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Elastic energy and phase structure in a continuous spin Ising chain with applications to chiral homopolymers

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Abstract
We present a numerical Monte Carlo analysis of the phase structure in a continuous spin Ising chain that describes chiral homopolymers. We find that depending on the value of the Metropolis temperature, the model displays the three known nontrivial phases of polymers: At low temperatures the model is in a collapsed phase, at medium temperatures it is in a random walk phase, and at high temperatures it enters the self-avoiding random walk phase. By investigating the temperature dependence of the specific energy we confirm that the transition between the collapsed phase and the random walk phase is a phase transition, while the random walk phase and self-avoiding random walk phase are separated from each other by a crossover transition. We propose that the model can be applied to characterize the statistical properties of protein folding. For this we compare the predictions of the model to a phenomenological elastic energy formula, proposed by J. Lei and K. Huang [e-print arXiv:1002.5013; Europhys. Lett. 88, 68004 (2009)] to describe folded proteins.
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MODEL, CRITICAL EXPONENTS

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Chicago
Chernodub, Maxim, Martin Lundgren, and Antti J Niemi. 2011. “Elastic Energy and Phase Structure in a Continuous Spin Ising Chain with Applications to Chiral Homopolymers.” Physical Review E 83 (1).
APA
Chernodub, M., Lundgren, M., & Niemi, A. J. (2011). Elastic energy and phase structure in a continuous spin Ising chain with applications to chiral homopolymers. PHYSICAL REVIEW E, 83(1).
Vancouver
1.
Chernodub M, Lundgren M, Niemi AJ. Elastic energy and phase structure in a continuous spin Ising chain with applications to chiral homopolymers. PHYSICAL REVIEW E. 2011;83(1).
MLA
Chernodub, Maxim, Martin Lundgren, and Antti J Niemi. “Elastic Energy and Phase Structure in a Continuous Spin Ising Chain with Applications to Chiral Homopolymers.” PHYSICAL REVIEW E 83.1 (2011): n. pag. Print.
@article{2119099,
  abstract     = {We present a numerical Monte Carlo analysis of the phase structure in a continuous spin Ising chain that describes chiral homopolymers. We find that depending on the value of the Metropolis temperature, the model displays the three known nontrivial phases of polymers: At low temperatures the model is in a collapsed phase, at medium temperatures it is in a random walk phase, and at high temperatures it enters the self-avoiding random walk phase. By investigating the temperature dependence of the specific energy we confirm that the transition between the collapsed phase and the random walk phase is a phase transition, while the random walk phase and self-avoiding random walk phase are separated from each other by a crossover transition. We propose that the model can be applied to characterize the statistical properties of protein folding. For this we compare the predictions of the model to a phenomenological elastic energy formula, proposed by J. Lei and K. Huang [e-print arXiv:1002.5013; Europhys. Lett. 88, 68004 (2009)] to describe folded proteins.},
  articleno    = {011126},
  author       = {Chernodub, Maxim and Lundgren, Martin and Niemi, Antti J},
  issn         = {1539-3755},
  journal      = {PHYSICAL REVIEW E},
  keyword      = {MODEL,CRITICAL EXPONENTS},
  language     = {eng},
  number       = {1},
  pages        = {11},
  title        = {Elastic energy and phase structure in a continuous spin Ising chain with applications to chiral homopolymers},
  url          = {http://dx.doi.org/10.1103/PhysRevE.83.011126},
  volume       = {83},
  year         = {2011},
}

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