SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE
Self-consistent approach for interacting phonons description in lattice, which generalizes Debye model, is proposed. Notion of “selfconsistent” phonons is introduced, speed of which depends on temperature and is determined from non-linear equation. Debye energy is also a function of temperature in t...
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| Format: | Article |
| Language: | English |
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V.N. Karazin Kharkiv National University Publishing
2016-12-01
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| Series: | East European Journal of Physics |
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| Online Access: | https://periodicals.karazin.ua/eejp/article/view/7418 |
| _version_ | 1818132773215404032 |
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| author | Yu. M. Poluektov |
| author_facet | Yu. M. Poluektov |
| author_sort | Yu. M. Poluektov |
| collection | DOAJ |
| description | Self-consistent approach for interacting phonons description in lattice, which generalizes Debye model, is proposed. Notion of “selfconsistent” phonons is introduced, speed of which depends on temperature and is determined from non-linear equation. Debye energy is also a function of temperature in this approach. Thermodynamics of “self-consistent” phonon gas is constructed. It is shown, that at low temperatures there is a correction propotional to the seventh power of temperature to the cubic law of specific heat dependence on temperature. This may be one of the reasons why cubic law for specific heat is observed only at rather low temperatures. At high temperatures the theory predicts linear deviation from Dulong-Petit law, which is observed experimentally. |
| first_indexed | 2024-12-11T08:42:09Z |
| format | Article |
| id | doaj.art-a5896b0527614e28b7fc3a997b7ed090 |
| institution | Directory Open Access Journal |
| issn | 2312-4334 2312-4539 |
| language | English |
| last_indexed | 2024-12-11T08:42:09Z |
| publishDate | 2016-12-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj.art-a5896b0527614e28b7fc3a997b7ed0902022-12-22T01:14:13ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392016-12-013335467418SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICEYu. M. Poluektov0National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., 61108 Kharkov, UkraineKharkоv V.N. Karazin National UniversitySq. Svobody 4, Kharkov, 61022, UkraineSelf-consistent approach for interacting phonons description in lattice, which generalizes Debye model, is proposed. Notion of “selfconsistent” phonons is introduced, speed of which depends on temperature and is determined from non-linear equation. Debye energy is also a function of temperature in this approach. Thermodynamics of “self-consistent” phonon gas is constructed. It is shown, that at low temperatures there is a correction propotional to the seventh power of temperature to the cubic law of specific heat dependence on temperature. This may be one of the reasons why cubic law for specific heat is observed only at rather low temperatures. At high temperatures the theory predicts linear deviation from Dulong-Petit law, which is observed experimentally.https://periodicals.karazin.ua/eejp/article/view/7418phononspecific heatphonon- phonon interactionDebye energyquasiparticle |
| spellingShingle | Yu. M. Poluektov SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE East European Journal of Physics phonon specific heat phonon- phonon interaction Debye energy quasiparticle |
| title | SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE |
| title_full | SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE |
| title_fullStr | SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE |
| title_full_unstemmed | SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE |
| title_short | SELF-CONSISTENT DESCRIPTION OF INTERACTING PHONONS IN A CRYSTAL LATTICE |
| title_sort | self consistent description of interacting phonons in a crystal lattice |
| topic | phonon specific heat phonon- phonon interaction Debye energy quasiparticle |
| url | https://periodicals.karazin.ua/eejp/article/view/7418 |
| work_keys_str_mv | AT yumpoluektov selfconsistentdescriptionofinteractingphononsinacrystallattice |