The Fourier equation of heat conduction predicts a paradox that the effect of a thermal impulse (e.g. the thermal effect in pulse laser) in an infinite medium; i.e., a thermal impulse is propagated in an infinite velocity. In order to solve the thermal transport paradox, C. W. Ulbrich and M. Chester have proposed the modification heat conduction equation respectively from different macroscopic viewpoint. This paper derived the modification heat conduction equation according to phonon model and quantum mechanics from microscopic viewpoint.
© 2005 Chinese Optics Letters
(140.6810) Lasers and laser optics : Thermal effects
Lingyun Zhou, Canbang Zhang, Yiying Zhou, and Guangmin Wu, "Derivation of the modification heating conduction equation of a kind of laser thermal effect by quantum mechanics," Chin. Opt. Lett. 1, 411-413 (2003)