Effects of a finite number of particles on the thermodynamic properties of a noninteracting trapped Fermi gas

2004 ◽  
Vol 326 (3-4) ◽  
pp. 252-258 ◽  
Author(s):  
Guozhen Su ◽  
Lixuan Chen ◽  
Jincan Chen
Keyword(s):  
Thermodynamic Properties ◽  
Finite Number ◽  
Fermi Gas ◽  
Number Of Particles

Specific Heat of Square Spin Ice in Finite Point Ising-Like Dipoles Model

2015 ◽  
Vol 245 ◽  
pp. 23-27 ◽  
Author(s):  
Yuriy Shevchenko ◽  
Vitalii Kapitan ◽  
Konstantin V. Nefedev
Keyword(s):  
Finite Number ◽  
Statistical Models ◽  
Statistical Physics ◽  
Calculation Methods ◽  
Magnetostatic Interaction ◽  
Finite Point ◽  
Magnetic Dipoles ◽  
Higher Temperature ◽  
Gibbs Formalism ◽  
Number Of Particles

In the model of finite number (up to 24) of point Ising-like magnetic dipoles with magnetostatic interaction on square 2D lattice within the framework of statistical physics, with using Gibbs formalism and by the means of Metropolis algorithm the heating dependence of temperature has been evaluated. The temperature dependence of the heat capacity on finite number of point dipoles has the finite value of maximum. Together with increase of the system in size the heating peak grows and moves to the area with higher temperature. The obtained results are useful in experimental verification of statistical models, as well as in development and testing of approximate calculation methods of systems with great number of particles.

scholarly journals Remarks on the Size Distribution of Colliding and Fragmenting Particles

1971 ◽  
Vol 12 ◽  
pp. 297-303
Author(s):  
Lothar W. Bandermann
Keyword(s):  
Finite Number ◽  
Size Distribution ◽  
Unit Volume ◽  
Interplanetary Dust ◽  
Fixed Volume ◽  
Two Bodies ◽  
Mass Interval ◽  
Number Of Particles ◽  
The Way

This paper is concerned with some aspects of determining the evolution of the size distribution of a finite number of mutually colliding and fragmenting particles such as the asteroids or interplanetary dust. If n(m, t) is the number of particles per unit volume per mass interval at time t, then n = dn/dt is the rate at which that number changes with time. This rate can be calculated if the laws are known according to which the colliding bodies erode one another and fragment and if the influence of collisions on the motion of the particles is known. To reduce the complexity of the problem, one assumes that the speed of approach between the bodies is always the same vcoll and that they, as well as the debris, occupy a fixed volume (“particles in a box”). Only collisions between two bodies are considered, and the way in which erosion and fragmentation occurs at a given value of vcoll depends only on their masses. The particles are assumed to be spherical.

Effect of a finite number of particles in the Bose-Einstein condensation of a trapped gas

1997 ◽  
Vol 55 (5) ◽  
pp. 3954-3956 ◽  
Author(s):  
R. Napolitano ◽  
J. De Luca ◽  
V. S. Bagnato ◽  
G. C. Marques
Keyword(s):  
Finite Number ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Trapped Gas ◽  
Bose Einstein ◽  
Number Of Particles

Thermodynamic properties of an ideal Fermi gas in an external potential withU=brtin any dimensional space

1998 ◽  
Vol 58 (2) ◽  
pp. 1445-1449 ◽  
Author(s):  
Mingzhe Li ◽  
Zijun Yan ◽  
Jincan Chen ◽  
Lixuan Chen ◽  
Chuanhong Chen
Keyword(s):  
Thermodynamic Properties ◽  
Dimensional Space ◽  
Fermi Gas ◽  
External Potential

scholarly journals Thermodynamic properties of Rashba spin-orbit-coupled Fermi gas

2014 ◽  
Vol 90 (6) ◽  
Author(s):  
Zhen Zheng ◽  
Han Pu ◽  
Xubo Zou ◽  
Guangcan Guo
Keyword(s):  
Thermodynamic Properties ◽  
Fermi Gas ◽  
Spin Orbit ◽  
Rashba Spin

scholarly journals THERMODYNAMIC PROPERTIES OF A QUANTUM GROUP BOSON GAS GLp,q(2)

2002 ◽  
Vol 17 (12) ◽  
pp. 701-710 ◽  
Author(s):  
AHMED JELLAL
Keyword(s):  
Thermodynamic Properties ◽  
Quantum Group ◽  
Present System ◽  
Bosonic System ◽  
Deformation Parameters ◽  
Number Of Particles

An approach is proposed enabling to effectively describe the behavior of a bosonic system. The approach uses the quantum group GL p,q(2) formalism. Indeed, considering a bosonic Hamiltonian in terms of the GL p,q(2) generators, it is shown that its thermodynamic properties are connected to deformation parameters p and q. For instance, the average number of particles and the pressure have been computed. If p is fixed to be the same value for q, our approach coincides perfectly with some results developed recently in this subject. The ordinary results, of the present system, can be found when we take the limit p = q = 1.

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