Time-fractional kinetic equation for the non-equilibrium processes

Aydıner E.

Scientific Reports, cilt.1, sa.1, ss.1-11, 2021 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1038/s41598-021-00135-7
  • Dergi Adı: Scientific Reports
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, BIOSIS, CAB Abstracts, Chemical Abstracts Core, EMBASE, MEDLINE, Veterinary Science Database, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1-11
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this study, we analytically formulated the path integral representation of the conditional probabilities for the non-equilibrium and non-Markovian kinetic processes in terms of the free energy of the thermodynamic system. We analytically obtain the time-fractional kinetic equations for these
processes. Additionally, we give an example to discuss the time-fractional kinetic equation for the
open probability depend on the Helmholtz free energy of the non-equilibrium and non-Markovian
channel system.