2000/04/27 by Mario Einax, Michael Schulz · 1 citation
Chemistry · Computer Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum Computing Algorithms and Architecture #Theoretical and Computational Physics #cond-mat.mes-hall #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.1383053
Written in REVTex, 18 pages, 7 figures in Postscript
arxiv created 2000/04/27 · openalex publication_date 2001/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The d-dimensional 2-spin facilitated kinetic Ising model is studied analytically starting from usual master equations and their transformation into a Fock-space representation. The evolution of relevant operators is rewritten in terms of a projection formalism. The obtained frequency matrices and memory terms are analyzed. Especially, the structure of the memory terms is approached by using the well-known factorization approximation as the standard decomposition technique of N-point correlation functions. The temperature dependence of the relaxation times related to the 2-spin facilitated kinetic Ising model shows a non-Arrhenius behavior. Furthermore, a characteristic stretched decay of the correlation function is obtained.