Nonextensive Reaction Rate

The Kramers' survival probability has been generalized by using nonextensive formalism. This nonextensive survival probability is studied in detail and associated Kramers' rate has been calculated in the high and low viscosity limit. It has been showed that the proportionality of nonextensive Kramers' rate to the nonextensive friction term in the high viscosity limit changes to inverse proportionality in the low viscosity limit. It has also been observed that friction constant of nonextensive processes is of rescaled form of the ordinary frictional term. Since the relation between the ordinary rate and nonextensive rate is found out to be linear, the Arrhenius nature of the Kramers' rate is preserved. By using experimental results related to CO rebinding to myoglobin after photodissociation, we conclude that nonextensivity plays an important role in protein reactions.