scholarly journals Zeros of Partition Function for the Husimi-Temperley Model

1967 ◽  
Vol 38 (5) ◽  
pp. 1182-1183 ◽  
Author(s):  
Ryuzo Abe
Keyword(s):  
Partition Function ◽  
Zeros Of Partition Function

scholarly journals The zeros distribution of Z_5-symmetric model on a triangular lattice

2020 ◽  
Vol 16 (3) ◽  
pp. 307-313
Author(s):  
Siti Fatimah Zakaria ◽  
Nor Sakinah Mohd Manshur
Keyword(s):  
Partition Function ◽  
Complex Plane ◽  
Triangular Lattice ◽  
Square Lattice ◽  
Symmetric Model ◽  
Nearest Neighbour ◽  
Multiple Line ◽  
Lattice Graph ◽  
Zeros Of Partition Function ◽  
Neighbour Interaction

We study the -symmetric model with the nearest neighbour interaction between molecular dipole of five spin directions i.e. Q=5 which called as the -symmetric model on a triangular lattice. We investigate the zeros of partition function and the relationship to the phase transition. Initially, the model is defined on a triangular lattice graph with the nearest neighbour interaction. The partition function is then computed using a transfer matrix approach. We analyse the system by computing the zeros of the polynomial partition function using the Newton-Raphson method and then plot the zeros in a complex plane. For this lattice, the result shows that for specific type of energy level there are multiple line curves approaching real axis in the complex plane. The equation of the specific heat is produced and then plotted for comparison. Motivated from the work by Martin (1991) on models on square lattice, we extend the previous study to different lattice type that is triangular lattice.

Zeros of Partition Function and Critical Exponents of the 3D Diluted Ising Model

2016 ◽  
Vol 845 ◽  
pp. 150-153
Author(s):  
Andrey N. Vakilov
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Partition Function ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Three Dimensional ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Zeros Of Partition Function

We used a Monte Carlo simulation of the structurally disordered three dimensional Ising model. For the systems with spin concentrations p = 0.95 ,0.8, 0.6 and 0.5 we calculated the correlation-length critical exponent ν by finite-size scaling. Extrapolations to the thermodynamic limit yield ν(0.95) = 0.705(5) ,ν(0.8) = 0.711(6),ν(0.6) = 0.736(6) and ν(0.5) = 0.744(6). These results are compatible with some previous estimates from a variety of sources. The analysis of the results demonstrates the nonuniversality of the critical behavior in the disordered Ising model.

CALCULATION OF ISOTOPIC REDUCED PARTITION FUNCTION RATIO FOR AQUA COMPLEXES OF MAGNESIUM CATION

2017 ◽  
pp. 138-145
Author(s):  
A.V. BOCHKAREV ◽  
◽  
S.L. BELOPUKHOV ◽  
A.V. ZHEVNEROV ◽  
S.V. DEMIN ◽  
...  
Keyword(s):  
Partition Function ◽  
Aqua Complexes ◽  
Magnesium Cation

A canonical ensemble derivation of the McMillan-Mayer solution theory

1983 ◽  
Vol 48 (10) ◽  
pp. 2888-2892 ◽  
Author(s):  
Vilém Kodýtek
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Energy Function ◽  
Special Function ◽  
Helmholtz Free Energy ◽  
Canonical Ensemble ◽  
Free Energy Function ◽  
Solution Theory ◽  
Pure Solvent ◽  
The Common

A special free energy function is defined for a solution in the osmotic equilibrium with pure solvent. The partition function of the solution is derived at the McMillan-Mayer level and it is related to this special function in the same manner as the common partition function of the system to its Helmholtz free energy.

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