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具有粗糙化转变的一维系统的重整化群研究。

Renormalization-group study of one-dimensional systems with roughening transitions.

作者信息

Bianconi G, Muñoz M A, Gabrielli A, Pietronero L

机构信息

Dipartimento di Fisica and Unità di INFM, Università of Roma "La Sapienza," I-00185 Roma, Italy.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4 Pt A):3719-26. doi: 10.1103/physreve.60.3719.

DOI:10.1103/physreve.60.3719
PMID:11970204
Abstract

A recently introduced real-space renormalization-group technique, developed for the analysis of processes in the Kardar-Parisi-Zhang universality class, is generalized and tested by applying it to a different family of surface-growth processes. In particular, we consider a growth model exhibiting a rich phenomenology even in one dimension. It has four different phases and a directed percolation-related roughening transition. The renormalization method reproduces extremely well all of the phase diagram, the roughness exponents in all the phases, and the separatrix among them. This proves the versatility of the method and elucidates interesting physical mechanisms.

摘要

一种最近引入的实空间重整化群技术,是为分析 Kardar-Parisi-Zhang 普适类中的过程而开发的,现通过将其应用于另一类表面生长过程进行了推广和测试。特别地,我们考虑一个即使在一维情况下也展现出丰富现象学的生长模型。它有四个不同的相以及一个与定向渗流相关的粗糙化转变。重整化方法极其出色地再现了整个相图、所有相中粗糙度指数以及它们之间的分界线。这证明了该方法的通用性并阐明了有趣的物理机制。

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