Enhanced fluctuations from electromagnetic heat flux instabilities in collisionless plasmas may, through wave-particle scattering, constrain the electron heat flux q e which flows parallel to the background magnetic field. This manuscript examines the linear Vlasov theory predictions for threshold conditions on the whistler heat flux instability at high β e , the electron beta, a situation which may have application to both solar wind and astrophysical plasmas. Theory predicts a threshold heat flux which scales approximately as β . One possible consequence of this instability is that it imposes an upper bound on q e . We discuss possible applications of such a heat flux limit in the cooling flows of clusters of galaxies with β e ≫ 1.
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Gary et al. (2000) studied this question.
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