Cooperative sequential adsorption models on a Cayley tree: analytical results and applications

被引：5

作者：

Mazilu, D. A. ^{[1
]}

Mazilu, I. ^{[1
]}

Seredinski, A. M. ^{[1
]}

Kim, V. O. ^{[1
]}

Simpson, B. M. ^{[1
]}

Banks, W. E. ^{[1
]}

机构：

[1] Washington & Lee Univ, Dept Phys & Engn, Lexington, VA 24450 USA

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2012年

基金：

美国国家科学基金会;

关键词：

solvable lattice models; stochastic particle dynamics (theory); thin film deposition (theory); pattern formation (theory); FILMS;

D O I：

10.1088/1742-5468/2012/09/P09002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present a class of cooperative sequential adsorption models on a Cayley tree with constant and variable attachment rates and their possible applications for ionic self-assembly of thin films and drug encapsulation of nanoparticles. Using the empty interval method, and generalizing results known from reaction diffusion processes on Cayley trees, we calculate a variety of quantities such as time-dependent surface coverage and time-dependent probabilities of certain particle configurations.

引用

页数：22

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