Universality class of absorbing phase transitions with a conserved field

We investigate the critical behavior of systems exhibiting a continuous absorbing phase transition in the presence of a conserved field coupled to the order parameter. The results obtained point out the existence of a new universality class of nonequilibrium phase transitions that characterizes a vast set of systems including conserved threshold transfer processes and stochastic sandpile models.

• Publication year

  2000

• Venue

  Physical Review Letters

• Publication date

  2000-04-14

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.85.1803arXiv cond-mat/0004242PMID 10970618
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Nonequilibrium Phase Transitions in Lattice Models

  1999cited by this paper
• Moment analysis of the probability distribution of different sandpile models

  1999cited by this paper
• Avalanche and spreading exponents in systems with absorbing states.

  1998cited by this paper
• Tracer Dispersion in a Self-Organized Critical System.

  1996cited by this paper
• Theory of Branching and Annihilating Random Walks.

  1996cited by this paper
• Nonequilibrium phase transitions in systems with infinitely many absorbing states.

  1993cited by this paper
• Critical behavior of the pair contact process.

  1993cited by this paper
• Self-organized criticality

  1991cited by this paper
• Lattice gas as a model of 1/f noise.

  1990cited by this paper
• Self-organized criticality: An explanation of the 1/f noise.

  1987cited by this paper

• Vortex behavior in light-driven active particle systems

  2026cites this paper
• Anomalous Criticality of Absorbing State Transition toward Jamming

  2025cites this paper
• Generic power laws in higher-dimensional lattice models with multidirectional hopping.

  2025cites this paper
• Mixed order phase transition in a locally constrained exclusion process

  2025cites this paper
• Liquid-Gas Criticality of Hyperuniform Fluids

  2025cites this paper
• Scaling Relations For The CLG's Critical Exponents

  2025influential citation
• Random organization criticality with long-range hydrodynamic interactions

  2025cites this paper
• Long-range correlations in a locally constrained exclusion process

  2025cites this paper
• Moderate deviations for the facilitated exclusion process in equilibrium

  2025cites this paper
• Cutoff for the mixing time of the Facilitated Exclusion Process

  2024cites this paper
• Non-equilibrium dynamic hyperuniform states

  2024cites this paper
• Hyperuniformity in Ashkin–Teller model

  2024cites this paper
• Approach to hyperuniformity of steady states of facilitated exclusion processes

  2024cites this paper
• Approach to Hyperuniformity in the One-Dimensional Facilitated Exclusion Process

  2024cites this paper
• Interplay between an Absorbing Phase Transition and Synchronization in a Driven Granular System.

  2024cites this paper
• Cutoff for the transience and mixing time of a SSEP with traps and consequences on the FEP

  2024cites this paper
• Mixing Times for the Facilitated Exclusion Process

  2024cites this paper
• Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas.

  2024cites this paper
• Approach to Hyperuniformity of Steady States of Facilitated Exchange Processes

  2024cites this paper
• Yielding Is an Absorbing Phase Transition with Vanishing Critical Fluctuations.

  2024cites this paper
• Quantifying spatiotemporal patterns in classical and quantum systems out of equilibrium.

  2023cites this paper
• Stationary fluctuations for the facilitated exclusion process

  2023cites this paper
• Quest for the golden ratio universality class.

  2023cites this paper
• Random organization and non-equilibrium hyperuniform fluids on a sphere.

  2023cites this paper
• Weakly asymmetric facilitated exclusion process

  2023cites this paper
• Continuum contact process and influence of impurity on the critical behavior in absorbing-state phase transitions in two dimensions.

  2023cites this paper
• Stationary states of the one-dimensional discrete-time facilitated symmetric exclusion process

  2022cites this paper
• Alternative method for measuring characteristic lengths in absorbing phase transitions.

  2022cites this paper
• Contact process with quenched impurity in four dimensions

  2022cites this paper
• Crackling Noise

  2022cites this paper
• A pr 2 01 3 Contact processes in crowded environments

  2021influential citation
• Hidden Order Beyond Hyperuniformity in Critical Absorbing States.

  2021cites this paper
• Transfer learning of phase transitions in percolation and directed percolation

  2021cites this paper
• Activity waves and freestanding vortices in populations of subcritical Quincke rollers

  2021cites this paper
• Time-Dependent Properties of Sandpiles

  2021cites this paper
• Absorbing phase transitions in systems with mediated interactions.

  2021cites this paper
• The Discrete-Time Facilitated Totally Asymmetric Simple Exclusion Process

  2020cites this paper
• Stationary states of the one-dimensional facilitated asymmetric exclusion process

  2020cites this paper
• Barrier-controlled nonequilibrium criticality in reactive particle systems.

  2020influential citation
• Criticality of Exothermic Chemical Reactions: the Role of Reaction Barrier

  2020cites this paper
• Absorbing-State Transitions in Granular Materials Close to Jamming.

