Mode-coupling approach for spin-facilitated kinetic Ising models
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Author list: Einax M, Schulz M
Publisher: American Institute of Physics
Place: MELVILLE
Publication year: 2001
Journal: The Journal of Chemical Physics (0021-9606)
Journal acronym: J CHEM PHYS
Volume number: 115
Issue number: 5
Start page: 2282
End page: 2296
Number of pages: 15
ISSN: 0021-9606
eISSN: 1089-7690
Languages: English-Great Britain (EN-GB)
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Abstract
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. (C) 2001 American Institute of Physics.
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