Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field

Abstract

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to validate certain hyperscaling relations. Using this hyperscaling relations it is possible to express the avalanche exponents of a self-organized critical system in terms of the ordinary exponents of a continuous absorbing phase transition.

arXiv comment12 pages, 14 figures, accepted for publication in Phys. Rev. E

References in corpus (16)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Paths to Self-Organized Criticality
• The universality class of absorbing phase transitions with a conserved field
• Avalanche and spreading exponents in systems with absorbing states
• Absorbing-state phase transitions in fixed-energy sandpiles
• Universality in Sandpile Models
• Generalized Scaling for Models with Multiple Absorbing States
• Moment analysis of the probability distributions of different sandpile models
• Critical behavior of a one-dimensional fixed-energy stochastic sandpile
• Field theory of absorbing phase transitions with a non-diffusive conserved field
• Universal scaling behavior at the upper critical dimension of non-equilibrium continuous phase transitions
• The Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension
• Scaling behavior of the conserved transfer threshold process
• Scaling behavior of the order parameter and its conjugated field in an absorbing phase transition around the upper critical dimension
• Universal behavior of crossover scaling functions for continuous phase transitions
• Persistence distributions in a conserved lattice gas with absorbing states

Cited by in corpus (42)

• Fixed-Energy Sandpiles Belong Generically to Directed Percolation
• Tricritical directed percolation
• Sampling methods for the quasistationary regime of epidemic processes on regular and complex networks
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Activated Random Walkers: Facts, Conjectures and Challenges
• 25 Years of Self-Organized Criticality: Numerical Detection Methods
• Theoretical foundations of studying criticality in the brain
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Abelian Manna model on various lattices in one and two dimensions
• Universality and a numerical ε-expansion of the Abelian Manna model below upper critical dimension
• Scaling behavior of the directed percolation universality class
• Interplay between an absorbing phase transition and synchronization in a driven granular system
• Universal finite-size scaling analysis of Ising models with long-range interactions at the upper critical dimensionality: Isotropic case
• Finite-size scaling of directed percolation above the upper critical dimension
• Absorbing phase transitions in systems with mediated interactions
• Scaling functions for systems with finite range of interaction
• Yielding is an absorbing phase transition with vanishing critical fluctuations
• Finite-size scaling of directed percolation in the steady state
• 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
• Equivalence of conditional and external field ensembles in absorbing state phase transitions
• Simple quasistationary method for simulations of epidemic processes with localized states
• Activity, diffusion, and correlations in a two-dimensional conserved stochastic sandpile
• Asymptotic behavior of the order parameter in a stochastic sandpile
• Contact processes in crowded environments
• Connecting the Micro-dynamics to the Emergent Macro-variables: Self-Organized Criticality and Absorbing Phase Transitions in the Deterministic Lattice Gas
• Asynchronous SIR model on Two-Dimensional Quasiperiodic Lattices
• Revisiting Absorbing Phase Transition in Energy Exchange Models
• Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model
• A New (aleph) Stochastic Quenched Disorder Model for Interaction of Network- Master node
• Universality of continuous phase transitions on random Voronoi graphs
• Absorbing phase transitions in a non-conserving sandpile model
• Absorbing Phase Transition in a Four State Predator Prey Model in One Dimension
• Controlling Cost in Sandpile Models Through Local Adjustment of Drive
• Critical properties of deterministic and stochastic sandpile models on two-dimensional percolation backbone
• Block scaling in the directed percolation universality class
• Multi-chain models of Conserved Lattice Gas
• The rise and fall of hubs in Self-Organized Critical learning networks
• Inverse Ising inference, hyperuniformity and absorbing states in the Manna model
• The contact process in disordered and periodic binary two-dimensional lattices
• Stochastic spreading processes on a network model based on regular graphs