Salman Ahamad Khan, Mohd Shahalam2025-12-122025978-93-6884-138-8http://136.232.12.194:4000/handle/123456789/1602Title of Book: Advances In Contemporary Physics High-Energy, Cosmology, and Soft Matter Dr. Syed Salman Ahmad WarsiThis chapter presents an introduction to the non-extensive statistical mechanics and its application in the high energy physics specially in the context of the matter created in the heavy ion collision experiments at RHIC (BNL) and LHC (CERN). The non-extensive Tsallis distribution function and the computation of various thermodynamical quantities in the non extensive framework have been defined. The fitting of the hadron transverse momentum using the power law distribution has been explained. Apart from that some transport and screening properties of non-extensive quark gluon plasma have also been discussed.en-USNATURAL SCIENCES::PhysicsBook chapter