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The initial conditions in the chemical non-equilibrated medium and Bjorkenexpanding medium at RHIC are determined. With a set of rate equationsdescribing the chemical equilibration of quarks and gluons based onperturbative QCD, we investigate the consequence for parton evolution at RHIC.With considering parton evolution, it is shown that the Debye screening massand the inverse mean free-path of gluons reduce with increasing proper time inthe QGP medium. The parton evolution affects the parton energy loss withdetailed balance, both parton energy loss from stimulated emission in thechemical non-equilibrated expanding medium and in Bjorken expanding medium arelinear dependent on the propagating distance rather than square dependent inthe static medium. The energy absorption can not be neglected at intermediatejet energies and small propagating distance of the energetic parton in contrastwith that it is important only at intermediate jet energy in the static medium.This will increase the energy and propagating distance dependence of the partonenergy loss and will affect the shape of suppression of moderately high P_Thadron spectra.

Evolution Effects on Parton Energy Loss with Detailed Balance