Relationships between a microscopic parameter and the stochastic equations for interface's evolution of two growth models |
| |
Authors: | CM Horowitz EV Albano |
| |
Institution: | (1) Instituto de Investigaciones Fisicoquımicas Teóricas y Aplicadas, (INIFTA), CONICET, UNLP. Sucursal 4, Casilla de Correo 16, (1900) La Plata, Argentina, AR |
| |
Abstract: | The relationship between a microscopic parameter p, that is related to the probability of choosing a mechanism of deposition, and the stochastic equation for the interface's
evolution is studied for two different models. It is found that in one model, that is similar to ballistic deposition, the
corresponding stochastic equation can be represented by a Kardar-Parisi-Zhang (KPZ) equation where both λ and ν depend on
p in the following way: ν(p) = νp and λ(p) = λp
3/2. Furthermore, in the other studied model, which is similar to random deposition with relaxation, the stochastic equation
can be represented by an Edwards-Wilkinson (EW) equation where ν depends on p according to ν(p) = νp
2. It is expected that these results will help to find a framework for the development of stochastic equations starting from
microscopic details of growth models.
Received 26 August 2002 / Received in final form 20 November 2002 Published online 6 March 2003
RID="a"
ID="a"e-mail: ealbano@inifta.unlp.edu.ar |
| |
Keywords: | PACS 68 35 Ct Interface structure and roughness – 05 40 -a Fluctuation phenomena random processes noise and Brownian motion – 02 50 -r Probability theory stochastic processes and statistics – 81 15 Aa Theory and models of film growth |
本文献已被 SpringerLink 等数据库收录! |
|