Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals

Ballistic and diffusive transport of energy and heat in metals

We exploit a recently developed formalism to study the temporal behavior of the energy and heat transport in metals. This formalism shows the transition between ballistic and diffusive regimes and it highlights some interesting effects such as oscillations in the energy transport at very short-time scales. The energy relaxation of the conduction-band electrons in metals is considered to be gove...

Double diffusive reaction-convection in viscous fluid layer

In the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. Linear and nonlinear stability analysis have been performed. For linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated Fourier serie...

Ballistic versus diffusive transport in graphene

Mario F. Borunda,1,2,* H. Hennig,2 and Eric J. Heller2,3 1Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA (Received 9 April 2013; revised manuscript received 9 August 2013; publish...

Diffusive-ballistic crossover in 1D quantum walks.

We show that particle transport, as characterized by the equilibrium mean square displacement, in a uniform, quantum multibaker map, is generically ballistic in the long time limit, for any fixed value of Planck's constant. However, for fixed times, the semiclassical limit leads to diffusion. Random matrix theory provides explicit analytical predictions for the mean square displacement of a par...

Ballistic and Diffusive Thermal Conductivity of Graphene