Generalization of Fourier’s Law into Viscous Heat Equations
Michele Simoncelli, Nicola Marzari, Andrea Cepellotti
Abstract
Two novel differential equations for heat conduction in crystals generalize Fourier's law and explain why heat propagation can become fluidlike, rather than diffusive, in electronic or phononic devices.
Topics & Concepts
GeneralizationThermal conductionPhysicsHeat equationClassical mechanicsDifferential equationRelativistic heat conductionLawMathematical analysisMechanicsSecond soundMathematicsPartial differential equationSpecific heatHeat flowDifferential (mechanical device)Heat transferSecond law of thermodynamicsThermal properties of materialsComposite Material MechanicsThermoelastic and Magnetoelastic Phenomena