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Roughening and Melting in Two Dimensions

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Book cover Applications of the Monte Carlo Method in Statistical Physics

Part of the book series: Topics in Current Physics ((TCPHY,volume 36))

Abstract

In two-dimensional Systems with a continuous symmetry group long-wavelength fluctuations are dominant. Thus Kosterlitz and Thouless (KT) predicted a unique phase transition caused by topological defects. We review Monte Carlo (and also molecular dynamics) studies of two typical phase transitions which are assumed to belong to this category — the roughening transition of a crystal-vapor interface and the melting transition of a two-dimensional crystal. The former agrees with KT theory, whereas the latter does not in general. The cause of this different behavior becomes evident in the dual representation as Coulomb gas systems with scalar and vector charges.

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Authors
  1. Y. Saito
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  2. H. Müller-Krumbhaar
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Editors and Affiliations

  1. Institut für Festkörperforschung, Kernforschungsanlage Jülich, Postfach 1913, D-5170, Jülich 1, Fed. Rep. of Germany

    Kurt Binder

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Saito, Y., Müller-Krumbhaar, H. (1984). Roughening and Melting in Two Dimensions. In: Binder, K. (eds) Applications of the Monte Carlo Method in Statistical Physics. Topics in Current Physics, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96788-7_7

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