Generalized diffusion equation in statistics Renyi

  • Петро Костробій Lviv Polytechnic National University
  • Богдан Маркович Lviv Polytechnic National University
  • Олександра Візнович Lviv Polytechnic National University
  • Михайло Токарчук Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine
Keywords: generalized diffusion equation, nonequilibrium statistical operator, Renyi statistics, abnormal diffusion

Abstract

In the framework of Renyi statistics the generalized diffusion equation is obtained using nonequilibrium
statistical operator method by Zubarev. An averaging into generalized diffusion
coefficient is carried out by a power-law distribution with Reni parameter q. A numeric estimation
of q- diffusion coefficient in regimes q > 1 end q < 1 is performed.

Published
2019-02-12
How to Cite
Костробій, П., Маркович, Б., Візнович, О., & Токарчук, М. (2019). Generalized diffusion equation in statistics Renyi. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (21), 117-124. Retrieved from http://www.fmmit.lviv.ua/index.php/fmmit/article/view/97