Thermodynamic properties of two-dimensional few-electrons quantum dot using the static fluctuation approximation (SFA)

2011 ◽  
Vol 406 (24) ◽  
pp. 4671-4677 ◽  
Author(s):  
F.S. Nammas ◽  
A.S. Sandouqa ◽  
H.B. Ghassib ◽  
M.K. Al-Sugheir
Keyword(s):  
Thermodynamic Properties ◽  
Quantum Dot ◽  
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.

A microscopic study of neon and argon gases within the static fluctuation approximation (SFA)

2018 ◽  
Vol 32 (16) ◽  
pp. 1850203
Author(s):  
H. B. Ghassib ◽  
A. S. Sandouqa ◽  
B. R. Joudeh ◽  
I. F. Al-Maaitah ◽  
A. N. Akour ◽  
...  
Keyword(s):  
Experimental Data ◽  
Monte Carlo ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Internal Energy ◽  
Microscopic Study ◽  
Ideal Gas ◽  
Static Fluctuation Approximation ◽  
Static Fluctuation ◽  
The Ideal

The thermodynamic properties of neon and argon gases are studied within the static fluctuation approximation (SFA). These properties include the total internal energy, pressure, entropy, compressibility and specific heat. The results are compared with those recently obtained within the Galitskii–Migdal–Feynman (GMF) formalism. The overall agreement is very good. An exception, however, is the specific-heat results for neon. While SFA gives results rather similar to those of the ideal gas, the corresponding GMF results are quite different. It is argued that the discrepancy seems to have arisen from quantum effects in conformity with very recent Monte Carlo computations. Whenever possible, our SFA results are compared to experimental data.

scholarly journals THERMODYNAMIC PROPERTIES OF AN INTERACTING HARD-SPHERE BOSE GAS IN A TRAP USING THE STATIC FLUCTUATION APPROXIMATION

2010 ◽  
Vol 24 (24) ◽  
pp. 4779-4809 ◽  
Author(s):  
SALEEM I. QASHOU ◽  
MOHAMED K. AL-SUGHEIR ◽  
ASAAD R. SAKHEL ◽  
HUMAM B. GHASSIB
Keyword(s):  
Thermodynamic Properties ◽  
Hard Sphere ◽  
Occupation Number ◽  
Interaction Strength ◽  
Bose Gas ◽  
Weakly Interacting ◽  
Oscillator Wave Function ◽  
Static Fluctuation Approximation ◽  
Static Fluctuation ◽  
Number Of Particles

A hard-sphere (HS) Bose gas in a trap is investigated at finite temperatures in the weakly interacting regime and its thermodynamic properties are evaluated using the static fluctuation approximation. The energies are calculated with a second-quantized many-body Hamiltonian and a harmonic oscillator wave function. The specific heat capacity, internal energy, pressure, entropy, and the Bose–Einstein occupation number of the system are determined as functions of temperature and for various values of interaction strength and number of particles. It is found that the number of particles plays a more profound role in the determination of the thermodynamic properties of the system than the HS diameter characterizing the interaction, that the critical temperature drops with the increase of the repulsion between the bosons, and that the fluctuations in the energy are much smaller than the energy itself in the weakly interacting regime.

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