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arXiv 1303.1771cond-mat.stat-mech
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非普适无序Glauber动力学

Non-universal disordered Glauber dynamics

Marcelo D. Grynberg, Robin B. Stinchcombe

摘要:

本文用双线性费米子哈密顿量来考虑一维耦合无序的Glauber动力学。动态指数体现在这些后者的频谱间隙的数值评估平均超过二进制和高斯无序实现。在第一种情况下,这些指数被发现遵循那些平原二聚链的非普适值。在第二种情况下,他们的价值观仍然是非普遍的和次扩散低于临界方差,然而,以上的松弛时间建议增长作为一个拉伸指数的平衡相关长度。

英文摘要:

We consider the one-dimensional Glauber dynamics with coupling disorder in terms of bilinear fermion Hamiltonians. Dynamic exponents embodied in the spectrum gap of these latter are evaluated numerically by averaging over both binary and Gaussian disorder realizations. In the first case, these exponents are found to follow the non-universal values of those of plain dimerized chains. In the second situation their values are still non-universal and sub-diffusive below a critical variance above which, however, the relaxation time is suggested to grow as a stretched exponential of the equilibrium correlation length.

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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