Finite-size calculations for the kinetic Ising model

Pandit, R. ; Forgacs, G. ; Rujan, P. (1981) Finite-size calculations for the kinetic Ising model Physical Review B: Condensed Matter and Materials Physics, 24 (3). pp. 1576-1578. ISSN 1098-0121

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Using a Hamiltonian formulation of the master equation, we carry out finite-size calculations for the dynamical critical exponent z of the kinetic Ising model in one and two dimensions. In one dimension, different appropriately normalized transition probabilities give different values for z; this result is based on both exact and finite-size calculations. We show that this "nonuniversal" behavior is due to the fact that the critical temperature for the one-dimensional Ising model is zero. In two dimensions we combine our finite-size calculations with finite-size scaling theory to calculate z. Even in this case we find that z depends on the form of the transition probability-a result that contradicts the universality hypothesis for dynamical critical behavior. We discuss the possible reasons for this contradiction.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:72691
Deposited On:29 Nov 2011 04:38
Last Modified:29 Nov 2011 04:38

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