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.

SPIN-POLARIZED ATOMIC DEUTERIUM (↓D) IN THE STATIC FLUCTUATION APPROXIMATION (SFA)

2008 ◽  
Vol 22 (03) ◽  
pp. 257-266 ◽  
Author(s):  
A. S. SANDOUQA ◽  
B. R. JOUDEH ◽  
M. K. AL-SUGHEIR ◽  
H. B. GHASSIB
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Ideal Gas ◽  
Hard Sphere Model ◽  
Spin Polarized ◽  
Static Fluctuation Approximation ◽  
Static Fluctuation ◽  
Type Potential ◽  
The Ideal

Spin-polarized atomic deuterium (↓D) is investigated in the static fluctuation approximation with a Morse-type potential. The thermodynamic properties of the system are computed as functions of temperature. In addition, the ground-state energy per atom is calculated for the three species of ↓D : ↓D 1, ↓D 2, and ↓D 3. This is then compared to the corresponding ground-state energy per atom for the ideal gas, and to that obtained by the perturbation theory of the hard sphere model. It is deduced that ↓D is nearly ideal.

scholarly journals BEC IN NONEXTENSIVE STATISTICAL MECHANICS

2000 ◽  
Vol 14 (04) ◽  
pp. 405-409 ◽  
Author(s):  
LUCA SALASNICH
Keyword(s):  
Transition Temperature ◽  
Statistical Mechanics ◽  
Dimensional Space ◽  
Ideal Gas ◽  
Einstein Condensation ◽  
Nonextensive Statistical Mechanics ◽  
Small Deviations ◽  
Bose Einstein Condensation ◽  
Bose Statistics ◽  
Bose Einstein

We discuss the Bose–Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the st and ard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The results show that small deviations from the extensive Bose statistics produce remarkably large changes in the BEC transition temperature.

scholarly journals BEC IN NONEXTENSIVE STATISTICAL MECHANICS: SOME ADDITIONAL RESULTS

2001 ◽  
Vol 15 (09) ◽  
pp. 1253-1256 ◽  
Author(s):  
LUCA SALASNICH
Keyword(s):  
Transition Temperature ◽  
Statistical Mechanics ◽  
Previous Analysis ◽  
Ideal Gas ◽  
Einstein Condensation ◽  
Nonextensive Statistical Mechanics ◽  
Bose Einstein Condensation ◽  
Analytical Formulas ◽  
Bose Einstein ◽  
Ideal Bose Gas

In a recent paper1 we discussed the Bose–Einstein condensation (BEC) in the framework of Tsallis's nonextensive statistical mechanics. In particular, we studied an ideal gas of bosons in a confining harmonic potential. In this memoir we generalize our previous analysis by investigating an ideal Bose gas in a generic power-law external potential. We derive analytical formulas for the energy of the system, the BEC transition temperature and the condensed fraction.

STATISTICAL INTERPRETATION ON THE BROWNIAN STEPS OF KINESIN AND ITS PERFORMANCE CHARACTERISTICS

2009 ◽  
Vol 23 (14) ◽  
pp. 1753-1761
Author(s):  
YUE ZHANG ◽  
JINCAN CHEN
Keyword(s):  
Thermodynamic Properties ◽  
Statistical Method ◽  
Dwell Time ◽  
Statistical Interpretation ◽  
Temperature Dependent ◽  
Run Length ◽  
The Mean ◽  
Stochastic Reaction ◽  
Experimental Researches ◽  
Good Agreement

Kinesin is a stepping motor that moves along microtubules in discrete steps of 8 nm and there may exist three events in kinesin movement, i.e. the forward step, the backward step and the detachment. On the basis of the data obtained in the advanced experiments and the assumption that the rates of the three stochastic reaction events are Boltzmann type, the mechanical kinetic and thermodynamic properties of the kinesin motor are investigated through a statistical method. The mean dwell time, velocity, run length, power and efficiency of the motor are calculated theoretically. The effects of the temperature and load on the performance of the motor are discussed. It is found that the temperature dependent relations of both the mean run length and the efficiency ηM are not simply linear. The results are in good agreement with those obtained in previous experimental researches.

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