Criticality of Lamellar Surfaces by Conformational Degrees of freedom

Details Criticality of Lamellar Surfaces by Conformational Degrees of freedom Criticality of Lamellar Surfaces by Conformational Degrees of freedom

1995-04-07

arxiv.org/abs/cond-mat/9504029v1

Physics

Condensed Matter

26 pages,plane tex, 5 figures not included, bassetti@mi.infn.it

Scientific paper

10.1051/jp1:1995189

A new model for lamellar surfaces formed by anisotropic molecules is proposed. The molecules have internal degrees of freedom, associated with their flexible section of length $N$ at zero temperature. We obtain a 2D non-standard six vertex model, which is exactly soluble and exhibits a finite order transition. The order and the character of the transition are determined by the dominant term in the $1 \over N$-expansion of the interaction energy. The dependence of the critical temperatures on $N$ is, instead, determined by the non-leading terms in the same expansion.

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