2000/01/31 by Haye Hinrichsen · 1 citation
Mathematics · Physics and Astronomy · #Branching process #Complex Network Analysis Techniques #Condensed matter physics #Critical exponent #Critical phenomena #Mathematical physics #Mathematics #Monte Carlo method #Non-equilibrium thermodynamics #Phase transition #Physics #Quantum mechanics #Random walk #Renormalization group #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.63.036102
published as Phys. Rev. E 63, 36102 (2001) · RevTeX, 3 pages, 2 eps figures, adapted to final version of cond-mat/9912347
arxiv created 2000/09/21 · openalex publication_date 2001/02/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the preceding article Carlon et al. investigate the critical behavior of the pair contact process with diffusion. Using density matrix renormalization group methods, they estimate the critical exponents, raising the possibility that the transition might belong to the same universality class as branching annihilating random walks with even numbers of offspring. This is surprising since the model does not have an explicit parity-conserving symmetry. In order to understand this contradiction, we estimate the critical exponents by Monte Carlo simulations. The results suggest that the transition might belong to a different universality class that has not been investigated before.