Heat flux calculation in the semi-collisionless regime for substantial temperature variations including magnetic field

Details Heat flux calculation in the semi-collisionless regime for substantial temperature variations including magnetic field Heat flux calculation in the semi-collisionless regime for substantial temperature variations including magnetic field

Apr 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006njph....8...56f&link_type=abstract

New Journal of Physics, Volume 8, Issue 4, pp. 56 (2006).

Physics

2

Scientific paper

In the first part of the paper, we extend the hydrodynamic approach to improve the accuracy of heat transport calculations without a magnetic field. A new parameter and the corresponding evolution equation are introduced into the regular hydrodynamic model to describe the evolution of the electron distribution tail. The self-consistent E-field is found from the zero current condition. The resulting model is relatively easy to implement and shows a good agreement with kinetic simulations for up to kλei < 0.3. In the second part of the paper, we exploit the fact that the distribution function is close to the Maxwellian and solve the kinetic equation this time including the B-field. The resulting approximate solution allows us to find the expression for the heat flux across a B-field in the integral form. To simplify the flux calculation, we drop the ambipolar field term but include two normalization constants (whose values are defined against Fokker Planck simulations) that account for the E-field effects and the B-field impact on the nonlocal E-field. This semi-analytical approach closely recovers the results of heat transport kinetic simulations in a wide range of collisionality and magnetization providing the way to account for the nonlocal transport across a magnetic field in existing hydrocodes.

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