Generalized diffusion equation in statistics Renyi

Authors

  • 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.

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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 https://www.fmmit.lviv.ua/index.php/fmmit/article/view/97

Issue

No. 21 (2015): Physico-mathematical modeling and informational technologies, 2015, Issue 21

Section

Articles