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Casimir-Lifshitz force between moving plates at different temperatures

2009/04/14 by T. G. Philbin, Philbin, T. G., Ulf Leonhardt +1 · 1 citation
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.0904.2148

openalex publication_date 2009/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The zero-temperature Casimir-Lifshitz force between two plates moving parallel to each other at arbitrary constant speed was found in [New J. Phys. 11, 033035 (2009)]. The solution is here generalized to the case where the plates are at different temperatures. The Casimir-Lifshitz force is obtained by calculating the electromagnetic stress tensor, using the method employed by Antezza et al. [Phys. Rev. A 77, 022901 (2008)] for non-moving plates at different temperatures. The perpendicular force on the plates has contributions from the quantum vacuum and from the thermal radiation; both of these contributions are influenced by the motion. In addition to the perpendicular force, thermal radiation from the moving plates gives rise to a lateral component of the Casimir-Lifshitz force, an effect with no quantum-vacuum contribution. The zero-temperature results are reproduced, in particular the non-existence of a quantum-vacuum friction between the plates.

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