The one-dimensional contact process: duality and renormalisation

Abstract

We study the one-dimensional contact process in its quantum version using a recently proposed real space renormalisation technique for stochastic many-particle systems. Exploiting the duality and other properties of the model, we can apply the method for cells with up to 37 sites. After suitable extrapolation, we obtain exponent estimates which are comparable in accuracy with the best known in the literature.

15 pages

References in corpus (5)

• The universality class of absorbing phase transitions with a conserved field
• Low-density series expansions for directed percolation I: A new efficient algorithm with applications to the square lattice
• Density Matrix Renormalization Group and Reaction-Diffusion Processes
• Does hardcore interaction change absorbing type critical phenomena?
• Precise Critical Exponents for the Basic Contact Process

Cited by in corpus (16)

• Strong disorder fixed point in absorbing state phase transitions
• Absorbing state phase transitions with quenched disorder
• Long-range epidemic spreading in a random environment
• Thermodynamics of histories for the one-dimensional contact process
• Real-space renormalisation group approach to driven diffusive systems
• Quantum Scaling Approach to Nonequilibrium Models
• Facilitated spin models in one dimension: a real-space renormalization group study
• Absorbing-state phase transitions: exact solutions of small systems
• A Position-Space Renormalization-Group Approach for Driven Diffusive Systems Applied to the Asymmetric Exclusion Model
• Extinction transition in stochastic population dynamics in a random, convective environment
• Distribution of dynamical quantities in the contact process, random walks, and quantum spin chains in random environments
• Scaling of local persistence in the disordered contact process
• Critical behavior of models with infinite disorder at a star junction of chains
• Site-bond representation and self-duality for totalistic probabilistic cellular automata
• Two-stage coarsening mechanism in a kinetically constrained model of an attractive colloid
• Bootstrapping Nonequilibrium Stochastic Processes