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arXiv 1112.0971cond-mat.stat-mechcond-mat.soft
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具有反射对称性的动力学约束模型中的堵塞转变

Jamming transition in kinetically constrained models with reflection symmetry

Hiroki Ohta, Shin-ichi Sasa

AI总结:

本文扩展 Fredrickson-Andersen 模型,提出具有反射对称性的动力学约束模型,证明其在方格上存在非平凡密度的冻结转变,并通过数值实验推测其奇异性机制不同于 spiral 模型。

摘要:

提出了一类具有反射对称性的动力学约束模型,作为 Fredrickson-Andersen 模型的扩展。证明了该模型在方格点上会在一个非平凡密度处表现出冻结转变。数值实验推测,先前研究的模型(spiral 模型)中冻结转变附近奇异行为的已知机制,并不能解释所提出模型中的相应行为。

英文摘要:

A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial density. It is conjectured by numerical experiments that the known mechanism of the singular behaviors near the freezing transition in a previously studied model (spiral model) is not responsible for that in the proposed model.

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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