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Название: Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System
Авторы: Ioffe D., Velenik Y., Zahradnik M.
Journal of Statistical Physics, Vol. 122, No. 4, February 2006. p. 761-786.
We study a system of rods on Z^2, 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.