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The thermal spectrum of relic gravitational waves causes the new amplitudethat called `modified amplitude'. Our analysis shows that, there exist somechances for detection of the thermal spectrum in addition to the usual spectrumby Adv.LIGO data of GW150914 and detector based on the maser light (Dml). Thebehavior of the inflation and reheating stages are often known as power lawexpansion like $ S(\eta)\propto \eta^{1+\beta}$, $S(\eta)\propto\eta^{1+\beta_s}$ respectively. The $\beta$ and $\beta_s$ have an unique effecton the shape of the spectrum. We find some upper bounds on the $\beta$ and$\beta_s$ by comparison the usual and the thermal spectrum with the Adv.LIGOand Dml. As this result modifies our information about the nature of theevolution of inflation and reheating stages.

Detection relic gravitational waves in thermal case by using Adv.LIGO data of GW150914