Bethe-lattice calculations for the phase diagram of a two-state Janus gas. (25th February 2015)

• Record Type: Journal Article
• Authors: Liarte, Danilo B; Salinas, Silvio R
• Is Part Of: Journal of statistical mechanics. (2015:Feb.)
• Publication Date: 2015-02-25
• Subjects: 15; 15/040; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/02/P02020
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We use a simple lattice statistical model to analyze the effects of directional interactions on the phase diagram of a fluid of two-state Janus particles. The problem is formulated in terms of nonlinear recursion relations along the branches of a Cayley tree. Directional interactions are taken into account by the geometry of this graph. Physical solutions on the Bethe lattice (the deep interior of a Cayley tree) come from the analysis of the attractors of the recursion relations. We investigate a number of situations, depending on the concentrations of the types of Janus particles and the parameters of the potential, and make contact with results from recent numerical simulations.