Condensed Matter Physics, 2014, vol. 17, No. 3, p. 33005:1-9
DOI:10.5488/CMP.17.33005

Title: Zubarev nonequilibrium statistical operator method in Renyi statistics. Reaction-diffusion processes
Author(s):
  P. Kostrobij (National University "Lviv Polytechnic", 12 Bandera St., 79013 Lviv, Ukraine) ,
  R. Tokarchuk (National University "Lviv Polytechnic", 12 Bandera St., 79013 Lviv, Ukraine) ,
  M. Tokarchuk (National University "Lviv Polytechnic", 12 Bandera St., 79013 Lviv, Ukraine; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine) ,
  B. Markiv (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine)

The Zubarev nonequilibrium statistical operator (NSO) method in Renyi statistics is discussed. The solution of q-parametrized Liouville equation within the NSO method is obtained. A statistical approach for a consistent description of reaction-diffusion processes in "gas-adsorbate-metal" system is proposed using the NSO method in Renyi statistics.

Key words: Renyi entropy, nonequilibrium statistical operator, chemical reaction
PACS: 05.45.-a, 82.20.-w


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