Fractional Model of Electron–Phonon Interaction

Abstract

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.

Keywords

• thermodynamics
• equation of state
• fractional calculus
• quantum statistics