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Nonuniversality and critical point shift in systems with infinitely many absorbing configurations

Ronald Dickman
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Abstract

A detailed study of critical spreading in the one-dimensional pair contact process is performed using a recently devised reweighting method. The results confirm the validity of a generalized hyperscaling relation among the (nonuniversal) spreading exponents, and support the assertion that the critical point location does not depend on the particle density ϕ. It appears that the exponents z and delta+eta, once thought to be invariant, exhibit a systematic dependence on ϕ.

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Ronald Dickman. 1999-09-23. Nonuniversality and critical point shift in systems with infinitely many absorbing configurations. https://arxiv.org/abs/cond-mat/9909347

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