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The European Physical Journal BISSN: 1434-6028 (printed version) Abstract Volume 3 Issue 2 (1998) pp 247-252 Dynamic critical properties of a one-dimensional probabilistic cellular automaton
P. Bhattacharyya (a)
Low Temperature Physics Section, Saha Institute of Nuclear Physics, Sector - 1, Block - AF, Bidhannagar, Calcutta 700 064, India Received: 6 February 1998 / Revised and Accepted: 17 February 1998 Abstract: Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by Monte Carlo simulation near a critical point which marks a second-order phase transition from an active state to an effectively unique absorbing state. Values obtained for the dynamic critical exponents indicate that the transition belongs to the universality class of directed percolation. Finally the model is compared with a previously studied one to show that a difference in the nature of the absorbing states places them in different universality classes.
PACS. 05.20.-y Statistical mechanics - 64.60.Cn Order-disorder transformations; statistical mechanics of model systems - 05.45.+b Theory and models of chaotic systems
(a) email: pratip@hp1.saha.ernet.in Article in PDF-Format (812 KB) Online publication: July 9, 1998 |