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Continuous melting of compact polymers.

Jesper Lykke Jacobsen1, Jané Kondev

  • 1LPTMS, Université Paris-Sud, Bâtiment 100, F-91405 Orsay, France.

Physical Review Letters
|July 13, 2004
PubMed
Summary

We studied the Flory model for compact polymers, finding a continuous melting transition. This research provides exact critical exponents for polymers on surfaces, like DNA on lipid bilayers.

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Area of Science:

  • Polymer physics
  • Statistical mechanics
  • Surface science

Background:

  • The Flory model describes the competition between chain entropy and bending rigidity in compact polymers.
  • It predicts a transition between disordered and crystalline phases, with the nature of this transition being a long-standing debate.

Purpose of the Study:

  • To present exact results for the 2D Flory model, relevant for polymers on surfaces.
  • To investigate the order-disorder transition in this system.

Main Methods:

  • Exact analysis of the Flory lattice model in two dimensions.
  • Computation of critical exponents at the transition point.

Main Results:

  • Prediction of a continuous melting transition for compact polymers on surfaces.
  • Exact calculation of critical exponents characterizing the transition.

Conclusions:

  • The 2D Flory model exhibits a continuous order-disorder transition.
  • These findings are crucial for understanding polymers on surfaces, such as DNA on lipid bilayers.

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