Multi-interaction mean-field renormalization group

Details Multi-interaction mean-field renormalization group Multi-interaction mean-field renormalization group

1995-11-27

arxiv.org/abs/cond-mat/9511124v1

Physics

Condensed Matter

Tex file and three macros appended at the end. Five figures available upon request to: christos@iris.ts.infn.it, Fax: [+]39-40

Scientific paper

10.1103/PhysRevE.53.3303

We present an extension of the previously proposed mean-field renormalization method to model Hamiltonians which are characterized by more than just one type of interaction. The method rests on scaling assumptions about the magnetization of different sublattices of the given lattice and it generates as many flow equations as coupling constants without arbitrary truncations on the renormalized Hamiltonian. We obtain good results for the test case of Ising systems with an additional second-neighbor coupling in two and three dimensions. An application of the method is also done to a morphological model of interacting surfaces introduced recenlty by Likos, Mecke and Wagner [J. Chem. Phys. {\bf{102}}, 9350 (1995)]. PACS: 64.60.Ak, 64.60.Fr, 05.70.Jk

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