Hydrodynamic signatures in thermal transport in devices based on two-dimensional materials: An 
<i>ab initio</i>
 study

Raya-Moreno, Martí; Carrete, Jesús; Cartoixà, Xavier

doi:10.1103/physrevb.106.014308

Cited by 4 publications

(6 citation statements)

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“…The other edges of ribbon are assumed to be adiabatic. For comparison, the transverse geometry is depicted in figure 1(b), which has been investigated in [28][29][30][31]. The present vicinity geometry is distinguished from the transverse geometry where the cold source and hot source are located at the bottom edge and the top edge, respectively.…”

Section: Resultsmentioning

confidence: 99%

“…In samples with a peculiar geometry of edges and heat sources, nontrivial whirlpool structure can appear, similar to that in classical fluid flow. Yet phonon vorticity has been studied only in specific configurations in few recent works [28][29][30][31]. Taking into account the quadratic dispersion of flexural phonons, Shang et al derived a linearized steady-state hydrodynamic model for 2D materials, similar to Guyer-Krumhansl (G-K) equation, and theoretically predicted heat current whirlpools in graphene ribbon with transverse geometry [28].…”

Section: Introductionmentioning

confidence: 99%

“…Based on the phonon BTE with the Callaway's model, Zhang et al found the heat current whirlpools can appear in both quasiballistic and hydrodynamic regimes in two-dimensional porous materials [30]. Raya-Moreno et al investigated hydrodynamic signatures in graphene with transverse geometry by energy-based deviational Monte Carlo solution of BTE with a linearized ab initio scattering term [31]. They found that heat current whirlpools occur even at room temperature due to the interaction with horizontal edges.…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal phonon thermal transport in graphene in hydrodynamic regime

Luo,

Guo,

2023

J. Phys.: Condens. Matter

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The hydrodynamic behavior of phonons is of particular interest and importance owing to the strong demand for highly thermal conductive materials. Thermal transport in hydrodynamic regime becomes essentially nonlocal, which can give rise to a number of new and counterintuitive phenomena. In this work, we present a direct numerical study of nonlocal phonon thermal transport in graphene ribbon with vicinity geometry based on the phonon Boltzmann transport equation with first-principles inputs. We demonstrate the viscosity-dominated hydrodynamic transport behaviors with two abnormal thermal transport phenomena: heat current whirlpools and negative nonlocal effect, which originate from phonon viscosity. Phonon viscosity produces the vorticity of shear flows, leading to the backflow of the heat current and the generation of negative nonlocal vicinity response. The system average temperature and the ribbon width as well as the relative positions of the heat sources play a pivotal role in the occurrence of heat current whirlpools and negative nonlocal temperature response. The present work provides solid evidence for phonon hydrodynamic transport in graphene and a potential avenue for experimental detection in the future.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlocal phonon thermal transport in graphene in hydrodynamic regime

Luo,

Guo,

2023

J. Phys.: Condens. Matter

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“…Therefore, our phonon hydrodynamics can be seen as a non-linear generalization of the (linear) Guyer-Krumhansl equation [13]. Dynamics of thermal vorticity based on solutions of the phonon kinetic theory was already observed in [19,20], but here we also formulate the corresponding phonon hydrodynamics.…”

Section: Introductionmentioning

confidence: 89%

“…The terms that depend on ω make the equations Galilean invariant, unlike the usual Maxwell-Cattaneo-Vernotte or Guyer-Krumhansl equations [13,17]. Although evidence for the presence of thermal vorticity in heat transport is provided by kinetic theory [18][19][20], standard phonon hydrodynamics can not correctly propagate such vortices because it lacks convective terms [13,16]. Such terms are lost in the usual linearized Chapman-Enskog reduction, while our approach (based on reduction of the underlying Poisson brackets) does not linearise the reversible evolution and thus recovers the convective terms In terms of field w, convective terms translate to vorticity-dependent terms.…”

Section: Introductionmentioning

confidence: 99%

Multiscale heat transport with inertia and thermal vortices

Sýkora,

Pavelka,

Restuccia

et al. 2023

Phys. Scr.

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In this paper, we present a Hamiltonian and thermodynamic theoryof heat transport on various levels of description. Transport of heat is formulatedwithin kinetic theory of polarized phonons, kinetic theory of unpolarized phonons,hydrodynamics of polarized phonons, and hydrodynamics of unpolarized phonons.These various levels of description are linked by Poisson reductions, where nolinearizations are made. Consequently, we obtain a new phonon hydrodynamics thatcontains convective terms dependent on vorticity of the heat flux, which are missingin the standard theories of phonon hydrodynamics. Within the zero-order Chapman-Enskog reduction, the resulting hydrodynamic equations are hyperbolic and Galileaninvariant, while the first Chapman-Enskog expansion gives additional viscous-liketerms. The vorticity-dependent terms violate the alignment of the heat flux withthe temperature gradient even in the stationary state, which is expressed by a Fourier-Crocco equation. Those terms also cause that temperature plays in heat transport asimilar role as pressure in aerodynamics, which is illustrated on numerical simulationsof flow past a cylinder. In particular, we show that the vorticity-dependent terms leadto a colder spot just behind the cylinder, and for high-enough Reynolds numbers theylead to the von Kármán vortex street.

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