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The Zubarev nonequilibrium statistical operator (NSO) method in Renyistatistics is discussed. The solution of $q$-parametrized Liouville equationwithin the NSO method is obtained. A statistical approach for a consistentdescription of reaction-diffusion processes in "gas-adsorbate-metal" system isproposed using the NSO method in Renyi statistics.

Zubarev nonequilibrium statistical operator method in Renyi statistics. Reaction-diffusion processes