Heat vortex in hydrodynamic phonon transport of two-dimensional materials

Shang, Man-Yu; Zhang, Chuang; Guo, Zhaoli; Lü, Jing-Tao

doi:10.1038/s41598-020-65221-8

Cited by 34 publications

(50 citation statements)

References 86 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…τ R and τ N are the relaxation time of the R scattering and N scattering, respectively. v g is the value of group velocity, u is the drift velocity [42,18,48]. In this study, v g , C, τ R and τ N are constants.…”

Section: Phonon Btementioning

confidence: 97%

“…In order to well capture the transient heat propagation in different regimes, the phonon Boltzmann transport equation (BTE) is used and the complex phonon scattering term is simplified by the Callaway's dual relaxation time model [46,41,47,17,8]. The phonon dispersion is not accounted and the Debye model is used in the present study [42,18,48,49]. The temperature difference in the domain is assumed to be very small compared to the reference temperature T 0 , i.e., |T − T 0 | T 0 .…”

Section: Phonon Btementioning

confidence: 99%

“…The temperature difference in the domain is assumed to be very small compared to the reference temperature T 0 , i.e., |T − T 0 | T 0 . Under these simplifications, the phonon BTE can be written as [42,18,48,41,17,20]…”

Section: Phonon Btementioning

confidence: 99%

See 2 more Smart Citations

A novel transient heat conduction phenomenon to distinguish the hydrodynamic and (quasi) ballistic phonon transport

Zhang,

Guo

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Many studies have predicted the failure of Fourier's law of thermal conduction due to the existence of wave like propagation of heat. This non-Fourier thermal transport phenomenon can appear in both the hydrodynamic and (quasi) ballistic regimes. Hence, it is not easy to clearly distinguish these two non-Fourier regimes only by the wave like propagation of heat. In this work, the transient heat propagation in homogeneous thermal system is studied based on the phonon Boltzmann transport equation (BTE) under the Callaway model. Given a quasi-one or quasi-two dimensional thermal system with homogeneous environment temperature, at initial moment, a heat source is added suddenly at the center of the system with high temperature, then the heat propagates from the center to the outer. Numerical results show that in quasitwo dimensional thermal system, the transient temperature will be lower than the lowest value of initial temperature in the hydrodynamic regime within a certain range of time and space. This phenomenon appears only when the normal scattering dominates heat conduction. Besides, it disappears in quasi-one dimensional thermal system. Similar phenomenon is also observed in thermal system with time varying heat source. This peculiar heat propagation phenomenon of hydrodynamic phonon transport distinguishes it well from (quasi) ballistic phonon transport.

show abstract

Section: Phonon Btementioning

confidence: 97%

Section: Phonon Btementioning

confidence: 99%

See 1 more Smart Citation

A novel transient heat conduction phenomenon to distinguish the hydrodynamic and (quasi) ballistic phonon transport

Zhang,

Guo

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…This interesting phenomenon should also be considered in the thermal design of nanostructured 2D materials, such as graphene nanoribbons. [109]…”

Section: Theoretical Progressmentioning

confidence: 99%

Nanostructured and Heterostructured 2D Materials for Thermoelectrics

Li¹,

Hao

Zhu

et al. 2020

Eng. Sci.

View full text Add to dashboard Cite

The rapid development in the synthesis and device fabrication of 2D materials provides new opportunities for their wide applications in a variety of fields including thermoelectric energy conversion, thermal management, and thermal logics. As one important research direction, the possibly poor thermoelectric performance of the pristine 2D materials can be dramatically improved with patterned nanostructures, stacking of different 2Ds to form layered heterostructures, and electrostatic gating allowing fine-tuning of the quasi Fermi-level. This article reviews the recent advancement in this direction, with emphasis on both fundamental understanding and practical problems.

show abstract

“…Callaway's dual relaxation model [21] represents a good approximation to the full scattering term in the phonon Boltzmann equation [10,22] and has been widely adopted in analyzing heat transport in the hydrodynamic regime by analytical or semi-analytical methods [5,[23][24][25][26][27][28][29]. The direct solution of the phonon Boltzmann equation under Callaway's model has been advanced recently by a few numerical schemes including both deterministic methods [30,31] and stochastic ones [32,33].…”

Section: Introductionmentioning

confidence: 99%

Size effect on phonon hydrodynamics in graphite microstructures and nanostructures

et al. 2021

View full text Add to dashboard Cite

The understanding of hydrodynamic heat transport in finite-sized graphitic materials remains elusive due to the lack of an efficient methodology. In this paper, we develop a computational framework enabling an accurate description of heat transport in anisotropic graphite ribbons by a kinetic theory approach with full quantum mechanical first-principles input. A unified analysis of the size scaling of the thermal conductivity in the longitudinal and transverse directions of the system is made within the computational framework complemented with a macroscopic hydrodynamic approach. As a result, we demonstrate a strong end effect on the phonon Knudsen minimum, as a hallmark of the transition from ballistic to hydrodynamic heat transports, along a rectangular graphite ribbon with finite length and width. The phonon Knudsen minimum is found to take place only when the ribbon length is ∼5-10 times the upper limit of the width range in the hydrodynamic regime. This paper contributes to a unique methodology with high efficiency and a deeper understanding of the size effect on phonon hydrodynamics, which would open opportunities for its theoretical and experimental investigation in graphitic micro-and nanostructures.

show abstract

Heat vortex in hydrodynamic phonon transport of two-dimensional materials

Cited by 34 publications

References 86 publications

A novel transient heat conduction phenomenon to distinguish the hydrodynamic and (quasi) ballistic phonon transport

A novel transient heat conduction phenomenon to distinguish the hydrodynamic and (quasi) ballistic phonon transport

Nanostructured and Heterostructured 2D Materials for Thermoelectrics

Size effect on phonon hydrodynamics in graphite microstructures and nanostructures

Contact Info

Product

Resources

About