The importance of electrothermal terms in Ohm's law for magnetized spherical implosions

Davies, J. R.; Betti, R.; Chang, P. -Y.; Fiksel, G.

doi:10.1063/1.4935286

Title: The importance of electrothermal terms in Ohm's law for magnetized spherical implosions

Journal Article · Fri Nov 06 00:00:00 EST 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4935286· OSTI ID:1228366

Davies, J. R. ^[1]; Betti, R. ^[1]; Chang, P. -Y. ^[1]; Fiksel, G. ^[1]

Univ. of Rochester, Rochester, NY (United States)

The magnetohydrodynamics (MHD) of magnetic-field compression in laser-driven spherical targets is considered. Magnetic-field evolution is cast in terms of an effective fluid velocity, a convective term resulting from resistivity gradients, a resistive diffusion term, and a source term. Effective velocity is the sum of fluid velocity, drift velocity, and heat-flux velocity, given by electron heat flux divided by electron enthalpy density, which has two components: the perpendicular or Nernst velocity and the cross-field velocity. The Nernst velocity compresses the magnetic field as a heat front moves into the gas. The cross-field velocity leads to dynamo generation of an azimuthal magnetic field. It is proposed that the heat-flux velocity should be flux limited using a “Nernst” flux limiter independent of the thermal flux limiter but should not exceed it. The addition of MHD routines to the 1-D, Lagrangian hydrocode LILAC and the Eulerian version of the 2-D hydrocode DRACO is described, and the codes are used to model a magnetized spherical compression on the OMEGA laser. Thermal flux limiting at a shock front is found to cause unphysical electron temperature gradients that lead to large, unphysical magnetic fields caused by the resistivity gradient, so thermal flux limiting in the gas is removed. The Nernst term reduces the benefits of magnetization in inertial fusion. In addition, a Nernst flux limiter ≤ 0.12 is required in the gas in order to agree with measured neutron yield and increases in the neutron-averaged ion temperature caused by magnetization. This corresponds to maintaining the Nernst velocity below the shock velocity, which prevents significant decoupling of the magnetic field and gas compression.

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Research Organization:: Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: NA0001944; FC02-04ER54789; FG02-04ER54786

OSTI ID:: 1228366

Alternate ID(s):: OSTI ID: 1225401

Journal Information:: Physics of Plasmas, Vol. 22, Issue 11; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 31 works

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Nernst thermomagnetic waves in magnetized high energy density plasmas Velikovich, A. L.; Giuliani, J. L.; Zalesak, S. T. Physics of Plasmas, Vol. 26, Issue 11 https://doi.org/10.1063/1.5122178	journal	November 2019
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