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Over two decades of pattern formation, a personal perspective

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25 Years of Non-Equilibrium Statistical Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 445))

Abstract

Patterns are ubiquitous in the world that surrounds us. They can form via bifurcations, for instance from the spatially uniform state, as a control parameter is varied. Their nature generally is determined by nonlinear terms in the relevant equations of motion, and thus their elucidation is a non-trivial goal in nonlinear physics. In the early 1970's, there was a revival of interest in the condensed-matter physics community in chaos and pattern formation in nonlinear dissipative systems. Experimentalists and theorists brought the tools of their field to bear on these challenging problems. Mostly in terms of his own experiences, the author of this paper reviews some of the issues that have been addressed, some of the techniques that have been applied, and some of the progress that has been made by experimentalists during the two-and-a-half decades since then, and the relationship which these results have to our present-day understanding of nonlinear systems.

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  1. Department of Physics and Center for Nonlinear Studies, University of California, 93106, Santa Barbara, CA

    Guenter Ahlers

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J. J. Brey J. Marro J. M. Rubí M. San Miguel

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Ahlers, G. (1995). Over two decades of pattern formation, a personal perspective. In: Brey, J.J., Marro, J., Rubí, J.M., San Miguel, M. (eds) 25 Years of Non-Equilibrium Statistical Mechanics. Lecture Notes in Physics, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59158-3_37

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