Infinite-randomness critical point in the two-dimensional disordered contact process

Abstract

We study the nonequilibrium phase transition in the two-dimensional contact process on a randomly diluted lattice by means of large-scale Monte-Carlo simulations for times up to $10^{10}$ and system sizes up to $8000\times 8000$ sites. Our data provide strong evidence for the transition being controlled by an exotic infinite-randomness critical point with activated (exponential) dynamical scaling. We calculate the critical exponents of the transition and find them to be universal, i.e., independent of disorder strength. The Griffiths region between the clean and the dirty critical points exhibits power-law dynamical scaling with continuously varying exponents. We discuss the generality of our findings and relate them to a broader theory of rare region effects at phase transitions with quenched disorder. Our results are of importance beyond absorbing state transitions because according to a strong-disorder renormalization group analysis, our transition belongs to the universality class of the two-dimensional random transverse-field Ising model.

13 pages, 12 eps figures, final version as published

References in corpus (27)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Universality classes in nonequilibrium lattice systems
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
• Strong disorder RG approach of random systems
• Universal scaling behavior of non-equilibrium phase transitions
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Directed percolation criticality in turbulent liquid crystals
• Infinite-randomness quantum Ising critical fixed points
• Strong disorder fixed point in absorbing state phase transitions
• Critical Dynamics of the Contact Process with Quenched Disorder
• Disorder-induced rounding of certain quantum phase transitions
• Absorbing state phase transitions with quenched disorder
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Critical behavior and Griffiths effects in the disordered contact process
• On possible experimental realizations of directed percolation
• Study of the disordered one-dimensional contact process
• Violation of Scaling in the Contact Process with Quenched Disorder
• Critical exponents of directed percolation measured in spatiotemporal intermittency
• Reweighting in nonequilibrium simulations
• Nonequilibrium phase transition on a randomly diluted lattice
• Contact process on a Voronoi triangulation
• Weakly disordered absorbing-state phase transitions
• Broadening of a nonequilibrium phase transition by extended structural defects
• Monte-Carlo simulations of the smeared phase transition in a contact process with extended defects
• Multicritical behavior of the diluted contact process
• The contact process in heterogeneous and weakly-disordered systems

Cited by in corpus (83)

• Quantum entanglement in condensed matter systems
• Highly crystalline 2D superconductors
• Ising Superconductivity and Quantum Phase Transition in Macro-Size Monolayer NbSe2
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Experimental realization of directed percolation criticality in turbulent liquid crystals
• Renormalization group study of the two-dimensional random transverse-field Ising model
• Disorder in quantum many-body systems
• On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
• Strong Disorder RG approach - a short review of recent developments
• Infinite disorder scaling of random quantum magnets in three and higher dimensions
• Criticality and quenched disorder: rare regions vs. Harris criterion
• Observation of Quantum Griffiths Singularity and Ferromagnetism at Superconducting LaAlO3/SrTiO3(110) Interface
• Renormalization group study of random quantum magnets
• Quenched disorder forbids discontinuous transitions in nonequilibrium low-dimensional systems
• Multiple phase transitions of the susceptible-infected-susceptible epidemic model on complex networks
• Critical behavior and entanglement of the random transverse-field Ising model between one and two dimensions
• Random transverse-field Ising chain with long-range interactions
• Rare region effects in the contact process on networks
• Does the brain behave like a (complex) network? I. Dynamics
• Phase Transitions on Random Lattices: How Random is Topological Disorder?
• The observation of in-plane quantum Griffiths singularity in two-dimensional crystalline superconductors
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Griffiths effects of the susceptible-infected-susceptible epidemic model on random power-law networks
• Monte-Carlo simulations of the clean and disordered contact process in three dimensions
• Infinite-randomness fixed point of the quantum superconductor-metal transitions in amorphous thin films
• Anomalous quantum Griffiths singularity in ultrathin crystalline lead films
• Infinite-noise criticality: Nonequilibrium phase transitions in fluctuating environments
• Superconductor-metal quantum transition at the EuO-KTaO3 interface
• Using random testing to manage a safe exit from the COVID-19 lockdown
• A violation of the Harris-Barghathi-Vojta criterion
• Contact process on generalized Fibonacci chains: infinite-modulation criticality and double-log periodic oscillations
• Contact process with temporal disorder
• Spatio-temporal generalization of the Harris criterion and its application to diffusive disorder
• Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices
• Localization transition, Lifschitz tails and rare-region effects in network models
• Random elastic networks : strong disorder renormalization approach
• Enhanced rare region effects in the contact process with long-range correlated disorder
• Rounding of abrupt phase transitions in brain networks
• Dynamic Phase Transition in the Contact Process with Spatial Disorder: Griffths Phase and Complex Persistence Exponents
• Absorbing-state phase transitions on percolating lattices
• Extinction transitions in correlated external noise
• Rare regions and Griffiths singularities at a clean critical point: The five-dimensional disordered contact process
• Temporal disorder in discontinuous non-equilibrium phase transitions: general results
• Quantum phase transition in two-dimensional NbN superconducting thin films
• Extinction phase transitions in a model of ecological and evolutionary dynamics
• Two-dimensional Ising model on random lattices with constant coordination number
• Infinite randomness critical behavior of the contact process on networks with long-range connections
• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Emergence of disconnected clusters in heterogeneous complex systems
• Generalized contact process with two symmetric absorbing states in two dimensions
• Critical properties of the contact process with quenched dilution
• Random field disorder at an absorbing state transition in one and two dimensions
• Asynchronous SIR model on Two-Dimensional Quasiperiodic Lattices
• Disordered contact process with asymmetric spreading
• The advantage of being slow: the quasi-neutral contact process
• Criticality and Griffiths phases in random games with quenched disorder
• Influence of distinct kinds of temporal disorder in discontinuous phase transitions
• The activated scaling behavior of quantum Griffiths singularity in two-dimensional superconductors
• Altruism in populations at the extinction transition
• Critical properties of the Susceptible-Exposed-Infected model with correlated temporal disorder
• Distribution of dynamical quantities in the contact process, random walks, and quantum spin chains in random environments
• Three-dimensional quantum Griffiths singularity in bulk iron-pnictide superconductors
• Continuum Percolation and Stochastic Epidemic Models on Poisson and Ginibre Point Processes
• Quasi-stationary simulations of the directed percolation universality class in d = 3 dimensions
• Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations
• Finite-size scaling analysis of the two-dimensional random transverse-field Ising ferromagnet
• Scaling of local persistence in the disordered contact process
• Universality of continuous phase transitions on random Voronoi graphs
• Population boundary across an environmental gradient: Effects of quenched disorder
• Effects of diffusion in competitive contact processes on bipartite lattices
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Quenched disorder in the contact process on bipartite sublattices
• Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force
• Boundary critical phenomena of the random transverse Ising model in D>=2 dimensions
• Novel Emergent Phases in a Two-Dimensional Superconductor
• Contact process with simultaneous spatial and temporal disorder
• Contact Process on Weighted Planar Stochastic Lattice
• The effect of asymmetric disorder on the diffusion in arbitrary networks
• Renormalization theory of disordered contact processes with heavy-tailed dispersal
• Quantum Griffiths singularity in three-dimensional MoTiN superconducting films
• Smoothly vanishing density in the contact process by an interplay of disorder and long-distance dispersal
• Nonuniversal critical dynamics on planar random lattices with heterogeneous degree distributions
• Relevance of topological disorder on the directed percolation phase transition