Making thermodynamic functions of nanosystems intensive

摘要

The potential energy of interaction among particles in many systems is proportional to r(-alpha). In systems for which alpha < d, we encounter nonextensive (nonintensive) thermodynamic functions, where d is the space dimension. A scaling parameter, <(N)over tilde>, has been introduced to make the nonextensive ( nonintensive) thermodynamic functions of such systems extensive ( intensive). Our simulation results show that this parameter is not capable of making the thermodynamic functions of a nanosystem extensive ( intensive). Here we have presented a theoretical justification for (N) over tilde. Then we have generalized this scaling parameter to be capable of making the nonextensive ( nonintensive) thermodynamic functions of nanosystems extensive ( intensive). This generalized parameter is proportional to the potential energy per particle at zero temperature.