The change of the transport coefficient due to the fusion energy source isstudied. The scale invariance property of the reduced set of equations isinvestigated in the presence of the self-heating term due to the fusionreaction. The pressure gradient as well as the fusion power are the freeenergy sources that dictate the turbulent transport. It is shown that theburning transport coefficient can have a form with much wider variety, andthat the transport property could be different owing to the self-heating bythe fusion reactions.