An algorithm for series expansions based on hierarchical rate equations

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.

LaTeX, 9 pages including 1 figure

Cited by in corpus (4)

• Random Sequential Adsorption, Series Expansion and Monte Carlo Simulation
• Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies
• Series expansion studies of random sequential adsorption with diffusional relaxation
• Extended series expansions for random sequential adsorption