Relaxation time for a dimer covering with height representation
Relaxation time for a dimer covering with height representation
复制标题
具有高度表示的二聚体覆盖的弛豫时间
DOI：
10.1007/bf02765532
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发表时间：
1996
影响因子：
1.6
通讯作者：
C. Henley
中科院分区：
文献类型：
--
作者：
C. Henley
本文考虑正方形晶格随机二聚体复盖的蒙特卡罗动力学，它可以映射到一个粗糙的界面模型。识别出两种慢模式，分别与界面高度的长波起伏和全系统平均高度的慢漂移(时间)有关。在连续介质理论中，任一种模的最长弛豫时间随系统大小N的变化而变化。对于实的离散模型，利用对应于两种连续模式的变分特征函数，给出了松弛时间的精确下界
This paper considers the Monte Carlo dynamics of random dimer coverings of the square lattice, which can be mapped to a rough interface model. Two kinds of slow modes are identified, associated respectively with long-wavelength fluctuations of the interface height, and with slow drift (in time) of the system-wide mean height. Within a continuum theory, the longest relaxation time for either kind of mode scales as the system sizeN. For the real, discrete model, an exactlower bound ofO(N) is placed on the relaxation time, using variational eigenfunctions corresponding to the two kinds of continuum modes