Excess grand potential for a system under an external field: effects of external field driven nonextensivity


Jaeyoung Sung (Dept. Chemistry, Chung-Ang University)

We report that an external field can drive inherently extensive systems into nonextensive ones. For the correct grand-canonical description of nonextensive systems, it is necessary to take into account the excess grand potential, , in addition to the conventional grand potential proportional to the thermodynamic pressure. We present the statistical mechanical expression for of a system as a functional of the external field imposed on the system, from which we establish the criterion for the external field that drives an inherently extensive macroscopic system into a nonextensive one. Time permitted, we will also discuss other topics such as a reaction event counting statistics for single molecule reactions, and the validity condition of Jarzynski's equality for quantum mechanical processes.