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The partition function zeros for a Potts model of helix-coil transition with three-site interactions

Author

Listed:
  • Ananikian, N.
  • Ananikyan, L.
  • Artuso, R.
  • Sargsyan, K.

Abstract

The partition function (Fisher) zeros of the Q-state Potts model with three-site interactions on a zigzag ladder are studied by a transfer-matrix approach. This Q-state model is proposed as a description of helix-coil transition in homopolymers. The Fisher zeros are exactly derived for arbitrary value of the system parameter Q. It is shown that there is only a quasi-phase transition for all temperatures. The dependence of the helix-coil transition on solvent is analyzed using Fisher zeros of the model. The densities of the Fisher zeros are singular at the edge singularity points and the critical exponent σ=−12.

Suggested Citation

  • Ananikian, N. & Ananikyan, L. & Artuso, R. & Sargsyan, K., 2008. "The partition function zeros for a Potts model of helix-coil transition with three-site interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5433-5439.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:22:p:5433-5439
    DOI: 10.1016/j.physa.2008.05.020
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