EQUIVALENCES BETWEEN STOCHASTIC SYSTEMS

Abstract

Time-dependent correlation functions of (unstable) particles undergoing biased or unbiased diffusion, coagulation and annihilation are calculated. This is achieved by similarity transformations between different stochastic models and between stochastic and soluble {\em non-stochastic} models. The results agree with experiments on one-dimensional annihilation-coagulation processes.

15 pages, Latex. Some corrections made and an appendix added

References in corpus (5)

• Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
• Reaction-Diffusion Processes of Hard-Core Particles
• Diffusion-Annihilation in the Presence of a Driving Field
• Spectra of Quantum Chains without the Yang-Baxter Equation
• Reaction-Diffusion Processes Described by Three-State Quantum Chains and Integrability

Cited by in corpus (49)

• Reaction-Diffusion Processes from Equivalent Integrable Quantum Chains
• Complete Exact Solution of Diffusion-Limited Coalescence, A + A -> A
• Reaction-limited quantum reaction-diffusion dynamics
• Universal finite-size scaling amplitudes in anisotropic scaling
• On the universality of the fluctuation-dissipation ratio in non-equilibrium critical dynamics
• The duality relation between Glauber dynamics and the diffusion-annihilation model as a similarity transformation
• Binary spreading process with parity conservation
• Non-equilibrium dynamics of spin facilitated glass models
• Multispecies reaction-diffusion systems
• Phase transition in an asymmetric generalization of the zero-temperature Glauber model
• A Method of Intervals for the Study of Diffusion-Limited Annihilation, A + A --> 0
• Similarity transformation in one-dimensional reaction-diffusion systems; voting model as an example
• Correlation Functions for Diffusion-Limited Annihilation, A + A -> 0
• Diffusion-annihilation dynamics in one spatial dimension
• Aging in One-Dimensional Coagulation-Diffusion Processes and the Fredrickson-Andersen Model
• Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries
• Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions
• A reverse duality for the ASEP with open boundaries
• Models solvable through the empty-interval method
• Exactly solvable models through the empty interval method
• Exact solution of a class of one-dimensional nonequilibrium stochastic models
• On the Relation between One-Species Diffusion-Limited Coalescence and Annihilation in One Dimension
• Exactly solvable models through the empty interval method, for more-than-two-site interactions
• Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries
• Exact correlations in the one-dimensional coagulation-diffusion process by the empty-interval method
• Annihilating random walks in one-dimensional disordered media
• Diffusion-Limited Coalescence and Annihilation in Random Media
• Diffusion-Limited Coalescence, A+A<-->A, with a Trap
• Inhomogeneous Steady States of Diffusion-Limited Coalescence, A+A<-->A
• Phase transition in an asymmetric generalization of the zero-temperature q-state Potts model
• Exactly solvable reaction diffusion models on a Cayley tree
• Diffusion in disordered lattices and related Heisenberg ferromagnets
• Quantum reaction-limited reaction-diffusion dynamics of noninteracting Bose gases
• Finite-Size Scaling and Universality in the Spin 1 Quantum XY Chain
• General Reaction-Diffusion Processes With Separable Equations for Correlation Functions
• Generalized von Smoluchowski model of reaction rates, with reacting particles and a mobile trap
• Irreversible Reactions and Diffusive Escape: Stationary Properties
• One-dimensional annihilating random walk with long-range interaction
• Static- and dynamical-phase transition in multidimensional voting models on continua
• Coarsening dynamics of adsorption processes with diffusional relaxation
• Reaction-diffusion dynamics in a Fibonacci chain: Interplay between classical and quantum behavior
• Reaction-diffusion on the fully-connected lattice: $A+A\to A$
• Scaling approach to related disordered stochastic and free-fermion models
• Perturbative calculation of one-point functions of one-dimensional single-species reaction-diffusion systems
• Autonomous models solvable through the full interval method
• The spectrum and the phase transition of models solvable through the full interval method
• Integrable Stochastic Ladder Models
• Phase transition in annihilation-limited processes
• Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence