So I have to write a report paper for a course and I would like to prove that the q-Gaussian is the distribution which arises once one maximizes the Tsallis entropy.
But I face difficulties in proving it. Actually I am quite new to the field of Statistical Mechanics and not really familiar with the methods of going through a proof like that.
Could it be possible that someone providess a reference which provides the proof or show me how to actually maximize a distribution, so that I am able to start at least from that?
Thank you!