非麦克斯韦初始密度下无碰撞连续介质动力学

2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB) Pub Date : 2018-07-06 DOI:10.1109/STAB.2018.8408394

T. Salnikova, V. Salnikov

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引用次数: 2

摘要

在引力场的周期性作用下，矩形平行六面体中的无碰撞理想气体表现出非平衡不可逆庞加莱循环。证明了对于任意初始概率分布密度，该系统在速度上不可逆地趋向于麦克斯韦分布，在坐标上不可逆地趋向于均匀分布。

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Kinetics of collisionless continuous medium for non-maxwellian initial density

Being periodically under gravitational force field, collisionless ideal gas in a rectangular parallelepiped performs the non-equilibrium irreversible Poincare cycles. We prove, that for any initial probability distribution density this system irreversibly tends to the Maxwell distribution on the velocities, and uniform distribution on the coordinates.

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2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB)

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