  2020cites this paper
• Feedback Mechanisms for Self-Organization to the Edge of a Phase Transition

  2020cites this paper
• Stefan problem for a nonergodic facilitated exclusion process

  2019cites this paper
• Nonlinear diffusion and hyperuniformity from Poisson representation in systems with interaction mediated dynamics

  2019cites this paper
• Activity Report 2018 Team MEPHYSTO-POST Quantitative methods for stochastic models in physics

  2019cites this paper
• Absorbing phase transitions in a non-conserving sandpile model

  2019cites this paper
• Random-Organizing Hyperuniform Fluids with Momentum-Conserved Activations

  2019cites this paper
• Geometry-induced nonequilibrium phase transition in sandpiles.

  2019cites this paper
• The invariant measures and the limiting behaviors of the facilitated TASEP

  2019cites this paper
• Abelian oil and water dynamics does not have an absorbing-state phase transition

  2019cites this paper
• Effect of Thermal Noise on Conserved Lattice Gas

  2019cites this paper
• Hydrodynamics of random-organizing hyperuniform fluids

  2019cites this paper
• Exact Solution of the F-TASEP

  2019cites this paper
• Exact solution of the facilitated totally asymmetric simple exclusion process

  2019cites this paper
• Critical density of the Abelian Manna model via a multitype branching process.

  2019cites this paper
• Symmetric conserved-mass aggregation model with a mass threshold

  2018cites this paper
• The Limiting Behavior of the FTASEP with Product Bernoulli Initial Distribution

  2018cites this paper
• Conserved Manna model on Barabasi–Albert scale-free network

  2018cites this paper
• Hydrodynamic limit for a facilitated exclusion process

  2018cites this paper
• Stochastic sandpile model on small-world networks: Scaling and crossover

  2017cites this paper
• A Unifying Theory of Branching Morphogenesis

  2017cites this paper
• Multichain models of conserved lattice gas.

  2017cites this paper
• Non-fixation for Conservative Stochastic Dynamics on the Line

  2017cites this paper
• Universality of continuous and discrete conserved Manna models in one dimension

  2017cites this paper
• Hydrodynamics, density fluctuations, and universality in conserved stochastic sandpiles.

  2017cites this paper
• Hyperuniformity of initial conditions and critical decay of a diffusive epidemic process belonging to the Manna class.

  2017cites this paper
• Directed percolation with a conserved field and the depinning transition.

  2016cites this paper
• Out-of-equilibrium stationary states, percolation, and subcritical instabilities in a fully nonconservative system.

  2016cites this paper
• Absence of absorbing phase transitions in a conserved lattice-gas model in one dimension.

  2016cites this paper
• Multicritical absorbing phase transition in a class of exactly solvable models.

  2016cites this paper
• Aspects of Markov Chains and Particle Systems

  2016cites this paper
• Hydrodynamic limit for a facilitated exclusion process

  2016cites this paper
• Logarithmic speed-up of relaxation in A-B annihilation with exclusion.

  2016cites this paper
• Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model.

  2016cites this paper
• Noise, Diffusion, and Hyperuniformity.

  2016cites this paper
• Critical behavior for random initial conditions in the one-dimensional fixed-energy Manna sandpile model.

  2016cites this paper
• Computational model of a vector-mediated epidemic

  2015cites this paper
• Critical behavior of a fixed-energy Manna sandpile model for regular initial conditions in one dimension.

  2015cites this paper
• Non-fixation for Conservative Stochastic Dynamics on the Line

  2015cites this paper
• Absorbing phase transition in a conserved lattice gas model with next-nearest-neighbor hopping in one dimension.

  2015cites this paper
• Physics of Complex Systems

  2015cites this paper
• Effects of random initial conditions on the dynamical scaling behaviors of a fixed-energy Manna sandpile model in one dimension.

  2015cites this paper
• 25 Years of Self-organized Criticality: Concepts and Controversies

  2015cites this paper
• Particle-density fluctuations and universality in the conserved stochastic sandpile.

  2015cites this paper
• Exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media.

  2014cites this paper
• Activity, diffusion, and correlations in a two-dimensional conserved stochastic sandpile

  2014cites this paper
• Initial-state dependence of the critical behavior in the conserved lattice gas model in one dimension

  2014cites this paper
• Universality class of the conserved Manna model in one dimension.

  2014cites this paper
• Critical behavior of absorbing phase transitions for models in the Manna class with natural initial states.

  2014cites this paper
• Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model.

  2014cites this paper
• Comment on "Dependence of asymptotic decay exponents on initial condition and the resulting scaling violation".

  2014cites this paper
• Hyperuniformity of critical absorbing states.

  2014cites this paper
• Vanishing order-parameter critical fluctuations of an absorbing-state transition driven by long-range interactions

  2013cites this paper
• Kolkata Paise Restaurant Problem: An Introduction

  2013cites this paper
• A Field Theory for Self-organised Criticality

  2013cites this paper
• Dependence of asymptotic decay exponents on initial condition and the resulting scaling violation.

  2013cites this paper
• A class of exactly solved assisted-hopping models of active-inactive state transition on a line

  2013cites this paper
• Connecting the random organization transition and jamming within a unifying model system.

  2013cites this paper
• Absorbing phase transitions in variants of lattice gas models with a conserved field

  2012cites this paper
• Dynamical scaling behavior of the one-dimensional conserved directed-percolation universality class.

  2012cites this paper