Abstract
Following the original work by Anderson1, disorder-induced localization has been widely studied, but, more recently, attention was attracted on the possibility to localize energy in an homogeneous system due to nonlinear effects2. These intrinsic localized modes are fundamentally discrete and they have been extensively investigated in lattices of atoms which interact through an anharmonic potential. There is however another class of lattice models which are physically relevant for many applications when the site variables are coupled harmonically, and the nonlinearity is provided by an onsite potential. This case yields a set of linearly coupled nonlinear oscillator equations, which can be viewed as a discrete nonlinear Klein-Gordon equation. This situation is found for instance in models of dislocations, magnetic or ferroelectric domain walls and we have recently introduced such a model for DNA melting where the localization of energy is an essential phenomenon3.
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© 1994 Springer Science+Business Media New York
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Peyrard, M., Dauxois, T., Willis, C.R. (1994). Energy Localization in Nonlinear Lattices. In: Spatschek, K.H., Mertens, F.G. (eds) Nonlinear Coherent Structures in Physics and Biology. NATO ASI Series, vol 329. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1343-2_4
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DOI: https://doi.org/10.1007/978-1-4899-1343-2_4
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