Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Lee, Sangyeop; Lindsay, Lucas

doi:10.1103/physrevb.95.184304

Cited by 61 publications

(51 citation statements)

References 33 publications

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“…The present methodology is also available for modeling heat transport in other promising two-dimensional nanomaterials such as the molybdenum disulphide, boron nitride, and so on [25]. It is straightforward as well to generalize our approach to onedimensional [71] and three-dimensional [72] materials where the phonon collective effect is significant with potential new physics and more applications to be discovered in the future.…”

Section: Discussionmentioning

confidence: 99%

Heat transport in two-dimensional materials by directly solving the phonon Boltzmann equation under Callaway's dual relaxation model

Guo

Wang

2017

Phys. Rev. B

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The single mode relaxation time approximation has been demonstrated to greatly underestimate the lattice thermal conductivity of two-dimensional materials due to the collective effect of phonon normal scattering. Callaway's dual relaxation model represents a good approximation to the otherwise ab initio solution of the phonon Boltzmann equation. In this work we develop a discrete-ordinate-method (DOM) scheme for the numerical solution of the phonon Boltzmann equation under Callaway's model. Heat transport in a graphene ribbon with different geometries is modeled by our scheme, which produces results quite consistent with the available molecular dynamics, Monte Carlo simulations, and experimental measurements. Callaway's lattice thermal conductivity model with empirical boundary scattering rates is examined and shown to overestimate or underestimate the direct DOM solution. The length convergence of the lattice thermal conductivity of a rectangular graphene ribbon is explored and found to depend appreciably on the ribbon width, with a semiquantitative correlation provided between the convergence length and the width. Finally, we predict the existence of a phonon Knudsen minimum in a graphene ribbon only at a low system temperature and isotope concentration so that the average normal scattering rate is two orders of magnitude stronger than the intrinsic resistive one. The present work will promote not only the methodology for the solution of the phonon Boltzmann equation but also the theoretical modeling and experimental detection of hydrodynamic phonon transport in two-dimensional materials.

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Section: Discussionmentioning

confidence: 99%

Heat transport in two-dimensional materials by directly solving the phonon Boltzmann equation under Callaway's dual relaxation model

Guo

Wang

2017

Phys. Rev. B

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“…Different from the diffusive regime, the regime where N-scattering dominates other types of scattering processes is called hydrodynamic regime. The hydrodynamic phonon transport was recently predicted to be significant in graphitic materials including suspended graphene [7], [8], single-wall carbon nanotubes [9], and graphite [10].…”

Section: Introductionmentioning

confidence: 99%

Crossover of ballistic, hydrodynamic, and diffusive phonon transport in suspended graphene

Lee

2019

Phys. Rev. B

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Hydrodynamic phonon transport was recently predicted as an important regime for phonon transport in graphitic materials. Many of past studies on hydrodynamic phonon transport have focused on the cases where the hydrodynamic regime is significantly stronger than other regimes such that hydrodynamic features can be clearly observed. However, this often requires stringent conditions of temperature and sample size. In many cases, the transport cannot be characterized by a single regime, but the features of all three regimes -ballistic, hydrodynamic, and diffusive regimes -exist to some extent. Here we assess the extent of three regimes by comparing momentum destruction rates by three different mechanisms, each of which represents a different regime: diffuse boundary scattering without internal phonon scattering (ballistic regime), diffuse boundary scattering combined with normal scattering (hydrodynamic regime), and umklapp scattering (diffusive regime). We solve the Peierls-Boltzmann equation with an ab initio full scattering matrix using a deviational Monte Carlo method. We sample distribution functions of ballistic and scattered particles separately, and thereby compare the momentum destruction rates by the three different mechanisms. Using this framework, we discuss a well-known phenomenon of ballistic-to-hydrodynamic crossover, called phonon Knudsen minimum.

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“…The hydrodynamic regime recently received a renewed attention after first-principlesbased calculations predicted its significance in graphitic materials including graphene [5,6], single wall carbon nanotubes (SWCNTs) [7], and graphite [8]. These graphitic materials commonly share flexural phonon modes and large Debye temperature, both of which together lead to the significant hydrodynamic phonon transport [5].…”

Section: Introductionmentioning

confidence: 99%

Thermal Resistance by Transition Between Collective and Non-Collective Phonon Flows in Graphitic Materials

Lee

Guo

2019

Nanoscale and Microscale Thermophysical Engineering

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Phonons in graphitic materials exhibit strong normal scattering (N-scattering) compared to umklapp scattering (U-scattering). The strong N-scattering cause collective phonon flow, unlike the relatively common cases where U-scattering is dominant. If graphitic materials have finite size and contact with hot and cold reservoirs emitting phonons with non-collective distribution, Nscattering change the non-collective phonon flow to the collective phonon flow near the interface between graphitic material and a heat reservoir. We study the thermal resistance by N-scattering during the transition between non-collective and collective phonon flows. Our Monte Carlo solution of Peierls-Boltzmann transport equation shows that the N-scattering in graphitic materials reduce heat flux from the ballistic case by around 15%, 30%, and 40% at 100, 200, and 300 K, respectively. This is significantly larger than ~ 5% reduction of Debye crystal with similar Debye temperature (~ 2300 K). We associate the large reduction of heat flux by N-scattering with the non-linear dispersion and multiple phonon branches with different group velocities of graphitic materials.

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Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Cited by 61 publications

References 33 publications

Heat transport in two-dimensional materials by directly solving the phonon Boltzmann equation under Callaway's dual relaxation model

Heat transport in two-dimensional materials by directly solving the phonon Boltzmann equation under Callaway's dual relaxation model

Crossover of ballistic, hydrodynamic, and diffusive phonon transport in suspended graphene

Thermal Resistance by Transition Between Collective and Non-Collective Phonon Flows in Graphitic Materials

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