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Cattaneo, C. (1958) Sur une Forme de I’equation de la Chaleur Eliminant le Paradoxe d’une Propagation Instantanee (A Form of Heat Conduction Equation Which Eliminates the Paradox of Instantaneous Propagation). Comptes Rendus de l’Académie des Sciences, 247, 431-433.

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.