发表机构
Simon Fraser University（西蒙菲莎大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究引入无壁势能模拟胶体系统，证明Mpemba效应仅在浴温淬火速率超过临界值时出现，澄清了壁对效应非必需。\n
AI 中文摘要
胶体粒子系统中Mpemba效应的实验演示，通过初始条件施加瞬时温度淬火，其中单个粒子轨迹取自高温玻尔兹曼分布，然后在较低温度的浴中演化。用于高温分布的势能有两个壁，即使在有效无限温度下也限制了初始位置的范围。浴中演化的势能没有壁，并且在其支撑范围内与用于初始条件的势能相匹配。对于低浴温，有壁和无壁情况下的动力学差异可以忽略不计。尽管如此，有人推测壁可能比它们看起来更重要，甚至可能是Mpemba效应发生所必需的。在这里，我们引入了一种没有壁的新势能，并将其用于初始高温状态和后续演化。这个新势能使我们能够通过模拟研究有限淬火速率下的Mpemba效应。我们的结果有助于澄清关于Mpemba效应存在的直觉，并表明Mpemba效应仅出现在浴温淬火快于临界淬火速率的情况下。
英文摘要
Experimental demonstrations of the Mpemba effect in a colloidal-particle system have imposed an instantaneous temperature quench via an initial condition where individual particle trajectories are drawn from a high-temperature Boltzmann distribution and then evolve in a bath at lower temperature. The potential used for the high-temperature distribution has had two walls that impose a finite range of initial positions, even at effectively infinite temperatures. The potential for evolution in the bath had no walls and matched that used for the initial condition over its support. For low bath temperatures, the difference between the dynamics with and without walls is negligible. Nonetheless, it has been speculated that the walls are perhaps more important than they seem and might even be required for the Mpemba effect to occur. Here, we introduce a new potential that lacks walls and use it for both the initial high temperature state and for subsequent evolution. This new potential then allows us to investigate by simulation Mpemba effects at finite-quench rates. Our results help clarify intuitions concerning the existence of a Mpemba effect and show that the Mpemba effect appears only for bath-temperature quenches faster than a critical quench rate.
Comments17 pages, 7 figures
