# Explicit Time-Dependent Entropy Production Expressions: Fractional and Fractal Pesin Relations

@article{SotolongoCosta2021ExplicitTE, title={Explicit Time-Dependent Entropy Production Expressions: Fractional and Fractal Pesin Relations}, author={O. Sotolongo-Costa and J. Weberszpil}, journal={Brazilian Journal of Physics}, year={2021}, pages={1-9} }

In this contribution, we present for the first time, explicit expressions for time-dependent entropy production, in the classical context. Here, we pursue the understanding of the time dependence of entropy by the approach of nonlocal fractional derivatives and also with local deformed derivatives. We claim that the entropy production depends on the dynamics and the geometry of the complex system considered. Some closed expressions for the entropy growth rate were obtained. We also give a… Expand

#### References

SHOWING 1-10 OF 44 REFERENCES

Nonextensive Pesin identity: exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map.

- Medicine, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2004

Generalized Maxwell Relations in Thermodynamics with Metric Derivatives

- Computer Science, Mathematics
- Entropy
- 2017