Kinetic theory of the critical behavior of transport coefficients in many-component Bose systems

The dynamic spherical model introduced by Ma and Senbetu is investigated in the neighborhood of the critical point. Singular parts of the transport coefficients are calculated. The heat conductivity diverges as ${\tau }^{\frac{\mathrm{}(d-4\mathrm{})\mathrm{}}{\mathrm{}(d-2\mathrm{})\mathrm{}}}$ where $\tau$ is the reduced temperature and $d$ is the dimension of the space ($2<d<\mathrm{}4\mathrm{}$). The singular part of viscosity is proportional to $\tau$. The volume viscosity is zero.