Issue
EPL
Volume 82, Number 6, June 2008
Article Number 66003
Number of page(s) 6
Section Condensed Matter: Structural, Mechanical and Thermal Properties
DOI http://dx.doi.org/10.1209/0295-5075/82/66003
Published online 04 June 2008
EPL, 82 (2008) 66003
DOI: 10.1209/0295-5075/82/66003

Multiscale heat conduction near a disclination

S. Fumeron and D. Lacroix

Laboratoire d'Énergétique et de Mécanique Théorique et Appliquée, CNRS UMR 7563, Nancy Université 54506 Vandoeuvre Cedex, France, EU

sebastien.fumeron@lemta.uhp-nancy.fr

received 11 October 2007; accepted in final form 29 April 2008; published June 2008
published online 4 June 2008

Abstract
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