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On the equilibrium distribution of like-signed vortices in two dimensions

  • Igor Mezić
  • Inki Min
Kinetics And Statistics
Part of the Lecture Notes in Physics book series (LNP, volume 511)

Abstract

We study the equilibrium statistics for a system of point vortices of different circulations in two-dimensions. We use the methods of Lundgren and Pointin [2] who have analyzed this problem in the past for vortices of the same strength. This necessitates the development of the probability density functions for each of the vortices. We find a power-law relationship between the probability distributions of vortices with different circulations. These distributions are verified numerically.

Keywords

Probability Density Function Point Vortex Large Vortex Small Vortex Microcanonical Ensemble 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Igor Mezić
    • 1
  • Inki Min
    • 2
  1. 1.Department of Mechanical EngineeringUniversity of CaliforniaSanta BarbaraUSA
  2. 2.The Aerospace CorporationEl SegundoUSA

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