Generalization of exactly-solvable model to exhibit solid-fluid phase transition in crystal structures with two particles in a primitive cell. (6th December 2017)

• Record Type: Journal Article
• Authors: Komatsu, Hisato
• Is Part Of: Journal of statistical mechanics. (2017:Dec.)
• Publication Date: 2017-12-06
• Subjects: 3 -- 11; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa9a57
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: In our previous paper (Komatsu 2015 J. Stat. Mech . P08020), we investigated an interacting-particle model with infinite-range cosine potentials, and derived the partition function which shows solid-fluid phase transition by exact calculation. However, we could treat only simple lattice structures in which more than one stable point exists in a primitive cell such as the triangular or face-centered cubic lattice. In the present paper, we generalize our previous scheme to more complicated lattice structures with two particles in a primitive cell. Generalization to more complicated lattice structures is straightforward.