Exactly solvable models through the generalized empty interval method: multi-species and more-than-two-site interactions

Abstract

Multi-species reaction-diffusion systems, with more-than-two-site interaction on a one-dimensional lattice are considered. Necessary and sufficient constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation for $E_n^{\mathbf{a}}(t)$'s, the expectation value of the product of certain linear combination of the number operators on $n$ consecutive sites at time $t$.

10 pages, LaTeX

References in corpus (9)

• Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
• Reaction-Diffusion Processes from Equivalent Integrable Quantum Chains
• Complete Exact Solution of Diffusion-Limited Coalescence, A + A -> A
• A two--parametric family of asymmetric exclusion processes and its exact solution
• Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation
• Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension
• Annihilation-diffusion processes: an exactly solvable model
• Exactly solvable models through the generalized empty interval method, for multi-species interactions
• Solvable multi-species extensions of the drop-push model

Cited by in corpus (4)

• Models solvable through the empty-interval method
• Exactly solvable reaction diffusion models on a Cayley tree
• Autonomous models solvable through the full interval method
• The spectrum and the phase transition of models solvable through the full interval method