Annihilation-diffusion processes: an exactly solvable model

Abstract

A family of diffusion-annihilation processes is introduced, which is exactly solvable. This family contains parameters that control the diffusion- and annihilation- rates. The solution is based on the Bethe ansatz and using special boundary conditions to represent the reaction. The processes are investigated, both on the lattice and on the continuum. Special cases of this family of processes are the simple exclusion process and the drop-push model.

11 pages, LaTeX

References in corpus (1)

• A two--parametric family of asymmetric exclusion processes and its exact solution

Cited by in corpus (9)

• Exclusion Processes and boundary conditions
• Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries
• Models solvable through the empty-interval method
• Exactly solvable models through the generalized empty interval method: multi-species and more-than-two-site interactions
• Static- and dynamical-phase transition in multidimensional voting models on continua
• Solvable multi-species reaction-diffusion processes, including the extended drop-push model
• Perturbative calculation of one-point functions of one-dimensional single-species reaction-diffusion systems
• Solvable multi-species reaction-diffusion processes, with particle-dependent hopping rates
• Phase transition in annihilation-limited processes