Statics and dynamics of a diffusion-limited reaction: anomalous kinetics, nonequilibrium self-ordering, and a dynamic transition.

From MaRDI portal
Publication:1963708

DOI10.1007/BF01025990zbMath1086.82556MaRDI QIDQ1963708

Martin A. Burschka, Charles R. Doering, Daniel Ben-Avraham

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)




Related Items (32)

Tagged particle dynamics in one dimensional ${A+ A \to kA}$ models with the particles biased to diffuse towards their nearest neighbourEffect of an initial fractal distribution of particles in a coagulation and annihilation reaction-diffusion modelsInteracting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and dualityDensity distribution in two Ising systems with particle exchangeOn the departure process of the linear loss networkInteracting particle systems in time-dependent geometriesCrossover properties of a one-dimensional reaction-diffusion process with a transport currentIrreversible reactions and diffusive escape: stationary propertiesHeat conduction and the nonequilibrium stationary states of stochastic energy exchange processesSolutions of the generalized kinetic model of annihilation for a mixture of particles of two typesInteracting gaps model, dynamics of order book, and stock-market fluctuationsDiscrete to continuous-time crossover due to anisotropy in diffusion-limited two-particle annihilation reactionsNonequilibrium dynamics of a diffusion-limited reaction driven by a cluster-memory mechanismFinite-size scaling studies of one-dimensional reaction-diffusion systems. I: Analytical resultsNon-trivial exponents in coarsening phenomenaFrom the conserved Kuramoto-Sivashinsky equation to a coalescing particles modelThe Incorporation of Fractal Kinetics in the PK Modeling of Chemotherapeutic Drugs with Nonlinear Concentration-Time ProfilesUniversality classes in nonequilibrium lattice systemsTwo-spin-majority cellular automaton as a model of 2D cluster and interface growthNoise-induced clumping in the one-dimensional reversible diffusion-limited single-species coagulation processFirst passage time for a class of one-dimensional stochastic systemsSpectra of quantum chains without the Yang-Baxter equationExact exponent for the number of persistent spins in the zero-temperature dynamics of the one-dimensional Potts modelReaction-diffusion processes from equivalent integrable quantum chainsTotally asymmetric exclusion process with site-wise dynamic disorderFluctuations and correlations in a diffusion-reaction system: Exact hydrodynamicsCrossover between diffusion-limited and reaction-limited regimes in the coagulation–diffusion processKardar–Parisi–Zhang universality class for the critical dynamics of reaction–diffusion frontsExact solutions of anisotropic diffusion-limited reactions with coagulation and annihilation.A + A → ∅ reaction for particles with a dynamic bias to move away from their nearest neighbour in one dimensionDistribution of the coalescence times in a system of diffusion-aggregation of particle clusters in one dimensionHard-core particle exclusion effects in low-dimensional nonequilibrium phase transitions



Cites Work


This page was built for publication: Statics and dynamics of a diffusion-limited reaction: anomalous kinetics, nonequilibrium self-ordering, and a dynamic transition.