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The dynamics of weakly magnetized collisionless plasmas in the presence of animposed temperature gradient along an ambient magnetic field is explored withparticle-in-cell simulations and modeling. Two thermal reservoirs at differenttemperatures drive an electron heat flux that destabilizes off-anglewhistler-type modes. The whistlers grow to large amplitude, $\delta B / B_{0}\simeq 1$, and resonantly scatter the electrons, significantly reducing theheat flux. A surprise is that the resulting steady state heat flux is largelyindependent of the thermal gradient. The rate of thermal conduction is insteadcontrolled by the finite propagation speed of the whistlers, which act asmobile scattering centers that convect the thermal energy of the hot reservoir.The results are relevant to thermal transport in high $\beta$ astrophysicalplasmas such as hot accretion flows and the intracluster medium of galaxyclusters.

Suppression of electron thermal conduction by whistler turbulence in a sustained thermal gradient