Electric currents and heat flow generated by solitons near critical layer in the inertial confinement fusion

Abstract

Solitons are generated by injecting energy provided by high power laser devices into a quiescent ICF plasma. The data obtained by laser fusion show a change δn_e in electronic density profile focused by ponderomotive force of laser radiation near the critical layer where w_p = w₀, w_p being the plasma frequency and w₀ the laser frequency. This change that has a structure of soliton type, becomes as a solution of a nonlinear Schrödinger equation (NLS), solved as an inverse problem by means of the inverse scattering transform with one eigenvalue invariant in time, and representative of wave eigenvector. Electrical currents are given in function of the above mentioned change in the density profile of electrons and an average velocity of such electrons corresponding to a nonmaxwellian electronic velocity distribution. The z component of heat flow is a consequence of electrical currents generated, the generalized electrical field to classical transport, and the generalized expression of vectorial heat flow developed by Haines.