caa a22 4500 467892628 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s10955-005-8085-8 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8085-8 Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System [Elektronische Daten] [D. Ioffe, Y. Velenik, M. Zahradník] 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. Springer Science + Business Media, Inc., 2006 Hard rods nationallicence monomer-dimer model nationallicence nematic order nationallicence liquid crystal nationallicence convergence rate for renewal sequences nationallicence Ioffe D. Faculty of Industrial Engineering, 32000, Technion Haifa, Israel aut Velenik Y. UMR-CNRS 6085, Université de Rouen, F-76821, Mont Saint Aignan, France aut Zahradník M. Faculty of Mathematics and Physics, Charles University, 18600, Praha 8, Czech Republic aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 761-786 0022-4715 122:4<761 2006 122 10955 https://doi.org/10.1007/s10955-005-8085-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8085-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ioffe D. Faculty of Industrial Engineering, 32000, Technion Haifa, Israel aut NATIONALLICENCE 700 1- Velenik Y. UMR-CNRS 6085, Université de Rouen, F-76821, Mont Saint Aignan, France aut NATIONALLICENCE 700 1- Zahradník M. Faculty of Mathematics and Physics, Charles University, 18600, Praha 8, Czech Republic aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 761-786 0022-4715 122:4<761 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer