Geometric effect on near-field heat transfer analysis using efficient graphene and nanotube models

Abstract

Following the recent research enthusiasm on the effect of geometry on near-field heat transfer (NFHT) enhancement, we present an analysis based on simplified yet highly efficient graphene and nanotube models. Two geometries are considered: that of two parallel infinite "graphene" surfaces and that of a one-dimensional infinite "nanotube" line in parallel with an infinite surface. Due to its symmetry, the former is in principal simpler to analyze and even so, earlier works suggested that the application of a full model in this problem still demands heavy computations. Among other findings, our simplified computation - having successfully replicated the results of relevant earlier works - suggests a sharper NFHT enhancement dependence on distance for the line-surface system, namely $J\sim d^{-5.1}$ as compared to $J\sim d^{-2.2}$ for the parallel surface. Such comparisons together with applications of our efficient approach would be the important first steps in the attempt to find a general rule describing geometric dependence of NFHT.

9 pages, 9 figures

References in corpus (8)

• The electronic properties of graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Graphene Plasmonics: Challenges and Opportunities
• Dynamical polarization of graphene at finite doping
• Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
• Ultrafast Radiative Heat Transfer
• Caroli formula in near-field heat transfer between parallel graphene sheets
• Coulomb force mediated heat transfer in the near field - geometric effect

Cited by in corpus (3)

• First-principles method to study near-field radiative heat transfer
• Non-equilibrium Green's function formalism for radiative heat transfer
• Generalized first-principles method to study near-field heat transfer mediated by Coulomb interaction