No-slip boundary conditions for electron hydrodynamics and the thermal Casimir pressure

TL;DR

This paper derives modified electromagnetic reflection coefficients based on hydrodynamic boundary conditions to analyze the thermal Casimir pressure between metal plates, addressing the thermal anomaly observed in experiments.

Contribution

It introduces hydrodynamic boundary conditions into Casimir pressure calculations, providing a new approach to understanding thermal effects in conducting metals.

Findings

Modified reflection coefficients for electromagnetic waves are derived.

The temperature-dependent Casimir pressure is evaluated.

Results aim to clarify the thermal anomaly in experiments.

Abstract

We derive modified reflection coefficients for electromagnetic waves in the THz and far infrared range. The idea is based on hydrodynamic boundary conditions for metallic conduction electrons. The temperature-dependent part of the Casimir pressure between metal plates is evaluated. The results should shed light on the "thermal anomaly" where measurements deviate from the standard fluctuation electrodynamics for conducting metals.