scholarly journals High-temperature series expansions for theq-state Potts model on a hypercubic lattice and critical properties of percolation

2006 ◽  
Vol 74 (5) ◽  
Author(s):  
Meik Hellmund ◽  
Wolfhard Janke
Keyword(s):  
High Temperature ◽  
Potts Model ◽  
Temperature Series ◽  
Series Expansions ◽  
Critical Properties ◽  
Hypercubic Lattice

The spin XY model. IV. Analysis of high temperature series expansions of some thermodynamic quantities in four dimensions

1980 ◽  
Vol 58 (1) ◽  
pp. 87-93
Author(s):  
J. Rogiers
Keyword(s):  
High Temperature ◽  
Order Parameter ◽  
Temperature Series ◽  
Series Expansions ◽  
Xy Model ◽  
Logarithmic Correction ◽  
Thermodynamic Quantities ◽  
Four Dimensions ◽  
Hypercubic Lattice ◽  
The Face

The series for the fluctuation of the order parameter and the fourth-order fluctuation of the order parameter of the S = [Formula: see text] XY model on four-dimensional lattices are analysed. Assuming a simple power law we find γ = 1.125 ± 0.010 for the simple hypercubic and γ = 1.113 ± 0.005 for the face-centred hypercubic. An alternative method of analysis which includes a logarithmic correction factor and assumes γ = 1 gives as power for the logarithmic correction p = 0.36 ± 0.05 for the simple hypercubic lattice.

High-temperature critical properties of the Ising model on a triple of related lattices

1969 ◽  
Vol 47 (16) ◽  
pp. 1671-1689 ◽  
Author(s):  
J. A. Leu ◽  
D. D. Betts ◽  
C. J. Elliott
Keyword(s):  
High Temperature ◽  
Three Dimensional ◽  
Critical Energy ◽  
Temperature Series ◽  
Critical Parameters ◽  
Series Expansions ◽  
Critical Properties ◽  
Coordination Numbers ◽  
Exact Relations ◽  
Temperature Susceptibility

Three regular three-dimensional lattices of coordination numbers, q = 3, 4, and 6 are introduced. Exact relations are derived among the specific-heat singularity amplitudes and among the susceptibility singularity amplitudes. Exact high-temperature series expansions for the partition function and the susceptibility are derived for the q = 3 and q = 6 lattices. Precise values of the critical temperature, susceptibility amplitude, critical energy, and critical entropy are obtained for all three lattices. The variation of Ising critical parameters with coordination number is discussed.

Effect of Zn Substitution on Magnetic Properties of CuFe 2 O 4 : a High-Temperature Series Expansions Study

2018 ◽  
Vol 35 (1) ◽  
pp. 017501 ◽  
Author(s):  
S. Salmi ◽  
R. Masrour ◽  
A. El Grini ◽  
K. Bouslykhane ◽  
A. Hourmatallah ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
High Temperature ◽  
Temperature Series ◽  
Series Expansions ◽  
Zn Substitution
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