Zubarev nonequilibrium statistical operator method in Renyi statistics. Reaction-diffusion processes
P. Kostrobij, R. Tokarchuk, M. Tokarchuk, B. Markiv

TL;DR
This paper extends the Zubarev nonequilibrium statistical operator method within Renyi statistics to analyze reaction-diffusion processes in complex systems, providing a new statistical framework for such nonequilibrium phenomena.
Contribution
It introduces a solution to the $q$-parametrized Liouville equation and applies the NSO method in Renyi statistics to reaction-diffusion systems, offering a novel approach for their description.
Findings
Derived the $q$-parametrized Liouville equation solution.
Proposed a statistical approach for reaction-diffusion processes.
Applied the method to gas-adsorbate-metal systems.
Abstract
The Zubarev nonequilibrium statistical operator (NSO) method in Renyi statistics is discussed. The solution of -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.
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