Seminars & Lectures
* TITLE | Nonlinear Waves in Complex Systems: essentials, problems, perspectives | ||||||
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* DATE / TIME | 2012-05-10, 11:00AM | ||||||
* PLACE | APCTP Headquarters, Pohang | ||||||
* ABSTRACT | |||||||
Wave dynamics is of central importance in many branches of science and applications. At the linear limit the properties of waves are fully defined by their amplitudes and phases. Nonlinear interactions between waves lead to a plethora of novel phenomena which drastically and qualitatively effect relaxation, conductivity, transmission, and coherence, among others. I will discuss the state of the art in the theoretical understanding of nonlinear waves by sampling the Fermi-Pasta-Ulam problem of equipartition in statistical physics, the localization of lattice waves into discrete breathers, the out-of-equilibrium ratcheting of wave energy, and the destruction of Anderson localization in disordered media by nonlinearity. I will briefly discuss applications such as light propagation, dynamics of ultracold atomic clouds, and Fano resonances in nanoscale structures. Surprisingly these ideas turn out to be useful also in computer science. I will demonstrate it using password encryption schemes as an example. |