Elastic energy and phase structure in a continuous spin Ising chain with applications to chiral homopolymers
- Author
- Maxim Chernodub (UGent) , Martin Lundgren and Antti J Niemi
- Organization
- 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.
- Keywords
- MODEL, CRITICAL EXPONENTS
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-2119099
- MLA
- Chernodub, Maxim, et al. “Elastic Energy and Phase Structure in a Continuous Spin Ising Chain with Applications to Chiral Homopolymers.” PHYSICAL REVIEW E, vol. 83, no. 1, 2011, doi:10.1103/PhysRevE.83.011126.
- 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). https://doi.org/10.1103/PhysRevE.83.011126
- Chicago author-date
- 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). https://doi.org/10.1103/PhysRevE.83.011126.
- Chicago author-date (all authors)
- 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). doi:10.1103/PhysRevE.83.011126.
- 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).
- IEEE
- [1]M. Chernodub, M. Lundgren, and A. J. Niemi, “Elastic energy and phase structure in a continuous spin Ising chain with applications to chiral homopolymers,” PHYSICAL REVIEW E, vol. 83, no. 1, 2011.
@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}},
keywords = {{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://doi.org/10.1103/PhysRevE.83.011126}},
volume = {{83}},
year = {{2011}},
}
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