An application of non-extensive statistical mechanics to nanosystems

Based on the entropy formulation of Tsallis in the context of non-extensive statistical thermodynamics and the fundamental works of Hill on thermodynamics of small systems (nanothermodynamics), a connection between these two branches of thermodynamics has been made through the concept of subdivision potential in small systems. Statistical mechanical expressions for the subdivision potential, chemical potential and the partition function of small systems are derived, and the formalism for derivation of thermodynamic properties of small systems is introduced.