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

Khalili Golmankhaneh A., Welch K.

Modern Physics Letters A, cilt.36, sa.14, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 14
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0217732321400022
  • Dergi Adı: Modern Physics Letters A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: density of states in fractal, fractal anomalous diffusion, Fractal calculus, fractal Cantor tartan, fractal Langevin equation, fractal temperature
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.