An algorithm for series expansions based on hierarchical rate equations

Preprint

11 December 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9512070

Abstract

We propose a computational method to obtain series expansions in powers of time for general dynamical systems described by a set of hierarchical rate equations. The method is generally applicable to problems in both equilibrium and nonequilibrium statistical mechanics such as random sequential adsorption, diffusion-reaction dynamics, and Ising dynamics. New result of random sequential adsorption of dimers on a square lattice is presented.

Keywords

RANDOM SEQUENTIAL ADSORPTION
HIERARCHICAL RATE EQUATIONS
SEQUENTIAL ADSORPTION
SERIES EXPANSIONS
DYNAMICAL SYSTEMS
EXPANSIONS BASED
RATE EQUATIONS
ALGORITHM

All Related Versions

Version 1, 1995-12-11, ArXiv
Published version: Journal of Physics A: General Physics, 29 (8), L177.

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