Growth with memory
Institut de Physique Théorique, Université de Fribourg, Pérolles, Fribourg, CH-1700, Switzerland
2 International School for Advanced Studies (SISSA), Via Beirut 2-4, 34014 Trieste, Italy
Accepted: 30 January 1997
A new model for cluster growth is introduced. The model is built with a long time memory which is similar to the one found in cluster growth in disordered media. The model, as a function of its parameter, interpolates between Eden growth and invasion percolation-like growth and has a behavior similar to self-avoiding walks in another limit.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates)
© EDP Sciences, 1997