Scaling behavior of the conserved transfer threshold process

Abstract

We analyze numerically the critical behavior of an absorbing phase transition in the conserved transfer threshold process. We determined the steady state scaling behavior of the order parameter as a function of both, the control parameter and an external field, conjugated to the order parameter. The external field is realized as a spontaneous creation of active particles which drives the system away from criticality. The obtained results yields that the conserved transfers threshold process belongs to the universality class of absorbing phase transitions in a conserved field.

6 pages, 8 figures, accepted for publication in Phys. Rev. E

Cited by in corpus (16)

• Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field
• Activated Random Walkers: Facts, Conjectures and Challenges
• Universal scaling behavior at the upper critical dimension of non-equilibrium continuous phase transitions
• Langevin theory of absorbing phase transitions with a conserved magnitude
• Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices
• Universal behavior of crossover scaling functions for continuous phase transitions
• Absorbing phase transitions in systems with mediated interactions
• Diffusion in stochastic sandpiles
• Dependence of asymptotic decay exponents on initial condition and the resulting scaling violation
• Hydrodynamics, density fluctuations and universality in conserved stochastic sandpiles
• Activity, diffusion, and correlations in a two-dimensional conserved stochastic sandpile
• Asymptotic behavior of the order parameter in a stochastic sandpile
• Violation of the Widom scaling law for effective crossover exponents
• Contact processes in crowded environments
• Series expansion for a stochastic sandpile
• Universality of continuous phase transitions on random Voronoi graphs