Heating of inhomogeneous electron flow in the hydrodynamic regime

Zhang, Gu; Kachorovskii, V. Yu.; Tikhonov, Konstantin S.; Gornyi, I. V.

doi:10.1103/physrevb.104.075417

Cited by 6 publications

(3 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The temperature profile, compared to the dissipation power shown in Fig. 2(a), shows the y → −y asymmetry induced by the nonlinear character of the convection term in the heat-balance equation [48,57,58].…”

Section: A Small Heat Conductivitymentioning

confidence: 98%

“…Here, δT ≡ T − T 0 refers to the temperature variation with respect to the background temperature T 0 , κ is the heat conductivity, C the heat capacity, and γ denotes the electron-phonon coupling constant. The "convection" term, div(vT ) = (v • ∇)δT , which breaks the particlehole symmetry, is known to introduce an asymmetry in the temperature distribution [57,58]. Throughout this section, we consider the regular (no-stress-no-slip) velocity profile, i.e., Eq.…”

Section: Temperature Profilesmentioning

confidence: 99%

“…Because of the divergence of δT near the slit endpoints, the values are clipped at δT = TV /4 for better visibility. The temperature profile, compared to the dissipation power shown in Fig.2(a), shows the y → −y asymmetry induced by the nonlinear character of the convection term in the heat-balance equation[48,57,58].…”

mentioning

confidence: 98%

See 2 more Smart Citations

Viscous flow through a finite-width slit: Boundary conditions and dissipation

Asafov¹,

Kachorovskii²,

Tikhonov³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

We study the electronic transport through a finite-size slit in a barrier in a two-dimensional sample in the hydrodynamic regime. We assume a negligible disorder-induced Ohmic resistance, so that dissipation is purely viscosity-induced. We find that the only solution to the Stokes equation in this geometry, which yields a finite dissipation at finite resistance (and, hence, is not self-contradictory), is the one that fulfills both the no-stress and no-slip boundary conditions simultaneously. As a remarkable consequence, the obtained velocity profile satisfies the so-called "partial-slip" (Maxwell) boundary condition for any value of the slip length λ, which drops out from all final results. We also calculate the electronic temperature profile for the small and large heat conductivity, and find asymmetric (with respect to the barrier) temperature patterns in the former case.

show abstract

Section: A Small Heat Conductivitymentioning

confidence: 98%

Section: Temperature Profilesmentioning

confidence: 99%

See 1 more Smart Citation

Viscous flow through a finite-width slit: Boundary conditions and dissipation

Asafov¹,

Kachorovskii²,

Tikhonov³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Hydrodynamic approach to two-dimensional electron systems

Narozhny

2022

Riv. Nuovo Cim.

View full text Add to dashboard Cite

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the hydrodynamic flow of electrons, but also allows for a controlled derivation of the hydrodynamic equations on the basis of kinetic theory. The resulting hydrodynamic theory of electronic transport in graphene yields quantitative predictions for experimentally relevant quantities, e.g., viscosity, electrical conductivity, etc. Here I review recent theoretical advances in the field, compare the hydrodynamic theory of charge carriers in graphene with relativistic hydrodynamics and recent experiments, and discuss applications of hydrodynamic approach to novel materials beyond graphene.

show abstract