用两种不同质量的球研究颗粒气体中的循环Maxwell Demon
Cyclic Maxwell Demon in granular gas using 2 kinds of spheres with different masses
摘要：
在两种粒子混合的情况下，重新讨论了粒状气体中的麦克斯韦妖问题。相空间为2d。通过研究两种参数相同但质量不同的粒子的情况，证明了具有周期分离的循环轨道的存在性。在大激励下，应获得均分，但在螺旋中发现向稳定状态的收敛。螺旋收敛是由于两个物种之间的动能转移的规则。结果表明，最可能的情况是稳态在低于分叉阈值的较低振动幅度下进入循环轨道。分叉的性质是未知的，它可以是临界的，亚临界的，超临界的，或者可以表现出三临界点作为不同的控制参数。在很低的振幅下没有得到任何结论：推测在进一步冷却下产生麦克斯韦妖和偏析的是两个π。
英文摘要：
The problem of Maxwell's demon in granular gas is revisited in the case of a mixture of two particle species. The phase space is found to be 2d. Existence of cyclic orbits, with periodic segregation, is demonstrated by investigating the case of 2 kinds of particles with identical parameters but different masses. At large excitation equi-partition shall be obtained, but convergence towards the steady state is found in spiral. The spiral convergence is imposed due to the rule of kinetic-energy transfer between the two species. It results that the most probable scenario is that the steady state breaks into cyclic orbit at lower amplitude of vibration below a bifurcation threshold. The nature of the bifurcation is not known; it can be critical, subcritical, hypercritical or can exhibit a tri-critical point as varying the control parameters. No conclusion is obtained at very low vibration amplitude: it is guessed two scenarii under further cooling which generates Maxwell's demon and segregation..
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