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Title: Kinetic theory of transport for inhomogeneous electron fluids

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Related Information: CHORUS Timestamp: 2018-01-05 10:06:11; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Lucas, Andrew, and Hartnoll, Sean A. Kinetic theory of transport for inhomogeneous electron fluids. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.045105.
Lucas, Andrew, & Hartnoll, Sean A. Kinetic theory of transport for inhomogeneous electron fluids. United States. doi:10.1103/PhysRevB.97.045105.
Lucas, Andrew, and Hartnoll, Sean A. Fri . "Kinetic theory of transport for inhomogeneous electron fluids". United States. doi:10.1103/PhysRevB.97.045105.
title = {Kinetic theory of transport for inhomogeneous electron fluids},
author = {Lucas, Andrew and Hartnoll, Sean A.},
abstractNote = {},
doi = {10.1103/PhysRevB.97.045105},
journal = {Physical Review B},
number = 4,
volume = 97,
place = {United States},
year = {Fri Jan 05 00:00:00 EST 2018},
month = {Fri Jan 05 00:00:00 EST 2018}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on January 5, 2019
Publisher's Accepted Manuscript

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  • Starting from the Fokker--Planck or Boltzmann type of linearized kinetic equation, and using a projection operator technique, a general evolution equation is derived for the hydrodynamical component of the distribution function with a renormalized collision operator providing extra dissipation mechanisms. Generalized Fourier and Newtonian laws are derived leading to nonlocal transport in time and space. Explicit evaluation of the transport coefficients is performed after a discussion of various truncation procedures. The results are applied to the study of dispersion and damping of sound in a rarefied one-component gas. A comparison with experimental results shows that a 14-moment approximation is verymore » satisfactory.« less
  • The stability of a magnetized inhomogeneous plasma with transverse inhomogeneous electric field is analyzed by using a kinetic formalism. It is found that for a smooth profile of the flow velocity, drift and ion-cyclotron waves are damped due to resonant interaction with ions. On the other hand, drift and drift-cyclotron kinetic instabilities modified by shear flow are excited by inverse electron Landau damping. A renormalized nonlinear dispersion equation, which accounts for random scattering of ions in the presence of the inhomogeneous transverse shear flow, is derived and applied to determine the saturation level of the drift-cyclotron instability in a plasmamore » with transverse shear flow.« less
  • It is shown that the conclusion of Mikhailenko and Mikhailenko that the inhomogeneous energy density driven instability does not exist is a consequence of the local approximation that they employ. The instability is nonlocal in character and requires a nonlocal treatment as shown in our earlier works.
  • The statement about the existence of the inhomogeneous energy density driven instability, claimed in the series of papers by Ganguli et al. is grounded on the invalid theory and misunderstanding of the experimental data.
  • A closed, macroscopic description of the dynamics of an assembly of electrons under the influence of space-time varying fields is presented. It is attained by considering the kinetic distribution function, f, to be a vector in a space whose coordinates are the infinite set of moments, (m{sub j}; 1, {hor ellipsis}, {infinity}). A distribution, f{sub M}{sup (k)}, is then defined by approximating the contribution from all but a finite set of coordinates (moments), (m{sub j}; j = 1, {hor ellipsis}, k). In the scale of resolution of the k moments, f{sub M}{sup (k)} is equivalent to f and can bemore » used to describe the dynamics of the assembly. Expressions for the f{sup (k)}{sub M} and the transport parameters are obtained for scales of resolution corresponding to density transport, energy relaxation, and momentum relaxation. Comparisons are presented between results obtained with this formulation and those obtained from a kinetic model.« less