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A model is proposed for calculating the Casimir-Lifshitz force between two finite rectangular and infinite graphene sheets in a vacuum, based on the classical electrodynamic Green’s function method and two-dimensional conductivity model. The force is calculated using the Maxwell’s tension tensor by solving the integral equations in the spectral spacefrequency domain. It is shown that its origin is due to random vibrations associated with long-wave surface plasmons.
M. V. Davidovich
"Casimir-Lifshitz force and plasmons in a structure with two graphene sheets", Proc. SPIE 11846, Saratov Fall Meeting 2020: Laser Physics, Photonic Technologies, and Molecular Modeling, 118460J (4 May 2021); https://doi.org/10.1117/12.2589911
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M. V. Davidovich, "Casimir-Lifshitz force and plasmons in a structure with two graphene sheets," Proc. SPIE 11846, Saratov Fall Meeting 2020: Laser Physics, Photonic Technologies, and Molecular Modeling, 118460J (4 May 2021); https://doi.org/10.1117/12.2589911