Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System |
| |
Authors: | D Ioffe Y Velenik M Zahradník |
| |
Institution: | 1. Faculty of Industrial Engineering, Technion Haifa, 32000, Israel 2. UMR-CNRS 6085, Université de Rouen, F-76821, Mont Saint Aignan, France 3. Faculty of Mathematics and Physics, Charles University, 18600, Praha 8, Czech Republic
|
| |
Abstract: | We study a system of rods onℤ2, with hard-core exclusion. Each rod has a length between 2 and N. We show that, when N is sufficiently large, and for suitable fugacity, there are several distinct Gibbs states, with orientational long-range
order. This is in sharp contrast with the case N = 2 (the monomer-dimer model), for which Heilmann and Lieb proved absence of phase transition at any fugacity. This is the
first example of a pure hard-core system with phases displaying orientational order, but not translational order; this is
a fundamental characteristic feature of liquid crystals. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|