• A new formalism for the statistical dynamics of planar spin systems

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      https://www.ias.ac.in/article/fulltext/pram/035/02/0115-0125

    • Keywords

       

      Relaxational dynamics; planar Heisenberg model; Fokker-Planck equation; mean field approximation; critical slowing-down

    • Abstract

       

      The relaxational dynamics of a classical planar Heisenberg spin system is studied using the Fokker-Planck equation. A new approach is introduced in which we attempt to directly calculate the eigenvalues of the Fokker-Planck operator. In this connection a number space representation is introduced, which enables us to visualize the eigenvalue structure of the Fokker-Planck operator. The mean field approximation is derived and a systematic method to improve the mean field approximation is presented.

    • Author Affiliations

       

      Kamlesh Kumari1 Deepak Kumar1 2

      1. Department of Physics, University of Roorkee, Roorkee - 247 667, India
      2. School of Physical Sciences, Jawaharlal Nehru University, New Delhi - 110 067, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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