Effects of a finite number of particles on the thermodynamic properties of a harmonically trapped ideal charged Bose gas in a constant magnetic field

2016 ◽  
Vol 25 (1) ◽  
pp. 010307 ◽  
Author(s):  
Duan-Liang Xiao ◽  
Meng-Yun Lai ◽  
Xiao-Yin Pan
Keyword(s):  
Magnetic Field ◽  
Thermodynamic Properties ◽  
Finite Number ◽  
Constant Magnetic Field ◽  
Bose Gas ◽  
Number Of Particles

Statistical properties and condensate fluctuation of attractive Bose gas with finite number of particles

2017 ◽  
Vol 481 ◽  
pp. 79-89 ◽  
Author(s):  
Sangita Bera ◽  
Mantile Leslie Lekala ◽  
Barnali Chakrabarti ◽  
Satadal Bhattacharyya ◽  
Gaotsiwe Joel Rampho
Keyword(s):  
Finite Number ◽  
Bose Gas ◽  
Statistical Properties ◽  
Number Of Particles

THE EFFECTS OF A FINITE NUMBER OF PARTICLES ON TWO TRAPPED QUANTUM GASES

2011 ◽  
Vol 25 (32) ◽  
pp. 4435-4442
Author(s):  
LIWEI CHEN ◽  
GUOZHEN SU ◽  
JINCAN CHEN
Keyword(s):  
Finite Number ◽  
Particle Number ◽  
Bose Gas ◽  
Quantum Gases ◽  
Einstein Condensation ◽  
Thermodynamic Quantities ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Finite Particle ◽  
Number Of Particles

The effects of a finite number of particles on the thermodynamic properties of ideal Bose and Fermi gases trapped in any-dimensional harmonic potential are investigated. The orders of relative corrections to the thermodynamic quantities due to the finite number of particles are estimated in different situations. The results obtained for the two trapped quantum gases are compared, and consequently, it is shown that the finite-particle-number effects for the condensed Bose gas (a Bose gas with Bose–Einstein Condensation (BEC) occurring in the system) are much more significant than those for the Fermi gas and normal Bose gas (a Bose gas without BEC).

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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