Thermodynamic properties of an Aharonov-Bohm quantum ring
| Autor: | F. C. E. Lima, R. R. S. Oliveira, A. A. Araújo Filho, R. V. Maluf, C. A. S. Almeida |
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| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Physics Canonical ensemble Imagination Quantum Physics Chemical substance media_common.quotation_subject Complex system FOS: Physical sciences General Physics and Astronomy Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Heat capacity Entropy (classical thermodynamics) symbols.namesake High Energy Physics - Theory (hep-th) Quantum mechanics Helmholtz free energy symbols Quantum Physics (quant-ph) Quantum media_common |
| Zdroj: | The European Physical Journal Plus. 134 |
| ISSN: | 2190-5444 |
| DOI: | 10.1140/epjp/i2019-12880-x |
| Popis: | In this paper, we investigate the thermodynamic properties of an Aharonov-Bohm (AB) quantum ring in a heat bath for both relativistic and non-relativistic cases. For accomplishing this, we used the partition function which was obtained numerically using the Euler-Maclaurin formula. In particular, we determined the energy spectra as well as the behavior of the main thermodynamic functions of the canonical ensemble, namely, the Helmholtz free energy, the mean energy, the entropy and the heat capacity. The so-called Dulong-Petit law was verified only for the relativistic case. We noticed that in the low energy regime, the relativistic thermodynamic functions are reduced to the non-relativistic case as well. Comment: 12 pages, 8 figures |
| Databáze: | OpenAIRE |
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