Phonon number fluctuations in Debye model of solid
The mean numbers and the fluctuations for phonons in the Debye model of solid are calculated. When the temperatures are higher and lower in comparison with the characteristic one determined by the Debye cutoff frequency, the mean numbers are proportional to the temperature and temperature cubed, res...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Elsevier
2019-12-01
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Series: | Results in Physics |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719319576 |
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author | Q. Chen X. Wang Q.H. Liu |
author_facet | Q. Chen X. Wang Q.H. Liu |
author_sort | Q. Chen |
collection | DOAJ |
description | The mean numbers and the fluctuations for phonons in the Debye model of solid are calculated. When the temperatures are higher and lower in comparison with the characteristic one determined by the Debye cutoff frequency, the mean numbers are proportional to the temperature and temperature cubed, respectively, meanwhile, the fluctuations are proportional to the temperature squared and temperature cubed, respectively. |
first_indexed | 2024-12-12T09:32:14Z |
format | Article |
id | doaj.art-cf4c32b223a34704b458e1ff42f21422 |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-12-12T09:32:14Z |
publishDate | 2019-12-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
spelling | doaj.art-cf4c32b223a34704b458e1ff42f214222022-12-22T00:28:50ZengElsevierResults in Physics2211-37972019-12-0115Phonon number fluctuations in Debye model of solidQ. Chen0X. Wang1Q.H. Liu2School for Theoretical Physics, School of Physics and Electronics, Hunan University, Changsha 410082, ChinaSchool for Theoretical Physics, School of Physics and Electronics, Hunan University, Changsha 410082, ChinaSchool for Theoretical Physics, School of Physics and Electronics, Hunan University, Changsha 410082, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, Changsha 410081, China; Corresponding author at: School for Theoretical Physics, School of Physics and Electronics, Hunan University, Changsha 410082, China.The mean numbers and the fluctuations for phonons in the Debye model of solid are calculated. When the temperatures are higher and lower in comparison with the characteristic one determined by the Debye cutoff frequency, the mean numbers are proportional to the temperature and temperature cubed, respectively, meanwhile, the fluctuations are proportional to the temperature squared and temperature cubed, respectively.http://www.sciencedirect.com/science/article/pii/S2211379719319576 |
spellingShingle | Q. Chen X. Wang Q.H. Liu Phonon number fluctuations in Debye model of solid Results in Physics |
title | Phonon number fluctuations in Debye model of solid |
title_full | Phonon number fluctuations in Debye model of solid |
title_fullStr | Phonon number fluctuations in Debye model of solid |
title_full_unstemmed | Phonon number fluctuations in Debye model of solid |
title_short | Phonon number fluctuations in Debye model of solid |
title_sort | phonon number fluctuations in debye model of solid |
url | http://www.sciencedirect.com/science/article/pii/S2211379719319576 |
work_keys_str_mv | AT qchen phononnumberfluctuationsindebyemodelofsolid AT xwang phononnumberfluctuationsindebyemodelofsolid AT qhliu phononnumberfluctuationsindebyemodelofsolid |