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Povstenko, Y. and Ostoja-Starzewski, M. (2020) Doppler Effect Described by the Solutions of the Cattaneo Telegraph Equation. Acta Mechanica, 232, 725-740.
https://doi.org/10.1007/s00707-020-02860-y

has been cited by the following article:

• TITLE: Out of Equilibrium Extended Electrodynamics, Dynamic Thomson Voltages and Helical Thermal Waves on Rotating Conductors Exposed to Chopped Laser Beam

  AUTHORS: Gianpaolo Bei

  KEYWORDS: Generalized Schiff Rotational Electrodynamics, Out of Equilibrium Extended Electrodynamic Theory, Polarized Heat Vortex Beams, Dynamic Thomson Voltage, Quantized Helical Massive Thermal Waves, Rotational Tolman Cooling Effect

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.8, August 28, 2025

  ABSTRACT: We propose a new out of equilibrium thermodynamic approach to Schiff Electrodynamics aimed to generalize in rotating frames a recent reformulation of extended Ahranov-Bohm electrodynamic model. In accordance with these theories, we introduce a gauge breaking scalar field S linearly dependent on a thermal field T generated by a chopped laser beam, showing that under particular hypotheses it satisfies the hyperbolic telegraph equation. Exploiting then a particular gauge generalized condition suggested recently, we deduce that T and S are proportional to a thermoelectric scalar field which satisfies a Klein-Gordon equation, suggesting it can be interpreted as a dynamic Thomson voltage induced by rotation. We then illustrate briefly a more general theory of anisotropic heat diffusion on rotating conductors exposed to a chopped polarized laser beam formulated and developed in the Ph.D. thesis of the author. We show the existence of new helicoidal thermal waves that satisfy a telegraphist dissipative equation, whose isothermal wavefronts are quantized. We give a simple stationary estimate of a new dynamic Thomson effect induced by the chopped laser beam on the rotating conductors which is similar to a rotational Tolman effect. Finally, it is briefly outlined the relevance of the new anisotropic wavelike heat diffusion model proposed for paving the way to a new dynamic approach to thermal management and to future implementation of tunable thermal emissivity on thermal metamaterials bypassing conventional Kirchoff reciprocity law.