Pattern Formation and Dynamics in Nonequilibrium Systems

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A concluding section summarizes what has and has not been accomplished, and attempts to assess the prospects for the future. Pattern formation outside of equilibrium M. Cross and P. Hohenberg Rev. Abstract Authors See Also References.

Cross and Greenside: Pattern Formation and Dynamics in Nonequilibrium Systems

Abstract A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented, with emphasis on comparisons between theory and quantitative experiments. Thermal convection under external modulation of the driving force. The Lorenz model Guenter Ahlers, P. Hohenberg, and M. A 32 , Issue Vol. Authorization Required. Log In. Sign up to receive regular email alerts from Reviews of Modern Physics. Journal: Phys. X Rev. A Phys.

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  1. Take Years off Your Appearance.
  2. Nonlinear Dynamics and Pattern Formation – Overview.
  3. 1. Introduction.
  4. Pattern Formation and Dynamics in Nonequilibrium Systems.
  5. Pattern formation.

Fluids Phys. See F. Busse, Rept. Busse and N. Riahi, J. Fluid Mech. Proctor, J. Gertsberg and G. Sivashinsky, Prog. Platten and J. IX; H. Brand, P. Hohenberg and V. Steinberg, Phys. A30 , , and references therein.

Non-equilibrium dynamics

See the article by R. DiPrima and H. Swinney in Ref. See L. Landau and E.

Pattern formation in spatially forced thermal convection

Lifshitz, Mechanics, Ch. V, Pergamon, NY, Ciliberto and J. Gollub, Phys. Ezerskii, P. Korotin, and M. Suhl, J. Solids 1 , ; P. Gottlieb and H. Turing, Phil. B , 37 Newell and J.


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Whitehead, J. Segel, J. Ahlers, M. Cross, P. Hohenberg and S. Safran, J. See, for example, P. Coullet, S. Fauve and E. Tirapegui, J. Physique Lett. Benjamin and J. Feir, J. Pomeau and P. Manneville, J. Paris 42 , Cross and A.

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Newell, Physica 10D , Bolton, F. Busse and R. Clever, J. Winfree, Physica 12D , Howard and N. Kopell, Stud. Swift and P. Hohenberg, Phys. A15 , ; Y. Manneville, Phys. Kramer and P. Hohenberg, Physica 13D , Greenside and M.

Cross, Phys. A31 , Kramer, E. Ben-Jacob, H. Brand and M. Hohenberg, L. Kramer and H. Riecke, Physica 15D , Kuramoto, Prog. Kyoto Supp. Kyoto 71, ; b G.

Sivashinsky, Acta Astronautica 6 , Ahlers, D. Cannell and V. PubMed Google Scholar.