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The late afterglow of gamma-ray burst is believed to be due to progressivedeceleration of the forward shock wave driven by the gamma-ray burst ejectapropagating in the interstellar medium. We study the dynamic effect ofinterstellar turbulence on shock wave propagation. It is shown that the shockwave decelerates more quickly than previously assumed without the turbulence.As an observational consequence, an earlier jet break will appear in the lightcurve of the forward shock wave. The scatter of the jet-corrected energyrelease for gamma-ray burst, inferred from the jet-break, may be partly due tothe physical uncertainties in the turbulence/shock wave interaction. Thisuncertainties also exist in two shell collisions in the well-known internalshock model proposed for gamma-ray burst prompt emission. The large scatters ofknown luminosity relations of gamma-ray burst may be intrinsic and thusgamma-ray burst is not a good standard candle. We also discuss the otherimplications.

Turbulence induced additional deceleration in relativistic shock wave propagation: implications for gamma-ray burst