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The plasma sheath sets a stage for a strongly nonlinear coupling of thethermal, kinetic, and electric energies of plasma in a non-equilibrium, openenvironment. The pressure, velocity, and electrostatic potential profilesdepend strongly on the boundary condition given on the internal side(pre-sheath). By controlling the boundary values of the heat flux and the ionMach number, we solve a set of equations for the ion temperature and theelectrostatic potential. The boundary values of the ion velocity and theelectrostatic potential vary due to the change of the boundary ion temperature.When the heat flux exceeds a threshold value (determined by the ion Machnumber), the temperature contrast is enhanced, resulting in a large entropyproduction.

Enhanced entropy production in heat-flux-driven plasma sheath