Nonequilibrium thermodynamics of autowave processes in a catalyst bed

A.P. Gerasev
G.K. Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, prosp. akad. Lavrenteva 5, Novosibirsk, 630090, Russian Federation

A new description of the nature of autowave processes in a static catalyst bed is reviewed by analyzing two kinds of autowaves, fast and slow heat waves. The thermodynamic description of physico-chemical processes is considered and the entropy balance equation is constructed and analyzed taking the quasi-homogeneous (basic) model of an immobile catalyst bed as an approximation. For slow heat waves, the extremal autowave solution functional (total entropy production in the system) is found and a variational formulation of the problem is given. A space-time dissipative structure (a fast heat wave) is shown to exist near the system’s thermodynamic equilibrium.

PACS: 05.45.−a, 05.70.Ln, 82.40.−g (all)
DOI: 10.1070/PU2004v047n10ABEH001770
URL: https://ufn.ru/en/articles/2004/10/b/
Web of Science

000226730200002
ADS NASA

2004PhyU...47..991G
Citation: Gerasev A P "Nonequilibrium thermodynamics of autowave processes in a catalyst bed" Phys. Usp. 47 991–1016 (2004)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Герасев А П «Неравновесная термодинамика автоволновых процессов в слое катализатора» УФН 174 1061–1087 (2004); DOI: 10.3367/UFNr.0174.200410b.1061

References (194) Cited by (12) Similar articles (20) ↓

D.V. Alexandrov, P.K. Galenko “Dendrite growth under forced convection: analysis methods and experimental tests” 57 771–786 (2014)
S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” 34 (3) 217–229 (1991)
L.M. Martyushev “Мaximum entropy production principle: history and current status” 64 558–583 (2021)
V.K. Vanag “Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions” 47 923–941 (2004)
V.I. Klyatskin “Clustering and diffusion of particles and passive tracer density in random hydrodynamic flows” 46 667–688 (2003)
M.A. Tsyganov, V.N. Biktashev et al “Waves in systems with cross-diffusion as a new class of nonlinear waves” 50 263–286 (2007)
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition” 53 357–372 (2010)
A.E. Hramov, N.S. Frolov et al “Functional networks of the brain: from connectivity restoration to dynamic integration” 64 584–616 (2021)
F.I. Ataullakhanov, V.I. Zarnitsyna et al “A new class of stopping self-sustained waves: a factor determining the spatial dynamics of blood coagulation” 45 619–636 (2002)
A.B. Medvinskii, S.V. Petrovskii et al “Spatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics” 45 27–57 (2002)
V.M. Zhdanov, V.I. Roldugin “Non-equilibrium thermodynamics and kinetic theory of rarefied gases” 41 349–378 (1998)
V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems” 54 441–464 (2011)
A.L. Virovlyansky, D.V. Makarov, S.V. Prants “Ray and wave chaos in underwater acoustic waveguides” 55 18–46 (2012)
S.V. Dmitriev, E.A. Korznikova et al “Discrete breathers in crystals” 59 446–461 (2016)
M.V. Kalashnik, M.V. Kurgansky, O.G. Chkhetiani “Baroclinic instability in geophysical fluid dynamics” 65 1039–1070 (2022)
A.M. Glezer, R.V. Sundeev et al “Physics of severe plastic deformation” 66 32–58 (2023)
A.V. Slunyaev, D.E. Pelinovsky, E.N. Pelinovsky “Rogue waves in the sea: observations, physics, and mathematics” 66 148–172 (2023)
A.N. Pisarchik, A.E. Hramov “Stochastic processes in the brain's neural network and their impact on perception and decision-making” 66 1224–1247 (2023)
V.S. Anishchenko, T.E. Vadivasova et al “Statistical properties of dynamical chaos” 48 151–166 (2005)
K.V. Koshel, S.V. Prants “Chaotic advection in the ocean” 49 1151–1178 (2006)

The list is formed automatically.