A deterministic model of competitive cluster growth: glassy dynamics, metastability and pattern formation

被引：0
|
作者：
J. M. Luck
A. Mehta
机构：
[1] Service de Physique Théorique (URA 2306 of CNRS) ,
[2] CEA Saclay,undefined
[3] S.N. Bose National Centre for Basic Sciences,undefined
[4] Block JD,undefined
[5] Sector 3,undefined
[6] Salt Lake,undefined
来源：
The European Physical Journal B - Condensed Matter and Complex Systems | 2005年 / 44卷
关键词：
Spectroscopy; Neural Network; State Physics; Complex System; Spatial Pattern;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate a model of interacting clusters which compete for growth. For a finite assembly of coupled clusters, the largest one always wins, so that all but this one die out in a finite time. This scenario of ‘survival of the biggest’ still holds in the mean-field limit, where the model exhibits glassy dynamics, with two well separated time scales, corresponding to individual and collective behaviour. The survival probability of a cluster eventually falls off according to the universal law (ln t)-1/2. Beyond mean field, the dynamics exhibits both aging and metastability, with a finite fraction of the clusters surviving forever and forming a non-trivial spatial pattern.
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页码：79 / 92
页数：13
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