Reviews of topical problems

Transport processes and traveling waves in systems with local nonequilibrium

Transport equations are studied for two types of media exhibiting properties of local nonequilibrium: media with thermal memory and media with a discrete structure. A hyperbolic transport equation that is a special case of these local-nonequilibrium equations is used for the analysis of traveling waves having high velocities. These waves have certain important properties: there can be a temperature discontinuity at the wave front; there exist thermal shock waves; the temperature at the wave front exceeds the equilibrium adiabatic value; there exist stationary autowave regimes in addition to those corresponding to the classical local-equilibrium case, and the velocities of these regimes are bounded by the velocity of propagation of a thermal signal. The approach developed here may be useful for the study of transport processes for short times or high fluxes in systems near critical points, in heterogeneous systems, and in other extremal situations.

PACS: 05.60.−k, 05.70.Ln (all)
DOI: 10.1070/PU1991v034n03ABEH002348
Citation: Sobolev S L "Transport processes and traveling waves in systems with local nonequilibrium" Sov. Phys. Usp. 34 (3) 217–229 (1991)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Соболев С Л «Процессы переноса и бегущие волны в локально-неравновесных системах» УФН 161 (3) 5–29 (1991); DOI: 10.3367/UFNr.0161.199103b.0005

Cited by (120) Similar articles (20) ↓

  1. A.V. Eletskii “Transport properties of carbon nanotubes52 209–224 (2009)
  2. V.A. Davydov, V.S. Zykov, A.S. Mikhailov “Kinematics of autowave structures in excitable media34 (8) 665–684 (1991)
  3. G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems60 705–730 (2017)
  4. V.K. Vanag “Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions47 923–941 (2004)
  5. A.P. Gerasev “Nonequilibrium thermodynamics of autowave processes in a catalyst bed47 991–1016 (2004)
  6. G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics37 961–989 (1994)
  7. A.I. Olemskoi, I.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems38 1061–1097 (1995)
  8. V.M. Zhdanov, V.I. Roldugin “Non-equilibrium thermodynamics and kinetic theory of rarefied gases41 349–378 (1998)
  9. V.K. Vanag “Study of spatially extended dynamical systems using probabilistic cellular automata42 413–434 (1999)
  10. A.I. Olemskoi “Supersymmetric field theory of a nonequilibrium stochastic system as applied to disordered heteropolymers44 479–513 (2001)
  11. A.M. Glezer, R.V. Sundeev et alPhysics of severe plastic deformation66 32–58 (2023)
  12. A.N. Volobuev “Fluid flow in tubes with elastic walls38 169–178 (1995)
  13. Yu.L. Klimontovich “Problems in the statistical theory of open systems: Criteria for the relative degree of order in self-organization processes32 416–433 (1989)
  14. Ya.S. Bobovich, A.V. Bortkevich “Resonance stimulated raman scattering in molecular systems having normal and inverted populations of electronic states14 1–20 (1971)
  15. F.G. Bass, Yu.G. Gurevich “Nonlinear theory of the propagation of electromagnetic waves in a Solid-state plasma and in a Gaseous discharge14 113–124 (1971)
  16. L.Kh. Ingel, M.V. Kalashnik “Nontrivial features in the hydrodynamics of seawater and other stratified solutions55 356–381 (2012)
  17. V.I. Klyatskin, V.I. Tatarskii “Diffusive random process approximation in certain nonstationary statistical problems of physics16 494–511 (1974)
  18. D.V. Alexandrov, P.K. Galenko “Dendrite growth under forced convection: analysis methods and experimental tests57 771–786 (2014)
  19. V.N. Ryzhov, E.E. Tareyeva et alBerezinskii—Kosterlitz—Thouless transition and two-dimensional melting60 857–885 (2017)
  20. L.M. Martyushev “Мaximum entropy production principle: history and current status64 558–583 (2021)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions