Critical Dynamics of Thermal Conductivity at the Normal-Superconducting   Transition
  We study the effect of thermal fluctuations on the critical dynamics of the three-dimensional disordered superconductor across the normal-superconducting transition. We employ a phenomenological hydrodynamic approach, and in particular find the thermal conductivity to be smooth and non-singular at the transition. 
Smitha Vishveshwara, Matthew P. A. Fisher