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Intrinsic localized modes and nonlinear impurity modes in curved Fermi-Pasta-Ulam chain

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Abstract

We explore the nature of intrinsic localized modes (ILMs) in a curved Fermi-Pasta-Ulam (FPU) chain and the effects of geometry and second-neighbor interaction on the localization and movability properties of such modes. We determine analytically the structure of the localized modes induced by an isotopic light-mass impurity in this chain. We further demonstrate that a nonlinear impurity mode may be treated as a bound state of an ILM with the impurity.

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Authors and Affiliations

  1. Department of Physics, University of Pune, Pune, 411 007, India

    Ranja Sarkar & Bishwajyoti Dey

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  1. Ranja Sarkar
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  2. Bishwajyoti Dey
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Correspondence to Bishwajyoti Dey.

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Sarkar, R., Dey, B. Intrinsic localized modes and nonlinear impurity modes in curved Fermi-Pasta-Ulam chain. Pramana - J Phys 70, 1023–1029 (2008). https://doi.org/10.1007/s12043-008-0106-0

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