Nonequilibrium thermodynamics of a gas of solitons of kink type in quasione-dimensional systems

A kinetic equation for solitons of kink type in quasione-dimensional systems is constructed. Calculations and a comparative analysis are made for the $\Phi^4$ and sine-Gordon models. For both models, possible mechanisms of relaxation of the soliton gas to equilibrium are pointed out, and the temperature dependence of the transport coefficients is found.