Abstract
Static critical exponents for the two-dimensional Ising model are computed on a cellular automaton. The analysis of the data within the framework of the finite-size scaling theory reproduces their well-established values.
This is a preview of subscription content, log in via an institution to check access.
References
M. Creutz,Ann. Phys. 167:62 (1986).
G. Y. Vichniac,Physica D 10:96 (1984); Y. Pomeau,J. Phys. A 17:L145 (1984); H. J. Herrmann,J. Stat. Phys. 45:145 (1986); W. M. Lang and D. Stauffer,J. Phys. A 20:5413 (1987).
S. Ma,Modern Theory of Critical Phenomena, D. Pines, ed. (Benjamin/Cummings, Reading, Massachusetts, 1976).
B. Kutlu and N. Aktekin, unpublished.
V. Privman, ed.,Finite-Size Scaling and Numerical Simulation of Statistical Systems (World Scientific, Singapore, 1990); D. P. Landau,Phys. Rev. B 13:2997 (1976).
Author information
Authors and Affiliations
Additional information
Communicated by D. Stauffer
Rights and permissions
About this article
Cite this article
Kutlu, B., Aktekin, N. Computation of critical exponents for two-dimensional ising model on a cellular automaton. J Stat Phys 75, 757–763 (1994). https://doi.org/10.1007/BF02186880
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02186880