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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