Persistence and dynamics in the ANNNI chain

被引：20

作者：

Sen, P ^{[1
]}

Dasgupta, S ^{[1
]}

机构：

[1] Univ Calcutta, Dept Phys, Kolkata 700009, W Bengal, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 50期

关键词：

D O I：

10.1088/0305-4470/37/50/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate both the local and global persistence behaviour in the ANNNI (axial next-nearest-neighbour Ising) model. We find that when the ratio kappa of the second neighbour interaction to the first neighbour interaction is less than 1, P (t), the probability of a spin to remain in its original state up to time t shows a stretched exponential decay. For kappa > 1, P(t) has an algebraic decay but the exponent is different from that of the nearest-neighbour Ising model. The global persistence behaviour shows similar features. We also conduct some deeper investigations in the dynamics of the ANNNI model and conclude that it has a different dynamical behaviour compared to the nearest-neighbour Ising model.

引用

页码：11949 / 11956

页数：8

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