KINETIC EQUATION AND TRANSPORT COEFFICIENTS FOR KINK SOLITONS IN THE SINE-GORDON EQUATION

Abstract We construct a Boltzmann-type kinetic equation for sine-Gordon kinks with a kink-kink collision integral due to shifts in their coordinates. We calculate the entropy production in the kink gas due to the homogenization of the distribution function in coordinate space. Based on the derived kinetic equation, the coefficients of self-diffusion, intrinsic friction and thermal conductivity due to kink-kink collisions are calculated.