EXACT FIRST-PASSAGE EXPONENTS OF 1D DOMAIN GROWTH - RELATION TO A REACTION-DIFFUSION MODEL

被引：229

作者：

DERRIDA, B ^{[1
]}

HAKIM, V ^{[1
]}

PASQUIER, V ^{[1
]}

机构：

[1] CENS,SERV PHYS THEOR,F-91191 GIF SUR YVETTE,FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.75.751

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the zero temperature Glauber dynamics of the ferromagnetic Ising or q-state Potts model, the size of domains is known to grow like t(1/2). Recent simulations have shown that the fraction r(q, t) of spins, which have never flipped up to time t, decays like the power law r(q, t) similar to t(-theta(q)) with a nontrivial dependence of the exponent theta(q) on q and on space dimension. By mapping the problem on an exactly soluble one-species coagulation model (A + A --> A), we obtain the exact expression of theta(q) in dimension one.

引用

页码：751 / 754

页数：4

共 35 条

[1] REACTION-DIFFUSION PROCESSES, CRITICAL-DYNAMICS, AND QUANTUM CHAINS [J].