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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.