Scientific article
Open access

Entropy-driven phase transition in a polydisperse hard-Rods Lattice System

Published inJournal of statistical physics, vol. 122, no. 4, p. 761-786
Publication date2006

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.

Affiliation Not a UNIGE publication
Citation (ISO format)
IOFFE, D., VELENIK, Yvan, ZAHRADNÍK, M. Entropy-driven phase transition in a polydisperse hard-Rods Lattice System. In: Journal of statistical physics, 2006, vol. 122, n° 4, p. 761–786. doi: 10.1007/s10955-005-8085-8
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Article (Accepted version)
ISSN of the journal0022-4715

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