Critical dynamics in mixtures near the plait point

Abstract

We calculate the critical behavior of the transport coefficients at the liquid-vapor critical (plait) point in a mixture. The dynamical equations without first sound reduce to the model H' of Siggia, Halperin and Hohenberg. We treat model H' within the field theoretic renormalization group theory. It is shown that the plait point belongs to the same universality class like the pure liquid and the consulate point. Asymptotically we find the thermal conductivity finite at T c , the mass difusion D goes to zero like t γ−x λν , the thermal diffusion ratio k T diverges like t -γ+x λν and the shear viscosity diverges like t -x ην . We also consider the non asymptotic behavior, which is important in the comparison with experiments.