Theory of vortex crystal formation in two-dimensional turbulence

Dezhe Z. Jin, Daniel H.E. Dubin

Research output: Contribution to journalConference articlepeer-review

6 Scopus citations


Experiments on pure electron plasmas have found that the decay of two-dimensional (2D) turbulence can lead to spontaneous formation of "vortex crystals," which are symmetric arrays of strong vortices within a background of weaker vorticity. This paper presents a theory of these novel equilibrium states of 2D turbulence. The paper consists of two parts. In the first part, we show that the vortex crystals are well described as "regional" maximum fluid entropy (RMFE) states, which are equilibrium states reached through ergodic mixing of the background by the strong vortices. In the second part, a theory is advanced that allows us to predict from the initial conditions the approximate number of the strong vortices in the final state.

Original languageEnglish (US)
Pages (from-to)1719-1722
Number of pages4
JournalPhysics of Plasmas
Issue number5 II
StatePublished - May 2000
Event41st Annual Meeting of the Division of Plasma Physics of the Ameircan Physical Society - Seattle, WA, United States
Duration: Nov 15 1999Nov 19 1999

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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