Identifying universality classes of absorbing phase transitions by block renormalization
arXiv:1108.4799 · doi:10.1088/1742-5468/2011/11/P11023
Abstract
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.
15 pages, 7 eps figures
References in corpus (8)
- Universal scaling behavior of non-equilibrium phase transitions
- Directed percolation criticality in turbulent liquid crystals
- Absorbing state phase transitions with quenched disorder
- Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation
- Non-equilibrium Phase Transitions with Long-Range Interactions
- Tricritical directed percolation
- Tricritical directed percolation in 2+1 dimensions
- A conformal invariant growth model