Fractional Model of Electron–Phonon Interaction
Based on the derivation of the equation of state for systems with a fractional power spectrum, the relationship between the van der Waals constant and the fractional derivative order has been established. The fractional model of electron–phonon interaction has received additional consideration, whic...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/5/379 |
| _version_ | 1797600033296613376 |
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| author | Vladimir Kulish Navid Aslfattahi Michal Schmirler |
| author_facet | Vladimir Kulish Navid Aslfattahi Michal Schmirler |
| author_sort | Vladimir Kulish |
| collection | DOAJ |
| description | Based on the derivation of the equation of state for systems with a fractional power spectrum, the relationship between the van der Waals constant and the fractional derivative order has been established. The fractional model of electron–phonon interaction has received additional consideration, which may be pertinent when interpreting the experimental results. This model is valuable for describing superconductivity at high temperatures because it predicts relatively large values for the electron–phonon interaction constant. |
| first_indexed | 2024-03-11T03:43:45Z |
| format | Article |
| id | doaj.art-889757db800e4b92975773846f8358d5 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T03:43:45Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-889757db800e4b92975773846f8358d52023-11-18T01:26:17ZengMDPI AGFractal and Fractional2504-31102023-05-017537910.3390/fractalfract7050379Fractional Model of Electron–Phonon InteractionVladimir Kulish0Navid Aslfattahi1Michal Schmirler2Department of Thermodynamics & Fluid Mechanics, Faculty of Mechanical Engineering, Czech Technical University in Prague, 166 07 Prague, Czech RepublicDepartment of Thermodynamics & Fluid Mechanics, Faculty of Mechanical Engineering, Czech Technical University in Prague, 166 07 Prague, Czech RepublicDepartment of Thermodynamics & Fluid Mechanics, Faculty of Mechanical Engineering, Czech Technical University in Prague, 166 07 Prague, Czech RepublicBased on the derivation of the equation of state for systems with a fractional power spectrum, the relationship between the van der Waals constant and the fractional derivative order has been established. The fractional model of electron–phonon interaction has received additional consideration, which may be pertinent when interpreting the experimental results. This model is valuable for describing superconductivity at high temperatures because it predicts relatively large values for the electron–phonon interaction constant.https://www.mdpi.com/2504-3110/7/5/379thermodynamicsequation of statefractional calculusquantum statistics |
| spellingShingle | Vladimir Kulish Navid Aslfattahi Michal Schmirler Fractional Model of Electron–Phonon Interaction Fractal and Fractional thermodynamics equation of state fractional calculus quantum statistics |
| title | Fractional Model of Electron–Phonon Interaction |
| title_full | Fractional Model of Electron–Phonon Interaction |
| title_fullStr | Fractional Model of Electron–Phonon Interaction |
| title_full_unstemmed | Fractional Model of Electron–Phonon Interaction |
| title_short | Fractional Model of Electron–Phonon Interaction |
| title_sort | fractional model of electron phonon interaction |
| topic | thermodynamics equation of state fractional calculus quantum statistics |
| url | https://www.mdpi.com/2504-3110/7/5/379 |
| work_keys_str_mv | AT vladimirkulish fractionalmodelofelectronphononinteraction AT navidaslfattahi fractionalmodelofelectronphononinteraction AT michalschmirler fractionalmodelofelectronphononinteraction |