Yang-Lee zeros of the Q-state Potts model on recursive lattices
Ghulghazaryan, R. G.
Ananikian, N. S.
Sloot, Peter M. A.
Date of Issue2002
School of Computer Engineering
The Yang-Lee zeros of the Q-state Potts model on recursive lattices are studied for noninteger values of Q. Considering one-dimensional (1D) lattice as a Bethe lattice with coordination number equal to 2, the location of Yang-Lee zeros of 1D ferromagnetic and antiferromagnetic Potts models is completely analyzed in terms of neutral periodical points. Three different regimes for Yang-Lee zeros are found for Q>1 and 0<Q<1. An exact analytical formula for the equation of phase transition points is derived for the 1D case. It is shown that Yang-Lee zeros of the Q-state Potts model on a Bethe lattice are located on arcs of circles with the radius depending on Q and temperature for Q>1. Complex magnetic field metastability regions are studied for the Q>1 and 0<Q<1 cases. The Yang-Lee edge singularity exponents are calculated for both 1D and Bethe lattice Potts models. The dynamics of metastability regions for different values of Q is studied numerically.
DRNTU::Engineering::Computer science and engineering
Physical review E
© 2002 The American Physical Society. This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of The American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevE.66.046110]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.