From billiards to thermodynamic laws: Stochastic energy exchange model

Yao Li, Lingchen Bu
2018 Chaos  
This paper studies a billiards-like microscopic heat conduction model, which describes the dynamics of gas molecules in a long tube with thermalized boundary. We numerically investigate the law of energy exchange between adjacent cells. A stochastic energy exchange model that preserves these properties is then derived. We further numerically justified that the stochastic energy exchange model preserves the ergodicity and the thermal conductivity of its deterministic counterpart.
doi:10.1063/1.5040296 pmid:30278614 fatcat:m6foxh2n6jabnebddwrogfxwm4