Detection relic gravitational waves in thermal case by using Adv.LIGO
  data of GW150914
  The thermal spectrum of relic gravitational waves causes the new amplitude
that called `modified amplitude'. Our analysis shows that, there exist some
chances for detection of the thermal spectrum in addition to the usual spectrum
by Adv.LIGO data of GW150914 and detector based on the maser light (Dml). The
behavior of the inflation and reheating stages are often known as power law
expansion like $ S(\eta)\propto \eta^{1+\beta}$, $S(\eta)\propto
\eta^{1+\beta_s}$ respectively. The $\beta$ and $\beta_s$ have an unique effect
on 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.LIGO
and Dml. As this result modifies our information about the nature of the
evolution of inflation and reheating stages.
