https://doi.org/10.1007/s100510050309
Dynamic critical properties of a one-dimensional probabilistic cellular automaton
Low Temperature Physics Section,
Saha Institute of Nuclear Physics,
Sector - 1, Block - AF, Bidhannagar,
Calcutta 700 064, India
Corresponding author: a pratip@hp1.saha.ernet.in
Received:
6
February
1998
Accepted:
17
February
1998
Published online: 15 May 1998
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998