Nonlinear evolution and stability of the heat flow in nanosystems: Beyond linear phonon hydrodynamics

V. A. Cimmelli, A. Sellitto, D. Jou

Research output: Contribution to journalArticleResearchpeer-review

59 Citations (Scopus)

Abstract

A heat-transport equation incorporating nonlocal and nonlinear contributions of the heat flux is derived in the framework of weakly nonlocal nonequilibrium thermodynamics. The motivation for these terms arises from applications to nanosystems, where strong gradients are found, due to the small distance over which changes in temperature and heat flux take place. This equation generalizes to the nonlinear domain previous equations used in the context of phonon hydrodynamics. Compatibility with second law of thermodynamics is investigated and a comparison with the thermomass model of heat transport is carried out. The analogy between the equations describing the heat flow problem and the hydrodynamic equations is shown and the stability of the heat flow is analyzed in a special case. © 2010 The American Physical Society.
Original languageEnglish
Article number184302
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume82
DOIs
Publication statusPublished - 17 Nov 2010

Fingerprint Dive into the research topics of 'Nonlinear evolution and stability of the heat flow in nanosystems: Beyond linear phonon hydrodynamics'. Together they form a unique fingerprint.

  • Cite this

    Cimmelli, V. A., Sellitto, A., & Jou, D. (2010). Nonlinear evolution and stability of the heat flow in nanosystems: Beyond linear phonon hydrodynamics. Physical Review B - Condensed Matter and Materials Physics, 82, [184302]. https://doi.org/10.1103/PhysRevB.82.184302