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
                    
                        
                        - 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