Bethe-lattice calculations for the phase diagram of a two-state Janus gas

Autor:	Liarte, Danilo B., Salinas, Silvio R.
Rok vydání:	2014
Předmět:	Condensed Matter - Soft Condensed Matter Condensed Matter - Statistical Mechanics
Zdroj:	J. Stat. Mech. (2015) P02020
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/2015/02/P02020
Popis:	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. Comment: 11 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.8396 Zobrazit plný text záznamu View this record from Arxiv