Seminars & Lectures
* TITLE | Excess grand potential for a system under an external field: effects of external field driven nonextensivity | ||||||
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* DATE / TIME | 2010-04-03, 2-3pm | ||||||
* PLACE | KIAS Rm 1423 | ||||||
* ABSTRACT | |||||||
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. |