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

2021 ◽  
pp. 2140002
Author(s):  
Alireza Khalili Golmankhaneh ◽  
Kerri Welch
Keyword(s):  
Partition Function ◽  
Statistical Mechanics ◽  
Fractal Structure ◽  
Equilibrium Statistical Mechanics ◽  
Fractal Calculus ◽  
Non Equilibrium

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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