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Interface Scaling in the Contact Process

Ronald Dickman·Miguel A. Munoz
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Abstract

Scaling properties of an interface representation of the critical contact process are studied in dimensions 1 - 3. Simulations confirm the scaling relation beta_W = 1 - theta between the interface-width growth exponent beta_W and the exponent theta governing the decay of the order parameter. A scaling property of the height distribution, which serves as the basis for this relation, is also verified. The height-height correlation function shows clear signs of anomalous scaling, in accord with Lopez' analysis [Phys. Rev. Lett. 83, 4594 (1999)], but no evidence of multiscaling.

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Ronald Dickman, Miguel A. Munoz. 2000-03-29. Interface Scaling in the Contact Process. https://doi.org/10.1103/physreve.62.7632

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