Thermodynamic properties of a charged particle in non-uniform magnetic field
| Autor: | H. R. Rastegar Sedehi, Ramazan Sever, Altug Arda |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Partition function (statistical mechanics) Quantum Physics Condensed matter physics FOS: Physical sciences 02 engineering and technology Function (mathematics) 021001 nanoscience & nanotechnology 01 natural sciences Magnetic susceptibility Atomic and Molecular Physics and Optics Charged particle Electronic Optical and Magnetic Materials Magnetic field Schrödinger equation 010309 optics Entropy (classical thermodynamics) symbols.namesake 0103 physical sciences symbols Electrical and Electronic Engineering 0210 nano-technology Constant (mathematics) Quantum Physics (quant-ph) |
| DOI: | 10.48550/arxiv.2102.12517 |
| Popis: | We solve the Schr\"odinger equation for a charged particle in the non-uniform magnetic field by using the Nikiforov-Uvarov method. We find the energy spectrum and the wave function, and present an explicit relation for the partition function. We give analytical expressions for the thermodynamic properties such as mean energy and magnetic susceptibility, and analyze the entropy, free energy and specific heat of this system numerically. It is concluded that the specific heat and magnetic susceptibility increase with external magnetic field strength and different values of the non-uniformity parameter, $\alpha$, in the low temperature region, while the mentioned quantities are decreased in high temperature regions due to increasing the occupied levels at these regions. The non-uniformity parameter has the same effect with a constant value of the magnetic field on the behavior of thermodynamic properties. On the other hand, the results show that transition from positive to negative magnetic susceptibility depends on the values of non-uniformity parameter in the constant external magnetic field. Comment: 22 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|