The classical two-dimensional Ising model in the static fluctuation approximation

1999 ◽  
Vol 113 (5) ◽  
pp. 257-261 ◽  
Author(s):  
R.R. Nigmatullin ◽  
A.A. Khamzin ◽  
H.B. Ghassib
Keyword(s):  
Ising Model ◽  
Two Dimensional ◽  
Static Fluctuation Approximation ◽  
Static Fluctuation

scholarly journals Thermodynamic properties of graphene using the static fluctuation approximation (SFA)

2017 ◽  
Vol 95 (3) ◽  
pp. 211-219 ◽  
Author(s):  
Mustafa M. Hawamdeh ◽  
Mohamed K. Al-Sugheir ◽  
Ayman S. Sandouqa ◽  
Humam B. Ghassib
Keyword(s):  
Thermodynamic Properties ◽  
Statistical Mechanics ◽  
Ideal Gas ◽  
Two Dimensional ◽  
Nonextensive Statistical Mechanics ◽  
Static Fluctuation Approximation ◽  
Entropy Parameter ◽  
The Mean ◽  
Static Fluctuation ◽  
Good Agreement

The thermodynamic properties of two-dimensional graphene nanosystems are investigated using the static fluctuation approximation (SFA). These properties are analyzed using both extensive and nonextensive statistical mechanics. It is found that these properties are less sensitive to temperature when using nonextensive — in contrast to extensive — statistical mechanics. It is also noted that the mean internal energy and the specific heat behave as a power law, Tα, at T < 8 eV; whereas they go to the classical limit for the two-dimensional ideal gas at T > 8 eV. The results are presented in a set of figures and one table. The roles played by the number of particles and the entropy parameter q are underlined. Whenever possible, comparisons are made to previous studies. It is concluded that Boltzmann–Gibbs statistics are not valid for some cases, and that SFA results are in good agreement with those obtained within other formalisms.

Sign in / Sign up

Export Citation Format

Share Document