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

DOI10.1142/S0217732321400022zbMath1467.82001OpenAlexW3121871743MaRDI QIDQ5006027

Kerri Welch, Alireza Khalili Golmankhaneh

Publication date: 12 August 2021

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732321400022

zbMATH Keywords

fractal calculusfractal anomalous diffusiondensity of states in fractalfractal Cantor tartanfractal Langevin equationfractal temperature

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Classical equilibrium statistical mechanics (general) (82B05) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (8)

Local Fractal Fourier Transform and Applications ⋮ General characteristics of a fractal Sturm–Liouville problem ⋮ Non-standard analysis for fractal calculus ⋮ Einstein field equations extended to fractal manifolds: a fractal perspective ⋮ Battery discharging model on fractal time sets ⋮ Electrical circuits involving fractal time ⋮ Diffusion processes in Brownian environments on disconnected selfsimilar fractal sets in \(\mathbb{R}\) ⋮ On a new generalized local fractal derivative operator

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