a cellular automata study of constraints (dissolvence) in a percolating many-particle system细胞自动机研究约束(dissolvence)渗透基本粒子系统.pdfVIP

Entropy 2001, 3, 27-57 entropy ISSN 1099-4300 /entropy/ A Cellular Automata Study of Constraints (Dissolvence) in a Percolating Many-Particle System Bernard Testa 1*, Lemont B. Kier 2, Chun-Kao Cheng 3 and Joachim Mayer1 1 Department of Medicinal Chemistry, School of Pharmacy, University of Lausanne, CH-1015 Lausanne, Switzerland 2 Department of Medicinal Chemistry, Virginia Commonwealth University, Richmond, Virginia 23298, USA 3 Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia 23298, USA * Author to whom correspondence should be addressed. E-mail: Bernard.Testa@ict.unil.ch Received: 19 December 2000 / Accepted: 15 March 2001 / Published: 11 April 2001 Abstract: In a recent study by Kier, Cheng and Testa, simulations were carried out to monitor and quantify the emergence of a collective phenomenon, namely percolation, in a many-particle system modeled by cellular automata (CA). In the present study, the same set- up was used to monitor the counterpart to collective behavior, namely the behavior of individual particles, as modeled by occupied cells in the CA simulations. As in the previous study, the input variables were the concentration of occupied cells and their joining and breaking probabilities. The first monitored attribute was the valence configuration (state) of the occupied cells, namely the percent of occupied cells in configuration F (%F ), where i = i i number of occupi