Anomalous thermal relaxation of Langevin particles in a piecewise-constant potential
Anomalous thermal relaxation of Langevin particles in a piecewise-constant potential
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DOI：
10.1088/1742-5468/ac2edc
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发表时间：
2021-05
期刊：
影响因子：
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通讯作者：
M. Walker;M. Vucelja
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文献类型：
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作者：
M. Walker;M. Vucelja
我们考虑粒子的热弛豫在一个分段恒定的潜力景观，受到热波动的过阻尼限制。我们研究之间的连接的Mpemba效应的发生，亚稳态的存在下，和相变作为潜在的功能。我们发现，即使在没有亚稳态的情况下，Mpemba效应也存在。在所考虑的物理系统中，效应发生的区域的边界对应于方向的本征向量变化或相变。最后，我们讨论了强Mpemba效应的拓扑方面，并建议使用拓扑搜索物理系统中的Mpemba效应。
We consider the thermal relaxation of a particle in a piecewise-constant potential landscape, subject to thermal fluctuations in the overdamped limit. We study the connection between the occurrence of the Mpemba effect, the presence of metastable states, and phase transitions as a function of the potential. We find that the Mpemba effect exists even in cases without metastable states. In the considered physical system, the borders of the areas where the effect happens correspond to either eigenvector changes of direction or to phase transitions. Finally, we discuss the topological aspects of the strong Mpemba effect and propose using topology to search for the Mpemba effect in a physical system.