论文标题

更热的Paramagnet应该更快地转换为Ferromagnet吗? Ising模型的蒙特卡洛模拟结果

Should a hotter paramagnet transform quicker to a ferromagnet? Monte Carlo simulation results for Ising model

论文作者

Vadakkayil, Nalina, Das, Subir K.

论文摘要

为了更快地形成冰,在插入冰箱内之前,加热水物可能是有益的。我们报告了在铁磁体订购过程中对这个有趣事实(ME)的同行的首次观察。通过对通用模型进行蒙特卡洛模拟,我们获得了从临界点以上的各个温度中淬灭的系统的松弛结果。对于固定的最终温度,具有较高起始温度的系统比在较低温度下制备的系统更快,这意味着我的存在。该观察结果极为违反直觉,特别是因为该模型没有通常认为可以为我提供的内置挫败感或稳定性。通过计算有关结构和能量的非平衡性能,我们量化了这种基本和技术相关的观察结果背后关键波动的作用。

For quicker formation of ice, before inserting inside a refrigerator, heating up of a body of water can be beneficial. We report first observation of a counterpart of this intriguing fact, referred to as the Mpemba effect (ME), during ordering in ferromagnets. By performing Monte Carlo simulations of a generic model, we have obtained results on relaxation of systems that are quenched to sub-critical state points from various temperatures above the critical point. For a fixed final temperature, a system with higher starting temperature equilibrates faster than the one prepared at a lower temperature, implying the presence of ME. The observation is extremely counter-intuitive, particularly because of the fact that the model has no in-built frustration or metastability that typically is thought to provide ME. Via the calculations of nonequilibrium properties concerning structure and energy, we quantify the role of critical fluctuations behind this fundamental as well as technologically relevant observation.

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