Persistence and the random bond Ising model in two dimensions.
Persistence and the random bond Ising model in two dimensions.
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DOI：
10.1103/physreve.73.025701
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发表时间：
2005-12
期刊：
影响因子：
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通讯作者：
S. Jain;H. Flynn
中科院分区：
文献类型：
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作者：
S. Jain;H. Flynn
通过大量的数值模拟研究了正方形晶格上随机键+/-J-Ising模型中的零温持续现象。无论系统中的混乱程度如何，我们都发现了“阻塞”的有力证据。当铁磁键的浓度从0变化到1时，从不翻转的自旋比例显示出有趣的非单调、双峰行为。该峰被认为是模型中零温度自旋玻璃化转变的开始。发现剩余余辉是以代数方式衰减的，并且余辉指数在0.1<；或=p<；或=0.9的范围内近似=0.9。我们的结果与Gandolfi，Newman和Stein关于无限系统的结果是完全一致的，该模型具有“混合”行为，即分别无限次和无限次翻转的自旋的正分数。作者声明：[Gandolfi，Newman and Stein，Commun.数学课。太棒了。214,373(2000年)。]。
We study the zero-temperature persistence phenomenon in the random bond +/-J Ising model on a square lattice via extensive numerical simulations. We find strong evidence for "blocking" regardless of the amount disorder present in the system. The fraction of spins which never flips displays interesting nonmonotonic, double-humped behavior as the concentration of ferromagnetic bonds is varied from zero to one. The peak is identified with the onset of the zero-temperature spin glass transition in the model. The residual persistence is found to decay algebraically and the persistence exponent theta(p) approximately = 0.9 over the range 0.1< or =p< or =0.9. Our results are completely consistent with the result of Gandolfi, Newman, and Stein for infinite systems that this model has "mixed" behavior, namely positive fractions of spins that flip finitely and infinitely often, respectively. [Gandolfi, Newman and Stein, Commun. Math. Phys. 214, 373 (2000).].