Generalized Blackbody Radiation Law And Its Application

In this thesis, we introduce the proposition of non-extensive statistics and fractional theory and their application in black body radiation on the base of q-distributions in the frame work of Tsallisand factional calculus. The departure point of non-extensive thermodynamics is non-extensive entropy introduced by C.Tsallis, which inherits the most characters of BG entropy except for its non-extensivity. In 1975, B.B.Mandelbrot founded fractal geometry,which is the basis of fractal research and its application.At first, we introduce the basic theory of non-extensive statistical mechanics, properties of non-extensive entropy and fractal calculus.Then we calculate some physics quantities in photon gas by using non-extensive theory. After the calculation, we generalize the Planck distribution with non-extensive entropy and fractional calculus. Then fit a set of data from NASA COBE/FIRAS with the generalized distribution. By comparison, we conclude that the generalized distribution can fit the experimental data fromNASA COBE/FIRAS with a small Root Mean Square Error(RMSE).Finally it should be emphasized that for systems cannot be described by B-G entropy, it might be more adequate by using non-extensive thermodynamics and fractional calculus.