AN ALGORITHM FOR SERIES EXPANSIONS BASED ON HIERARCHICAL RATE-EQUATIONS

Authors
GAN CK WANG JS
Citation
Ck. Gan et Js. Wang, AN ALGORITHM FOR SERIES EXPANSIONS BASED ON HIERARCHICAL RATE-EQUATIONS, Journal of physics. A, mathematical and general, 29(8), 1996, pp. 177-181
Citations number
13
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
8
Year of publication
1996
Pages
177 - 181
Database
ISI
SICI code
0305-4470(1996)29:8<177:AAFSEB>2.0.ZU;2-7
Abstract
We propose a computational method to obtain series expansions in power s of time for general dynamical systems described by a set of hierarch ical rate equations. The method is generally applicable to problems in both equilibrium and non-equilibrium statistical mechanics such as ra ndom sequential adsorption, diffusion-reaction dynamics, and Ising dyn amics. A new result for random sequential adsorption of dimers on a sq uare lattice is presented.