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Spontaneous dimensional reduction and ground state degeneracy in a simple chain model.

Tatjana Škrbić1, Trinh Xuan Hoang2, Achille Giacometti3

  • 1Department of Physics and Institute for Fundamental Science, University of Oregon, Eugene, Oregon 97403, USA and Dipartimento di Scienze Molecolari e Nanosistemi, Università Ca' Foscari di Venezia, Campus Scientifico, Edificio Alfa, via Torino 155, 30170 Venezia Mestre, Italy.

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Summary
This summary is machine-generated.

This study introduces a new homopolymer model with self-attraction, revealing a transition to an unusual compact phase. Ground states show dimensional reduction and unique structures, similar to protein folding.

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Area of Science:

  • Polymer physics
  • Computational chemistry
  • Biophysics

Background:

  • Chain molecules are fundamental in polymers and biological systems.
  • Understanding polymer behavior under attractive forces is crucial.

Purpose of the Study:

  • To analyze a new homopolymer model with attractive self-interaction.
  • To investigate the resulting compact phases and ground state structures.

Main Methods:

  • Analytical arguments.
  • Extensive computer simulations.

Main Results:

  • A first-order phase transition from a random coil to a compact phase.
  • Degenerate modular ground states with spontaneous dimensional reduction.
  • Ground states feature two-layer structures composed of helices, strands, and loops (PoSSuM).

Conclusions:

  • The model exhibits complex low-temperature behavior.
  • PoSSuM structures share similarities with protein native states, suggesting universal principles in molecular self-assembly.