Emergence of cooperative dynamics in fully packed classical dimers.

Emergence of cooperative dynamics in fully packed classical dimers.
复制标题

完全包装的经典二聚体中合作动力学的出现。

DOI:
10.1103/physreve.93.032129
复制
发表时间:
2016
期刊:
Physical review. E
影响因子:
--
通讯作者:
Oakes T
Oakes T
中科院分区:
--
文献类型:
--
作者:
Oakes T

文献摘要

参考文献

被引文献

相似文献

方形晶格上的经典二聚体模型是受强局部约束的系统的典型示例。我们通过蒙特卡洛模拟和理论论证来研究其在局部随机动力学下的行为。我们在全局和局部可观测值以及广泛的时间尺度上观察到相关动态的清晰特征,这表明很好地近似静态的简单连续统描述的崩溃。我们表明,这种集体动力学可以用高迁移率的一维“弦”来理解,它控制着局部和长波长的动力学特性。我们基于 Edwards-Wilkinson 模型引入了弦的粗粒度描述,该模型可以在低弦密度的限制下得出准确的结果,并提供对所有通量扇区动态的详细定性理解。我们更广泛地讨论我们的结果对约束系统动力学的影响。
The classical dimer model on the square lattice is a paradigmatic example of a system subject to strong local constraints. We study its behavior under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We observe clear signatures of correlated dynamics in both global and local observables and over a broad range of time scales, indicating a breakdown of the simple continuum description that approximates well the statics. We show that this collective dynamics can be understood in terms of one-dimensional “strings” of high mobility, which govern both local and long-wavelength dynamical properties. We introduce a coarse-grained description of the strings, based on the Edwards-Wilkinson model, which leads to exact results in the limit of low string density and provides a detailed qualitative understanding of the dynamics in all flux sectors. We discuss the implications of our results for the dynamics of constrained systems more generally.
具有高度表示的二聚体覆盖的弛豫时间
DOI: 10.1007/bf02765532
发表时间: 1996
影响因子: 1.6
作者:
C. Henley
通讯作者: C. Henley
DOI: 10.1088/0305-4470/15/11/011
发表时间: 1982
期刊: Journal of Physics A
影响因子: --
作者:
H. Blote;H. J. Hilborst
通讯作者: H. J. Hilborst
方形晶格上具有各向异性相互作用的经典二聚体模型。
DOI: --
发表时间: 2009
期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子: --
作者:
H. Otsuka
通讯作者: H. Otsuka
二分和非二分 Rokhsar-Kivelson 点的动态二聚体相关性
DOI: 10.1088/1742-5468/2008/01/p01010
发表时间: 2007
期刊: Journal of Statistical Mechanics: Theory and Experiment
影响因子: --
作者:
A. Läuchli;S. Capponi;F. Assaad
通讯作者: F. Assaad
顶点模型中不存在异常尺寸:定向聚合物的半稀溶液。
DOI: --
发表时间: 1991
期刊: Physical Review A. Atomic, Molecular, and Optical Physics
影响因子: --
作者:
Bhattacharjee;Rajasekaran
通讯作者: Rajasekaran