  Thermal behaviour of superconductors with complex order parameter symmetry is
studied within a weak coupling theory. It is shown numerically, that the
thermal nature of the different components of complex order parametrs are
qualitatively different. Within the complex order parameter scenario, the
recent experimental observations by Krishna {\it et al.}, [Science {\bf 277},
83 (1997)] on magnetothermal conductivity and by J. Ma {\it et al.},
  [Science {\bf 267}, 862 (1995)] on temperature dependent gap anisotropy for
high temperature superconductors can have natural explanation.
