On the adiabatic properties of a stochastic adiabatic wall: Evolution, stationary non-equilibrium, and equilibrium states
On the adiabatic properties of a stochastic adiabatic wall: Evolution, stationary non-equilibrium, and equilibrium states
复制标题
关于随机绝热壁的绝热性质：演化、稳态非平衡和平衡状态
DOI：
10.1016/s0378-4371(99)00237-x
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发表时间：
1999
影响因子：
3.3
通讯作者：
L. Frachebourg
中科院分区：
文献类型：
--
作者：
C. Gruber;L. Frachebourg
研究了绝热活塞问题的时间演化及其随机运动的后果。该模型是一个质量为 M 的一维活塞，将两种由质量为 m⪡M 的点粒子组成的理想流体分开。对于无限系统，即使活塞两侧的压力相等但温度不同，活塞也会非常迅速地演化为具有非零平均速度的静止非平衡状态。对于有限系统，表明演化分两个阶段进行：首先，系统相当快速且绝热地演化至压力相等但温度不同的亚稳态；然后，演化过程会极其缓慢地朝着压力和温度相等的平衡状态发展。给出了模型的数值模拟。微观方法、热力学方程和模拟的结果在定性上表现出良好的一致性。
The time evolution of the adiabatic piston problem and the consequences of its stochastic motion are investigated. The model is a one-dimensional piston of mass M separating two ideal fluids made of point particles with mass m⪡M. For infinite systems it is shown that the piston evolves very rapidly toward a stationary non-equilibrium state with non-zero average velocity even if the pressures are equal but the temperatures different on both sides of the piston. For a finite system it is shown that the evolution takes place in two stages: first the system evolves rather rapidly and adiabatically toward a metastable state where the pressures are equal but the temperatures different; then the evolution proceeds extremely slowly toward the equilibrium state where both the pressures and the temperatures are equal. Numerical simulations of the model are presented. The results of the microscopical approach, the thermodynamical equations and the simulations are shown to be qualitatively in good agreement.