• Anharmonic oscillator model for first order structural phase transition

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/014/05/0327-0341

    • Keywords

       

      Structural phase transition; anharmonic oscillator; soft mode; central peak

    • Abstract

       

      Exact solutions for the motion of a classical anharmonic oscillator in the potentialV(φ)=2 − |A|φ4 +6 are obtained in (1 + 1) dimensions. Instanton-like solutions in (imaginary time) which takes the particle from one maximum of the potential to the other are obtained in addition to the usual oscillatory solutions. The energy dependence of the frequencies of oscillation is discussed in detail. This can be used as a model for the first order structural phase transition in the mean field approximation. The high and low temperature behaviour of the static susceptibility is obtained. Finally, a qualitative explanation is offered for the observed central peak in ferroelectrics like SrTiO2.

    • Author Affiliations

       

      Avinash Khare1 S N Behera1

      1. Institute of Physics, A/105, Saheed Nagar, Bhubaneswar - 751 007, 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.