Fractal tracer distributions in turbulent field theories

J. Lundbek Hansen, Tomas Bohr

Research output: Contribution to journalJournal articleResearchpeer-review


We study the motion of passive tracers in a two-dimensional turbulent velocity field generated by the Kuramoto-Sivashinsky equation. By varying the direction of the velocity-vector with respect to the field-gradient we can continuously vary the two Lyapunov exponents for the particle motion and thereby find a regime in which the particle distribution is a strange attractor. We compare the Lyapunov dimension to the information dimension of actual particle distributions and show that there is good agreement with the Kaplan-Yorke conjecture. Similar phenomena have been observed experimentally. Copyright (C) 1998 Elsevier Science B.V.
Original languageEnglish
JournalPhysica D: Nonlinear Phenomena
Issue number1-2
Pages (from-to)40-48
Publication statusPublished - 1998

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