Disordered contact process with asymmetric spreading

Juhász, Róbert (2013) Disordered contact process with asymmetric spreading. PHYSICAL REVIEW E - STATISTICAL, NONLINEAR AND SOFT MATTER PHYSICS (2001-2015), 87 (2). ISSN 1539-3755

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Abstract

An asymmetric variant of the contact process where the activity spreads with different and in- dependent random rates to the left and to the right is introduced. A real space renormalization scheme is formulated for the model by means of which it is shown that the local asymmetry of spreading is irrelevant on large scales if the model is globally (statistically) symmetric. Otherwise, in the presence of a global bias in either direction, the renormalization method predicts two distinct phase transitions, which are related to the spreading of activity in and against the direction of the bias. The latter is found to be described by an infinite randomness fixed point while the former is not.

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