Abstract

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

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  1. M. Chester, Phys. Rev. 131, 2013 (1963).
  2. C. W. Ulbrich, Phys. Rev. 123, 2001 (1961).
  3. J. F. Ready, Effects of High-Power Laser Radiation (Academic Press, New York, 1971).
  4. M. V. Allmen, Laser-Beam Interaction with Materials, Physical Principles and Application (Spring-Verlag, Berlin 1987).
  5. Y. Y. Zhou, L. Y. Zhou, and R. L. Wang, Proc. SPIE 3863, 423 (1999).
  6. H. Haken, Quantum Field Theory of Solid (North- Holland Publishing Company, Amsterdam, 1976) p. 232.
  7. G. Grimrall, The Electron-Phonon Interaction in Metals (North-Holland Publishing Company, Amsterdam 1980).
  8. J. M. Ziman, Electrons and Phonons (Clarendon Oxford, 1960).
  9. B. D. Bartolo and P. C. Richard, Phonon and Resonance in Solid (John Wiley & Sons, New York, 1976).
  10. C. Kittel, Quantum Theory of Solids (John Wiley & Sons, New York, 1987).
  11. B. F. Blackwell, An Introduction to Heat Conduction in Anisotropic Medium (Sandia Lab., New Mexico, 1969) p. 75.
  12. Y. Y. Zhou, J. C. Li, and L. Y. Zhou, Proc. SPIE 3862, 358 (1999).

1999 (2)

Y. Y. Zhou, L. Y. Zhou, and R. L. Wang, Proc. SPIE 3863, 423 (1999).

Y. Y. Zhou, J. C. Li, and L. Y. Zhou, Proc. SPIE 3862, 358 (1999).

1963 (1)

M. Chester, Phys. Rev. 131, 2013 (1963).

1961 (1)

C. W. Ulbrich, Phys. Rev. 123, 2001 (1961).

Chester, M.

M. Chester, Phys. Rev. 131, 2013 (1963).

Li, J. C.

Y. Y. Zhou, J. C. Li, and L. Y. Zhou, Proc. SPIE 3862, 358 (1999).

Ulbrich, C. W.

C. W. Ulbrich, Phys. Rev. 123, 2001 (1961).

Wang, R. L.

Y. Y. Zhou, L. Y. Zhou, and R. L. Wang, Proc. SPIE 3863, 423 (1999).

Zhou, L. Y.

Y. Y. Zhou, L. Y. Zhou, and R. L. Wang, Proc. SPIE 3863, 423 (1999).

Y. Y. Zhou, J. C. Li, and L. Y. Zhou, Proc. SPIE 3862, 358 (1999).

Zhou, Y. Y.

Y. Y. Zhou, L. Y. Zhou, and R. L. Wang, Proc. SPIE 3863, 423 (1999).

Y. Y. Zhou, J. C. Li, and L. Y. Zhou, Proc. SPIE 3862, 358 (1999).

Phys. Rev. (2)

M. Chester, Phys. Rev. 131, 2013 (1963).

C. W. Ulbrich, Phys. Rev. 123, 2001 (1961).

Proc. SPIE (2)

Y. Y. Zhou, L. Y. Zhou, and R. L. Wang, Proc. SPIE 3863, 423 (1999).

Y. Y. Zhou, J. C. Li, and L. Y. Zhou, Proc. SPIE 3862, 358 (1999).

Other (8)

H. Haken, Quantum Field Theory of Solid (North- Holland Publishing Company, Amsterdam, 1976) p. 232.

G. Grimrall, The Electron-Phonon Interaction in Metals (North-Holland Publishing Company, Amsterdam 1980).

J. M. Ziman, Electrons and Phonons (Clarendon Oxford, 1960).

B. D. Bartolo and P. C. Richard, Phonon and Resonance in Solid (John Wiley & Sons, New York, 1976).

C. Kittel, Quantum Theory of Solids (John Wiley & Sons, New York, 1987).

B. F. Blackwell, An Introduction to Heat Conduction in Anisotropic Medium (Sandia Lab., New Mexico, 1969) p. 75.

J. F. Ready, Effects of High-Power Laser Radiation (Academic Press, New York, 1971).

M. V. Allmen, Laser-Beam Interaction with Materials, Physical Principles and Application (Spring-Verlag, Berlin 1987).

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