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    • Incompressible turbulence as non-local field theory

      Mahendra K Verma

      Volume 64 Issue 3 March 2005 pp 333-341

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/064/03/0333-0341

    • Keywords

       

      Turbulence; field theory; locality

    • Abstract

       

      It is well-known that incompressible turbulence is non-local in real space because sound speed is infinite in incompressible fluids. The equation in Fourier space indicates that it is non-local in Fourier space as well. However, the shell-to-shell energy transfer is local. Contrast this with Burgers equation which is local in real space. Note that the sound speed in Burgers equation is zero. In our presentation we will contrast these two equations using non-local field theory. Energy spectrum and renormalized parameters will be discussed.

    • Author Affiliations

       

      Mahendra K Verma1

      1. Department of Physics, Indian Institute of Technology, Kanpur - 208 016, India

    • Dates

       
      Published
      March 2005

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