Relaxation and overlap-probability function in the spherical and mean-spherical models.

Relaxation and overlap-probability function in the spherical and mean-spherical models.
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球面和平均球面模型中的松弛和重叠概率函数。

DOI:
10.1103/physreve.66.066113
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发表时间:
2002
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
M. Zannetti
M. Zannetti
中科院分区:
--
文献类型:
--
作者:
N. Fusco;M. Zannetti

文献摘要

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球和平均球模型,这已被彻底研究,并了解在平衡的等价性的问题,被认为是重新从动力学的角度来看,在时间的演变过程中淬火从上面到下面的临界温度。发现存在约为V(2/d)的交叉时间t(*),使得对于tt(*)出现宏观差异。的非平衡响应函数和结构之间的关系,通常持有相序系统的平衡状态,被发现持有的球形模型,但不为平均球的。后一个模型提供了一个明确的例子,系统是不随机稳定的。
The problem of the equivalence of the spherical and mean-spherical models, which has been thoroughly studied and is understood in equilibrium, is considered anew from the dynamical point of view during the time evolution following a quench from above to below the critical temperature. It is found that there exists a crossover time t(*) approximately V(2/d) such that for tt(*) macroscopic discrepancies arise. The relation between the off equilibrium response function and the structure of the equilibrium state that usually holds for phase ordering systems is found to hold for the spherical model but not for the mean-spherical one. The latter model offers an explicit example of a system which is not stochastically stable.