Journal
EPL
Volume 89, Issue 5, Pages -Publisher
EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/89/50002
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Funding
- Goteborg University
- Vetenskapsradet
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We obtain an implicit equation for the correlation dimension D(2) of dynamical systems in terms of an integral over a propagator. We illustrate the utility of this approach by evaluating D(2) for inertial particles suspended in a random flow. In the limit where the correlation time of the flow field approaches zero, taking the short-time limit of the propagator enables D(2) to be determined from the solution of a partial differential equation. We develop the solution as a power series in a dimensionless parameter which represents the strength of inertial effects. Copyright (C) EPLA, 2010
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