Analysis of three nonlinear effects in a continuum approach to heat transport in nanosystems

A. Sellitto; V. A. Cimmelli; D. Jou

doi:https://doi.org/10.1016/j.physd.2012.04.008

Analysis of three nonlinear effects in a continuum approach to heat transport in nanosystems

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

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

26 Citations (Scopus)

Abstract

Nonlinear effects may be especially relevant in heat transport at the nanoscale, because small temperature differences divided by minute lengths may yield very high temperature gradients. Here we discuss such effects using a generalized heat-transport equation, whose nonlinear terms are explored in three situations of potential practical interest, namely: length dependence of the thermal conductivity of carbon nanotubes, heat rectification in troncoconical nanowires, and anomalies in the temperature profile in radial heat transport in thin layers or graphene sheets. Their thermodynamic aspects are also discussed. © 2012 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1344-1350
Journal	Physica D: Nonlinear Phenomena
Volume	241
DOIs	https://doi.org/10.1016/j.physd.2012.04.008
Publication status	Published - 15 Aug 2012

Keywords

Effective thermal conductivity
Generalized heat-transport equation
Heat rectification
Nonlinear effects
Temperature hump

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abstract = "Nonlinear effects may be especially relevant in heat transport at the nanoscale, because small temperature differences divided by minute lengths may yield very high temperature gradients. Here we discuss such effects using a generalized heat-transport equation, whose nonlinear terms are explored in three situations of potential practical interest, namely: length dependence of the thermal conductivity of carbon nanotubes, heat rectification in troncoconical nanowires, and anomalies in the temperature profile in radial heat transport in thin layers or graphene sheets. Their thermodynamic aspects are also discussed. {\textcopyright} 2012 Elsevier B.V. All rights reserved.",

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AU - Sellitto, A.

AU - Cimmelli, V. A.

AU - Jou, D.

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AB - Nonlinear effects may be especially relevant in heat transport at the nanoscale, because small temperature differences divided by minute lengths may yield very high temperature gradients. Here we discuss such effects using a generalized heat-transport equation, whose nonlinear terms are explored in three situations of potential practical interest, namely: length dependence of the thermal conductivity of carbon nanotubes, heat rectification in troncoconical nanowires, and anomalies in the temperature profile in radial heat transport in thin layers or graphene sheets. Their thermodynamic aspects are also discussed. © 2012 Elsevier B.V. All rights reserved.

KW - Effective thermal conductivity

KW - Generalized heat-transport equation

KW - Heat rectification

KW - Nonlinear effects

KW - Temperature hump

U2 - https://doi.org/10.1016/j.physd.2012.04.008

DO - https://doi.org/10.1016/j.physd.2012.04.008

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EP - 1350

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

ER -