Models solvable through the empty-interval method

Abstract

The most general one dimensional reaction-diffusion model with nearest-neighbor interactions solvable through the empty interval method, and without any restriction on the particle-generation from two adjacent empty sites is studied. It is shown that turning on the reactions which generate particles from two adjacent empty sites, results in a gap in the spectrum of the evolution operator (or equivalently a finite relaxation time).

8 pages

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Cited by in corpus (9)

• Statistical mechanics of the coagulation-diffusion process with a stochastic reset
• Exact two-time correlation and response functions in the one-dimensional coagulation-diffusion process by the empty-interval-particle method
• Exact correlations in the one-dimensional coagulation-diffusion process by the empty-interval method
• Exactly solvable reaction diffusion models on a Cayley tree
• Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
• Exact correlation functions in particle-reaction models with immobile particles
• Autonomous models solvable through the full interval method
• The spectrum and the phase transition of models solvable through the full interval method
• Phase transition in annihilation-limited processes