Bundles of Interacting Strings in Two Dimensions

Details Bundles of Interacting Strings in Two Dimensions Bundles of Interacting Strings in Two Dimensions

1994-06-17

arxiv.org/abs/cond-mat/9406078v1

Physics

Condensed Matter

8 pages (latex) with two figures

Scientific paper

10.1209/0295-5075/28/2/005

Bundles of strings which interact via short-ranged pair potentials are studied in two dimensions. The corresponding transfer matrix problem is solved analytically for arbitrary string number N by Bethe ansatz methods. Bundles consisting of N identical strings exhibit a unique unbinding transition. If the string bundle interacts with a hard wall, the bundle may unbind from the wall via a unique transition or a sequence of N successive transitions. In all cases, the critical exponents are independent of N and the density profile of the strings exhibits a scaling form that approaches a mean-field profile in the limit of large N.

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