2006/12/31 by Laleh Farhang Matin, Amir Aghamohammadi, Mohammad Khorrami · 9 citations
Mathematics · Physics and Astronomy · #Algorithm #Combinatorics #Complex Network Analysis Techniques #Diffusion #Hamiltonian (control theory) #Interval (graph theory) #Mathematical analysis #Mathematical optimization #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Reaction–diffusion system #Relaxation (psychology) #Spectrum (functional analysis) #State (computer science) #Stationary state #Statistical physics #Theoretical and Computational Physics #Tree (set theory) #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2007-00103-x
published in The European Physical Journal B 56(3), 243-246 (Springer Science+Business Media) · 9 pages, 2 figures
openalex publication_date 2007/04/01 · arxiv created 2007/05/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The most general reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced, which can be solved exactly through the empty-interval method. The stationary solutions of such models, as well as their dynamics, are discussed. Concerning the dynamics, the spectrum of the evolution Hamiltonian is found and shown to be discrete, hence there is a finite relaxation time in the evolution of the system towards its stationary state.