Fractal tracer distributions in turbulent field theories

J. Lundbek Hansen; Tomas Bohr

doi:10.1016/S0167-2789(98)00003-7

Fractal tracer distributions in turbulent field theories

J. Lundbek Hansen, Tomas Bohr

Department of Physics

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

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 language	English
Journal	Physica D: Nonlinear Phenomena
Volume	118
Issue number	1-2
Pages (from-to)	40-48
ISSN	0167-2789
DOIs	https://doi.org/10.1016/S0167-2789(98)00003-7
Publication status	Published - 1998

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10.1016/S0167-2789(98)00003-7

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abstract = "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. ",

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AU - Hansen, J. Lundbek

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AB - 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.

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DO - 10.1016/S0167-2789(98)00003-7

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EP - 48

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

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ER -

Fractal tracer distributions in turbulent field theories

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