Chemical potentials and thermodynamic characteristics of ideal Bose- and Fermi-gases in the region of quantum degeneracy
| Autor: | K. V. Sereda, Andrii Sotnikov, Yu. V. Slyusarenko |
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| Rok vydání: | 2017 |
| Předmět: |
Physics
Monatomic gas education.field_of_study Ideal (set theory) Physics and Astronomy (miscellaneous) Population General Physics and Astronomy 01 natural sciences Ideal gas 010305 fluids & plasmas Quantum mechanics Quantum electrodynamics 0103 physical sciences Energy level 010306 general physics Degeneracy (mathematics) Quantum statistical mechanics education Quantum |
| Zdroj: | Low Temperature Physics. 43:144-151 |
| ISSN: | 1090-6517 1063-777X |
| DOI: | 10.1063/1.4975807 |
| Popis: | Calculations of chemical potentials for ideal monatomic gases with Bose-Einstein and Fermi-Dirac statistics as functions of temperature, across the temperature region that is typical for the collective quantum degeneracy effect, are presented. Numerical calculations are performed without any additional approximations, and explicit dependences of the chemical potentials on temperature are constructed at a fixed density of gas particles. Approximate polynomial dependences of chemical potentials on temperature are obtained that allow for the results to be used in further studies without re-applying the involved numerical methods. The ease of using the obtained representations is demonstrated on examples of deformation of distribution for a population of energy states at low temperatures, and on the impact of quantum statistics (exchange interaction) on the equations of state for ideal gases and some of the thermodynamic properties thereof. The results of this study essentially unify two opposite limiting cases in an intermediate region that are used to describe the equilibrium states of ideal gases, which are well known from university courses on statistical physics, thus adding value from an educational point of view. |
| Databáze: | OpenAIRE |
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