takata & Noguchi, J. Stat. Phys., 2018) that introduces the presumably simplest model of kinetic theory for phase transition. Here, main concern is to clarify the stability of uniform equilibrium states in the kinetic regime, rather than that in the continuum limit. It is found by the linear stability analysis that the linear neutral curve is invariant with respect to the Knudsen number, though the transition process is dependent on the Knudsen number. Numerical computations of the (nonlinear) kinetic model demonstrate the transition processes in detail.