• Dynamics, stability analysis and quantization of 𝛽-Fermi–Pasta–Ulam lattice

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/083/06/0925-0944

    • Keywords

       

      Phonon; Fermi–Pasta–Ulam lattice; Floquet theory; semiclassical quantization.

    • Abstract

       

      We study the well-known one-dimensional problem of 𝑁 particles with nonlinear interaction. The 𝛽-Fermi–Pasta–Ulam model is the special case of quadratic and quartic interaction potential among nearest neighbours. We enumerate and classify the simple periodic orbits for this system and find the stability zones, employing Floquet theory. We quantize the nonlinear normal modes and construct a wavefunction for what we believe is a primitive nonlinear analogue of a `phonon’.

    • Author Affiliations

       

      Rupali L Sonone1 Sudhir R Jain2

      1. Department of Physics, University of Pune, Pune 411 007, India
      2. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.