论文标题
非单调mpemba在二元分子悬浮液中的效应
Non-monotonic Mpemba effect in binary molecular suspensions
论文作者
论文摘要
MPEMBA效应是一种现象,其中最初更热的样品会更快冷却。在本文中,我们显示了浸入粘性气体中的分子二元混合物中非单调mpemba样效应的出现。也就是说,当至少一个样品表现出非单调弛豫时,温度演变中的交叉变化。浴缸对颗粒动力学的影响是通过粘性阻力加上随机Langevin样项来建模的。混合物的每个成分都取决于其颗粒的机械性能,将能量与浴缸互换。这种歧视导致温度的时间演变与每个成分的部分温度的耦合。非单调的mpemba效应及其反向和混合的效应源于这种耦合。为了获得分析结果,通过考虑多振体Maxwellian分布来近似每个组件的速度分布函数。源自恩斯科(Enskog)动力学理论的理论结果与直接模拟蒙特卡洛(DMSC)数据显示出了极好的一致性。
The Mpemba effect is a phenomenon in which an initially hotter sample cools sooner. In this paper, we show the emergence of a non-monotonic Mpemba-like effect in a molecular binary mixture immersed in a viscous gas. Namely, a crossover in the temperature evolution when at least one of the samples presents non-monotonic relaxation. The influence of the bath on the dynamics of the particles is modeled via a viscous drag force plus a stochastic Langevin-like term. Each component of the mixture interchanges energy with the bath depending on the mechanical properties of its particles. This discrimination causes the coupling between the time evolution of temperature with that of the partial temperatures of each component. The non-monotonic Mpemba effect -- and its inverse and mixed counterparts -- stems from this coupling. In order to obtain analytical results, the velocity distribution functions of each component are approximated by considering multitemperature Maxwellian distributions. The theoretical results derived from the Enskog kinetic theory show an excellent agreement with direct simulation Monte Carlo (DMSC) data.