Wilkinson, M.; Mehlig, B. and Gustavsson, K.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1209/0295-5075/89/50002|
|Google Scholar:||Look up in Google Scholar|
We obtain an implicit equation for the correlation dimension D2 of dynamical systems in terms of an integral over a propagator. We illustrate the utility of this approach by evaluating D2 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 D2 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.
|Item Type:||Journal Article|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
|Depositing User:||Michael Wilkinson|
|Date Deposited:||18 Aug 2010 14:10|
|Last Modified:||15 Jan 2016 14:49|
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