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Analytical approximations for the thermodynamics of a planar array of Ginzburg-Landau chains with near neighbor and next near neighbor interactions

R. P. LUNGU1,*

Affiliation

  1. Department of Physics, University of Bucharest, Magurele-Bucharest 050107, Romania IFIN-HH - National Institute of Physics and Nuclear Engineering POB MG-6, Bucharest, Romania

Abstract

The free energy and the specific heat of a planar arrays of atomic chains, with on-site quartic anharmonicities and interchain elastic near neighbor (nn) and next near meighbor (nnn) interaction, are obtained. A mean-field approximation for the on-site anharmonicities and the Hsue-Chern approach to the quartic oscillators are used. An Ising-type behavior of the specific heat is obtained, both for nn and nnn cases. The physical relevance of this result, and a careful analysis of other approaches used in literature, are also presented..

Keywords

Ginzburg-Landau systems, Low-dimensional models, Mean-field approximation, Ising model.

Citation

R. P. LUNGU, Analytical approximations for the thermodynamics of a planar array of Ginzburg-Landau chains with near neighbor and next near neighbor interactions, Optoelectronics and Advanced Materials - Rapid Communications, 5, 11, November 2011, pp.1223-1228 (2011).

Submitted at: Aug. 8, 2011

Accepted at: Nov. 23, 2011