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Bundles of Interacting Strings in Two Dimensions

C. Hiergeist·M. Lassig·R. Lipowsky
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Abstract

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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C. Hiergeist, M. Lassig, R. Lipowsky. 1994-06-17. Bundles of Interacting Strings in Two Dimensions. https://doi.org/10.1209/0295-5075%2F28%2F2%2F005

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