scholarly journals Zeros of the Potts model partition function on Sierpinski graphs

2013 ◽  
Vol 377 (9) ◽  
pp. 671-675 ◽  
Author(s):  
Shu-Chiuan Chang ◽  
Robert Shrock
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Sierpiński Graphs

scholarly journals Zeroes of the triangular Potts model partition function: a conjectured distribution

1994 ◽  
Vol 206 (3-4) ◽  
pp. 441-453 ◽  
Author(s):  
J.C. Anglès d'Auriac ◽  
J.M. Maillard ◽  
G. Rollet ◽  
F.Y. Wu
Keyword(s):  
Partition Function ◽  
Potts Model

scholarly journals PARTITION FUNCTION ZEROS OF A RESTRICTED POTTS MODEL ON SELF-DUAL STRIPS OF THE SQUARE LATTICE

2007 ◽  
Vol 21 (10) ◽  
pp. 1755-1773 ◽  
Author(s):  
SHU-CHIUAN CHANG ◽  
ROBERT SHROCK
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Square Lattice ◽  
Partition Function Zeros ◽  
Large Width ◽  
Function Zeros ◽  
Continuous Accumulation

We calculate the partition function Z(G, Q, v) of the Q-state Potts model exactly for self-dual cyclic square-lattice strips of various widths Ly and arbitrarily large lengths Lx, with Q and v restricted to satisfy the relation Q=v2. From these calculations, in the limit Lx→∞, we determine the continuous accumulation locus [Formula: see text] of the partition function zeros in the v and Q planes. A number of interesting features of this locus are discussed and a conjecture is given for properties applicable to arbitrarily large width. Relations with the loci [Formula: see text] for general Q and v are analyzed.

scholarly journals Partition function zeros of the Q-state Potts model for non-integer Q

2000 ◽  
Vol 281 (1-4) ◽  
pp. 262-267 ◽  
Author(s):  
Seung-Yeon Kim ◽  
Richard J Creswick ◽  
Chi-Ning Chen ◽  
Chin-Kun Hu
Keyword(s):  
Partition Function ◽  
Potts Model ◽  
Partition Function Zeros ◽  
Function Zeros
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