3D Ising System in an External Field. Recurrence Relations for the Asymmetric $\rho^6$ Model
Statistical Mechanics
2007-05-23 v1 Soft Condensed Matter
Abstract
The 3D one-component spin system in an external magnetic field is studied using the collective variables method. The integration of the partition function of the system over the phase space layers is performed in the approximation of the sextic measure density including the even and the odd powers of the variable (the asymmetric model). The general recurrence relations between the coefficients of the effective measure densities are obtained. The new functions appearing in these recurrence relations are given in the form of a convergent series.
Cite
@article{arxiv.cond-mat/0108123,
title = {3D Ising System in an External Field. Recurrence Relations for the Asymmetric $\rho^6$ Model},
author = {I. V. Pylyuk and M. P. Kozlovskii},
journal= {arXiv preprint arXiv:cond-mat/0108123},
year = {2007}
}
Comments
LaTex, 12 pages, no figures