Identifying universality classes of absorbing phase transitions by block renormalization

Details Identifying universality classes of absorbing phase transitions by block renormalization Identifying universality classes of absorbing phase transitions by block renormalization

2011-08-24

arxiv.org/abs/1108.4799v1

J. Stat. Mech. (2011) P11023

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 eps figures

Scientific paper

10.1088/1742-5468/2011/11/P11023

We propose a renormalization scheme that can be used as a reliable method to identify universality classes of absorbing phase transitions. Following the spirit of Wilson's block-spin renormalization group, the lattice is divided into blocks, assigning to them an effective state by a suitable Boolean function of the interior degrees of freedom. The effective states of adjacent blocks form certain patterns which are shown to occur with universal probability ratios if the underlying process is critical. Measuring these probability ratios in the limit of large block sizes one obtains a set of universal numbers as an individual fingerprint for each universality class.

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