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arXiv 1510.03412cond-mat.softcond-mat.stat-mech
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简单可解能量景观模型中玻璃化转变的最小冷却速度

Minimal cooling speed for glass transition in a simple solvable energy landscape model

J. Quetzalcóatl Toledo-Marín, Isaac Pérez Castillo, Gerardo G. Naumis

摘要:

最小的冷却速度所需的形成玻璃得到一个简单的可解能量景观模型。该模型,从一个两级系统修改,包括拓扑结构的能源景观,是能够捕捉到玻璃化转变或结晶取决于冷却速率。在此设置中,然后发现实现玻璃形成的最小冷却速度与弛豫时间和热历史有关。特别是,我们得到的热历史编码小波动的平衡人口附近的玻璃化转变,这在数学上对应于主方程的边界层的指数放大。最后,为了验证我们的分析结果,动力学蒙特卡罗模拟实施。

英文摘要:

The minimal cooling speed required to form a glass is obtained for a simple solvable energy landscape model. The model, made from a two-level system modified to include the topology of the energy landscape, is able to capture either a glass transition or a crystallization depending on cooling rate. In this setup, the minimal cooling speed to achieve glass formation is then found to be related with the relaxation time and with the thermal history. In particular, we obtain that the thermal history encodes small fluctuations around the equilibrium population which are exponentially amplified near the glass transition, which mathematically corresponds to the boundary layer of the master equation. Finally, to verify our analytical results, a kinetic Monte-Carlo simulation was implemented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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