Eur. Phys. J. B 36, 555-565 (2003)
https://doi.org/10.1140/epjb/e2004-00011-7

Nonequilibrium statistical operator method: Generalized transport equations of diffusion-reaction processes

¹ State University “Lvivska Politekhnika”, 12 Bandera Str., Lviv, 79013, Ukraine
² Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., Lviv, 79011, Ukraine

Corresponding author: ^a mtok@ph.icmp.lviv.ua

Received: 4 September 2003
Published online: 30 January 2004

Abstract

Generalized transport equations for description of diffusion-reaction processes in chemically active mixtures are obtained. The nonequilibrium statistical operator method by Zubarev is used and both strong and weak nonequilibrium processes are analyzed. In the approximation of the second order in fluctuations we get generalized equations of chemical kinetics for bimolecular reactions with generalized rate constants. In the case of spatial uniformity the integro-differential equation for the matrix of partial scattering functions is received, which are related to partial dynamic structure factors of chemically reactive system by the time Fourier transformation.