Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: A review
Alireza Khalili Golmankhaneh, Kerri Welch
Abstract
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.
Topics & Concepts
FractalStatistical mechanicsPartition function (quantum field theory)PhysicsDifferentiable functionFractal derivativeStatistical physicsMultifractal systemFractal dimensionCalculus (dental)Fractal analysisMathematical analysisMathematicsQuantum mechanicsDentistryMedicineStatistical Mechanics and EntropyTheoretical and Computational PhysicsComplex Systems and Time Series Analysis