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Freezing and collapse of flexible polymers on regular lattices in three dimensions

Thomas Vogel1,*, Michael Bachmann1,2,†, and Wolfhard Janke1,‡

  • 1Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany and Centre for Theoretical Sciences (NTZ), Emil-Fuchs-Straße 1, D-04105 Leipzig, Germany
  • 2Computational Biology and Biological Physics Group, Department of Theoretical Physics, Lund University, Sölvegatan 14A, SE-223 62 Lund, Sweden

  • *thomas.vogel@itp.uni-leipzig.de
  • michael.bachmann@itp.uni-leipzig.de
  • wolfhard.janke@itp.uni-leipzig.de; http://www.physik.uni-leipzig.de/CQT.html

Phys. Rev. E 76, 061803 – Published 20 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.061803

Abstract

We analyze the crystallization and collapse transition of a simple model for flexible polymer chains on simple-cubic and face-centered-cubic lattices by means of sophisticated chain-growth methods. In contrast to the bond-fluctuation polymer model in certain parameter ranges, where these two conformational transitions were found to merge in the thermodynamic limit, we conclude from our results that the two transitions remain well separated in the limit of infinite chain lengths. The reason for this qualitatively distinct behavior is presumably due to the ultrashort attractive interaction range in the lattice models considered here.

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