The observation that heat flux anomalies may be related to laser intensity with a threshold of ∼1 × 1014 W/cm2 suggests that hot electrons, which become significant for values of Iλ2 above this threshold, may be a factor in the observed reduction of thermal heat flow. A formulation of heat transport in plasmas with a two-component electron distribution is developed, and solutions are found that are valid in large gradients. Specific transport effects arising from the hot and cold electron interaction are demonstrated in sample calculations. It is found that when the interaction between the two electron groups is considered in conjunction with the properties of hot electron formation, many of the heat flow anomalies observed in experiments can be explained.