聖塔非研究所

盒子中非彈性氣體的能量分佈受冪律支配 - 樣本空間縮減過程框架中的推導

2022-12-29 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We use the framework of sample space reducing (SSR) processes as an alternative to Boltzmann equation based approaches to derive the energy and velocity distribution functions of an inela…

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  • 類型:已發表論文
  • 日期:2022-12-29

摘要

We use the framework of sample space reducing (SSR) processes as an alternative to Boltzmann equation based approaches to derive the energy and velocity distribution functions of an inelastic gas in a box as an example of a dissipative, driven system. SSR processes do not assume molecular 混沌 and are characterized by a specific type of eigenvalue equation whose solutions represent stationary distribution functions. The equations incorporate the geometry of inelastic collisions and a driving mechanism in a transparent way. Energy is injected by boosting particles that hit the walls of the container to high energies. The numerical solution of the resulting equations yields approximate 冪次定律s over the entire energy region. The exponents decrease with the driving rate from about 2 to below 1.5 a

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