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In the double-cone ignition scheme, compressed fuels in two head-on cones areejected to collide, forming a colliding plasma with an isochoric distributionfor rapid heating by high flux fast electrons from picosecond petawatt laserbeams in the perpendicular direction from the cone axis. In this work, weinvestigate the effects of quantum degeneracy on the transport of fastelectrons in the colliding plasma, which rapidly evolves from the quantumdegenerate in the outer region of the plasma to the classical state in theconcentric core region heated by the colliding fronts of the plasma jets. Withlarge scale particle-in-cell simulations, it is found that the self-generatedmagnetic field generated by the transport of fast electrons in the quantumdegenerate state at the outer region is much stronger than in the correspondingclassical state with the same fuel density in the core region. Theoreticalanalysis of the growth of the self-generated magnetic field is developed toexplain the simulation results. Such strong self-generated magnetic fields inthe quantum degenerate states can pinch the axially injected fast electrons todeposit their energy in the concentric core region, improving the heatingefficiency for fast ignition.

Pinch effect of self-generated magnetic fields in the quantum degenerate plasmas on the heating process of the double-cone ignition scheme