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Energy Distribution in a Neutral Gas of Point Vortices

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Abstract

An analytical formula for the energy distribution of a neutral gas of point vortices is obtained. Good agreement with the numerical results of Campbell and O'Neil is found.

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REFERENCES

  1. L.J. Campbell and K. O'Neil, Statistics of two-dimensional point vortices and high-energy vortex states, J. Stat. Phys. 65:495–529 (1991).

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  2. V. L. Berdichevsky, Thermodynamics of Chaos and Order (Longman, Addison Wesley, 1997), esp. Chapter IV.

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  3. V. L. Berdichevsky, Distribution of minimum values of weakly stochastic functionals, in: Homogenization, V. Berdichevsky, V. Jikov, and J. Papanicolaou, eds. (World Scientific, Singapore, 1999), pp. 140–185.

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Authors and Affiliations

  1. Ruhr-Universität Bochum, 44780, Bochum, Germany

    K. C. Le

  2. Wayne State University, Detroit, MI, 48202, USA

    V. L. Berdichevsky

Authors
  1. K. C. Le
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  2. V. L. Berdichevsky
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Le, K.C., Berdichevsky, V.L. Energy Distribution in a Neutral Gas of Point Vortices. Journal of Statistical Physics 104, 881–892 (2001). https://doi.org/10.1023/A:1010341024631

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  • DOI: https://doi.org/10.1023/A:1010341024631

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