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

Khalili Golmankhaneh A., Welch K.

Modern Physics Letters A, vol.36, no.14, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 14
  • Publication Date: 2021
  • Doi Number: 10.1142/s0217732321400022
  • Journal Name: Modern Physics Letters A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Keywords: density of states in fractal, fractal anomalous diffusion, Fractal calculus, fractal Cantor tartan, fractal Langevin equation, fractal temperature
  • Van Yüzüncü Yıl University Affiliated: Yes

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.