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Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: A review

Journal

MODERN PHYSICS LETTERS A
Volume 36, Issue 14, Pages -

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732321400022

Keywords

Fractal calculus; fractal temperature; fractal anomalous diffusion; fractal Cantor tartan; fractal Langevin equation; density of states in fractal

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Fractal calculus extends ordinary calculus to handle domains and phenomena that are otherwise non-differentiable. This paper explores equilibrium and non-equilibrium statistical mechanics related to fractal structures, as well as the use of fractal temperature in the partition function.
Fractal calculus generalizes ordinary calculus, offering a way to differentiate otherwise non-differentiable domains and phenomena. This paper discusses the equilibrium and non-equilibrium statistical mechanics involving fractal structure, as well as fractal temperature in the partition function.

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