Volume 82, Number 6, June 2008
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||04 June 2008|
Multiscale heat conduction near a disclination
Laboratoire d'Énergétique et de Mécanique Théorique et Appliquée, CNRS UMR 7563, Nancy Université 54506 Vandœuvre Cedex, France, EU
Corresponding author: firstname.lastname@example.org
Accepted: 29 April 2008
Microscopic defects in crystalline structure affect phonons transport and, at a macroscopic scale, heat propagation. Among them, disclinations defects change the topology by breaking the rotational symmetry in the material. Considering the Katanaev-Volovich metric for such defect description, the new phonon motion equation is derived near a disclination. Then, using the Boltzmann formalism to model phonon transport, a modified radiative transfer equation involving an effective refraction index that takes into account the disclination is introduced. The variations of the disclination index are discussed. Then, the corrections on heat flux that should be brought in such defected medium are exposed.
PACS: 61.72.Bb – Theories and models of crystal defects / 61.72.Lk – Linear defects: dislocations, disclinations / 65.40.-b – Thermal properties of crystalline solids
© EPLA, 2008
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