Glassiness and constrained dynamics of a short-range nondisordered spin model

Glassiness and constrained dynamics of a short-range nondisordered spin model
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短程无序自旋模型的玻璃态和约束动力学

DOI:
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发表时间:
2000
期刊:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子:
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通讯作者:
M. Newman
M. Newman
中科院分区:
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文献类型:
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作者:
J. P. Garrahan;M. Newman

文献摘要

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我们研究了一个具有均匀铁磁相互作用的二维短程自旋系统的低温动力学,尽管该系统不存在无序或挫折,但它在低温下显示出玻璃性。该模型具有受动力学约束的自由缺陷的双重描述,是玻璃态系统 "分层约束动力学 "情景的明确实现。我们给出了模型静力学的一系列精确结果,并详细研究了一次性和二次量的动力学行为。我们还考虑了可精确计算的构型熵在波动与响应之间的关系中所起的作用。
We study the low temperature dynamics of a two-dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual description in terms of free defects subject to dynamical constraints, and is an explicit realization of the "hierarchically constrained dynamics" scenario for glassy systems. We give a number of exact results for the statics of the model, and study in detail the dynamical behavior of one-time and two-time quantities. We also consider the role played by the configurational entropy, which can be computed exactly, in the relation between fluctuations and response.