We present an extension of the previously proposed mean-field renormalization method to model Hamiltonians that 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 recently by Likes, Mecke, and Wagner [J. Chem. Phys. 102, 9350 (1995)].
Multi-interaction mean-field renormalization group
MARITAN, AMOS
1996
Abstract
We present an extension of the previously proposed mean-field renormalization method to model Hamiltonians that 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 recently by Likes, Mecke, and Wagner [J. Chem. Phys. 102, 9350 (1995)].Pubblicazioni consigliate
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