Internal fluctuations effects on Fisher waves

被引：45

作者：

Moro, E ^{[1
]}

机构：

[1] Univ Oxford, Oxford OX1 3NP, England

来源：

PHYSICAL REVIEW LETTERS | 2001年 / 87卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.87.238303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the diffusion-limited reaction A + A <-> A in various spatial dimensions to observe the effect of internal fluctuations on the interface between stable and unstable phases, We find that, similar to what has been observed in d = 1 dimensions. internal fluctuations modify the mean-field predictions for this process, which is given by Fisher's reaction-diffusion equation. In d > 1 the front displays local fluctuations perpendicular to the direction of motion which, with a proper definition of the interface, can be fully described within the Kardar-Parisi-Zhang (KPZ) universality class. This clarifies the apparent discrepancies with KPZ predictions reported recently.

引用

页码：238303 / 1

页数：4

共 31 条

[1] Ballistic and diffusive corrections to front propagation in the presence of multiplicative noise [J].