KFU. Card publication. Analytical investigation of the specific heat for the Cantor energy spectrum

KAZAN
FEDERAL UNIVERSITY

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ANALYTICAL INVESTIGATION OF THE SPECIFIC HEAT FOR THE CANTOR ENERGY SPECTRUM

Form of presentation

Articles in international journals and collections

Year of publication

2015

Язык

английский

Authors, employees of KFU

Khamzin Ayrat Albertovich, author

Other authors

Nigmatullin Ravil Rashidovich, author

Authors, students KFU

Groshev Dmitriy Evgenevich, author

Bibliographic description in the original language

Khamzin, A.A., Nigmatullin, R.R., Groshev, D.E. Analytical investigation of the specific heat for the Cantor energy spectrum // Physics Letters A. - 2015. - V. 379 (12-13). - P. 928-932

Annotation

For the energy spectrum obtained for monoscale Cantor set the correct analytical calculations of the specific heat in the frame of the Boltzmann–Maxwell statistics havebeen performed. These evaluations were realized with the help of Mellin'stransform. The accurate analytical expressions for the specific heat in all temperature range were obtained. They demonstrate the log-periodic behavior in low-temperature and non-oscillatory behavior in high-temperature regions, accordingly. The accurate value of the limiting temperature determining the boundary between these two regions was found and evaluated.

Keywords

Квазипериодические структуры, множество Кантора, теплоемкость, логопериодические осцилляции

The name of the journal

PHYSICA A

URL

http://www.sciencedirect.com/science/article/pii/S0375960115000961

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=114248&p_lang=2

Resource files

File name	Size (MB)	Format
Physics_Letters_A_2015.pdf	0,30	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Khamzin Ayrat Albertovich	ru_RU
dc.contributor.author	Nigmatullin Ravil Rashidovich	ru_RU
dc.contributor.author	Groshev Dmitriy Evgenevich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Khamzin, A.A., Nigmatullin, R.R., Groshev, D.E. Analytical investigation of the specific heat for the Cantor energy spectrum // Physics Letters A. - 2015. - V. 379 (12-13). - P. 928-932	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=114248&p_lang=2	ru_RU
dc.description.abstract	PHYSICA A	ru_RU
dc.description.abstract	For the energy spectrum obtained for monoscale Cantor set the correct analytical calculations of the specific heat in the frame of the Boltzmann–Maxwell statistics havebeen performed. These evaluations were realized with the help of Mellin'stransform. The accurate analytical expressions for the specific heat in all temperature range were obtained. They demonstrate the log-periodic behavior in low-temperature and non-oscillatory behavior in high-temperature regions, accordingly. The accurate value of the limiting temperature determining the boundary between these two regions was found and evaluated.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Квазипериодические структуры	ru_RU
dc.subject	множество Кантора	ru_RU
dc.subject	теплоемкость	ru_RU
dc.subject	логопериодические осцилляции	ru_RU
dc.title	Analytical investigation of the specific heat for the Cantor energy spectrum	ru_RU
dc.type	Articles in international journals and collections	ru_RU