论文标题
MPEMBA在驱动的粒状麦克斯韦气体中的效应
Mpemba effect in driven granular Maxwell gases
论文作者
论文摘要
MPEMBA效应是指违反直觉的结果，即当淬火至低温时，在较高温度下的系统可能比中等温度下的系统更快。最近在驱动的颗粒气中证明了这种效果，包括基于扰动分析的光滑和粗糙的硬球系统。在本文中，我们考虑了无弹性驱动的麦克斯韦气体，麦克斯韦气体是颗粒气的简化模型，其中碰撞速率被认为与相对速度无关。通过精确的分析，我们确定该模型中MPEMBA效应的条件。对于单分散的气体，我们表明仅在允许初始状态为非平稳的情况下，而对于双分散气体，则会存在mpemba效应，而对于稳态初始状态，则存在它。我们还证明了双分散的麦克斯韦气体的强大mpemba效应的存在，其中，在较高温度下的系统以指数速度的速度呈较快的速度，导致平衡时间较小。
Mpemba effect refers to the counterintuitive result that, when quenched to a low temperature, a system at higher temperature may equilibrate faster than one at intermediate temperatures. This effect has recently been demonstrated in driven granular gases, both for smooth as well as rough hard-sphere systems based on a perturbative analysis. In this paper, we consider the inelastic driven Maxwell gas, a simplified model for a granular gas, where the rate of collision is assumed to be independent of the relative velocity. Through an exact analysis, we determine the conditions under which a Mpemba effect is present in this model. For mono-dispersed gases, we show that the Mpemba effect is present only when the initial states are allowed to be non-stationary, while for bi-dispersed gases, it is present for steady state initial states. We also demonstrate the existence of the strong Mpemba effect for bi-dispersed Maxwell gas wherein the system at higher temperature relaxes to a final steady state at an exponentially faster rate leading to smaller equilibration time.
