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

作者：Lungu R P^*

来源：Optoelectronics and Advanced Materials-Rapid Communications, 2011, 5(11): 1223-1228.

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

The free energy and the specific heat of a planar arrays of atomic chains, with on-site quartic anharmonicities and inter-chain 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.

• 出版日期2011-11