How to discriminate easily between Directed-percolation and Manna scaling

Abstract

Here we compare critical properties of systems in the directed-percolation (DP) universality class with those of absorbing-state phase transitions occurring in the presence of a non-diffusive conserved field, i.e. transitions in the so-called Manna or C-DP class. Even if it is clearly established that these constitute two different universality classes, most of their universal features (exponents, moment ratios, scaling functions,...) are very similar, making it difficult to discriminate numerically between them. Nevertheless, as illustrated here, the two classes behave in a rather different way upon introducing a physical boundary or wall. Taking advantage of this, we propose a simple and fast method to discriminate between these two universality classes. This is particularly helpful in solving some existing discrepancies in self-organized critical systems as sandpiles.

7 Pages, 4 Figures

References in corpus (22)

• Universality classes in nonequilibrium lattice systems
• Universal scaling behavior of non-equilibrium phase transitions
• 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
• Tracer Dispersion in a Self-Organized Critical System
• Absorbing-state phase transitions in fixed-energy sandpiles
• Driving, conservation and absorbing states in sandpiles
• Integration of Langevin Equations with Multiplicative Noise and Viability of Field Theories for Absorbing Phase Transitions
• Density Matrix Renormalization Group and Reaction-Diffusion Processes
• Field theory of absorbing phase transitions with a non-diffusive conserved field
• Emergent spatial structures in critical sandpiles
• Generic Sandpile Models Have Directed Percolation Exponents
• Some Results and a Conjecture for Manna's Stochastic Sandpile Model
• Large Scale Structures, Symmetry, and Universality in Sandpiles
• Directed Percolation and Systems with Absorbing States: Impact of Boundaries
• Directed percolation near a wall
• Directed Percolation with a Wall or Edge
• Surface Critical Behavior in Systems with Absorbing States
• Directed percolation with an absorbing boundary
• Sticky grains do not change the universality class of isotropic sandpiles
• Low-density series expansions for directed percolation II: The square lattice with a wall

Cited by in corpus (14)

• Self-organization without conservation: true or just apparent scale-invariance?
• Fixed-Energy Sandpiles Belong Generically to Directed Percolation
• Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments
• 25 Years of Self-Organized Criticality: Numerical Detection Methods
• Confirming and extending the hypothesis of universality in sandpiles
• Abelian Manna model on various lattices in one and two dimensions
• Quasi-Neutral theory of epidemic outbreaks
• Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices
• Steady state of Stochastic Sandpile Models
• Phase transition in an exactly solvable reaction-diffusion process
• Connecting the Micro-dynamics to the Emergent Macro-variables: Self-Organized Criticality and Absorbing Phase Transitions in the Deterministic Lattice Gas
• Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model
• Self-organised criticality in stochastic sandpiles: Connection to directed percolation
• Absorbing boundaries in the conserved Manna model