Nonuniversal transition to condensate formation in two-dimensional turbulence

Moritz Linkmann, Manuel Hohmann, Bruno Eckhardt

Research output: Contribution to journalArticlepeer-review


The occurrence of system-scale coherent structures, so-called condensates, is awell-known phenomenon in two-dimensional turbulence and is a consequence of the inverse energy cascade – the energy transfer from small to large scales that is a characteristic of two-dimensional turbulence. Here, the onset of the inverse energy cascade and the ensuing condensate formation are investigated as a function of the magnitude of the force and for different types of forcing. Random forces with constant mean energy input lead to a supercritical transition, while forcing through a small-scale linear instability results in a subcritical transition with bistability and hysteresis. That is, the transition to two-dimensional turbulence is non-universal. For the supercritical case we quantify the effect of large-scale friction on the value of the critical exponent and the location of the critical point.
Original languageEnglish
Article numberA18
Number of pages13
JournalJournal of Fluid Mechanics
Early online date3 Apr 2020
Publication statusPublished - 10 Jun 2020


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