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Material line fluctuations slaved to bulk correlations in two-dimensional turbulence

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  • Odijk, Theo

Abstract

An analogy is pointed out between a polymer chain fluctuating in a two-dimensional nematic background and a freely floating material line buffeted by a two-dimensional turbulent fluid in the inertial (Kraichnan) regime. Under certain conditions, the back-reaction of the line on the turbulent flow may be neglected. The fractal exponent related to the size–contour relation of the material line is connected to a “nematic” correlation function in the bulk.

Suggested Citation

  • Odijk, Theo, 2017. "Material line fluctuations slaved to bulk correlations in two-dimensional turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 180-183.
  • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:180-183
    DOI: 10.1016/j.physa.2016.10.047
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