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...

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Main Authors: Q. Chen, X. Wang, Q.H. Liu
Format: Article
Language:English
Published: Elsevier 2019-12-01
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.
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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