https://doi.org/10.1140/epjp/s13360-022-02527-8
Regular Article
Ensemble fluctuations related to generalized (probability-dependent) entropies and their work fluctuation theorem
Department of Physics, División de Ciencias e Ingenierías, Universidad de Guananjuato, Loma del Bosque 103, 37150, León, Guanajuato, Mexico
Received:
30
December
2021
Accepted:
25
February
2022
Published online:
14
March
2022
The generalized theory of fluctuations corresponding to probability-dependent generalized entropies in the canonical and grand canonical ensembles is formulated. The entropies considered here depend on no other parameter than probability and were derived within the superstatistics approach. Since fluctuations can be expressed in terms of the thermodynamic heat capacity, these thermodynamic functions are sensitive to the non-extensive effects conferred by the new entropies. The differences in standard and generalized fluctuations are computed from the thermodynamics of Mie fluids from which the range dependence of generalized fluctuations is tested where it is shown that those differences are range-dependent. The work fluctuation theorem corresponding to these entropies is also established. Small deviations in the decaying behavior of the average of the ratio of work probabilities are observed, and the expressions for the generalized work theorem consistently converge to zero.
O. Obregón, J. Ríos-Padilla have contributed equally to this work.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
