Thermodynamics Properties of Confined Particles on Noncommutative Plane
| Autor: | Rachid Houça, Ahmed Jellal |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
High Energy Physics - Theory Partition function (statistical mechanics) Quantum Physics Statistical Mechanics (cond-mat.stat-mech) Physics and Astronomy (miscellaneous) Internal energy 010308 nuclear & particles physics Plane (geometry) Computer Science::Information Retrieval FOS: Physical sciences Thermodynamics 01 natural sciences Noncommutative geometry Heat capacity law.invention Magnetic field Magnetization High Energy Physics - Theory (hep-th) law 0103 physical sciences Quantum Physics (quant-ph) 010306 general physics Bose–Einstein condensate Condensed Matter - Statistical Mechanics |
| Popis: | We consider a system of $N$ particles living on the noncommutative plane in the presence of a confining potential and study its thermodynamics properties. Indeed, after calculating the partition function, we determine the corresponding internal energy and heat capacity where different corrections are obtained. In analogy with the magnetic field case, we define an effective magnetization and study its susceptibility in terms of the noncommutative parameter $\theta$. By introducing the chemical potential, we investigate the Bose-Einstein condensation for the present system. Different limiting cases related to the temperature and $\theta$ will be analyzed as well as some numerical illustration will be presented. Comment: 13 pages, 5 figures |
| Databáze: | OpenAIRE |
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