On the statistical distribution in a deformed solid
| Autor: | A. S. Luk’yanenko, N. N. Gorobei |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
010302 applied physics
Materials science Solid-state physics Anharmonicity 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics First order 01 natural sciences Boltzmann distribution Electronic Optical and Magnetic Materials Formalism (philosophy of mathematics) 0103 physical sciences Thermal Statistical physics 0210 nano-technology Quantum First law of thermodynamics |
| Zdroj: | Physics of the Solid State. 59:1818-1821 |
| ISSN: | 1090-6460 1063-7834 |
| DOI: | 10.1134/s1063783417090116 |
| Popis: | A modification of the Gibbs distribution in a thermally insulated mechanically deformed solid, where its linear dimensions (shape parameters) are excluded from statistical averaging and included among the macroscopic parameters of state alongside with the temperature, is proposed. Formally, this modification is reduced to corresponding additional conditions when calculating the statistical sum. The shape parameters and the temperature themselves are found from the conditions of mechanical and thermal equilibria of a body, and their change is determined using the first law of thermodynamics. Known thermodynamic phenomena are analyzed for the simple model of a solid, i.e., an ensemble of anharmonic oscillators, within the proposed formalism with an accuracy of up to the first order by the anharmonicity constant. The distribution modification is considered for the classic and quantum temperature regions apart. |
| Databáze: | OpenAIRE |
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