Abstract
In this study, we derived the grand partition function and some thermodynamical quantities of the nucleus in the high temperature limit by adopting the ideal Fermi gas partition function of generalized Tsallis thermostatistics. The behaviour of number of neutron and internal energy are depicted as a function of temperature. Sensitivity of q entropy index to the number neutron are also analyzed.
Highlights
A nonextensive entropy definition was proposed in 1988 [1] by Tsallis, ∑ Sq = −k − W i=1 −q piq, q ∈R (1)where k is a positive constant, pi is the probability of the system in the i th microstate, W is the total number of the configurations of the system and q is any real number
It has been understood that extensive BG statistics fails to study nonextensive physical systems not having these conditions
In another study related with the ideal gases [24] the ideal gases partition function, internal energy and number of particles for both q < 1 and q > 1 are derived using the transformations obtained from the gamma function representations at high and low temperature limit
Summary
In another study related with the ideal gases [24] the ideal gases partition function, internal energy and number of particles for both q < 1 and q > 1 are derived using the transformations obtained from the gamma function representations at high and low temperature limit. The grand canonical exact generalized partition function was given for arbitrary values of the entrpic index q, and ensuing statistics was derived. We obtained the grand partition function and related thermodynamical quantities at high temperature for the nucleus which is considered as a fermi gas.
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