Type
Article
Abstract
Persistent patterns in periodically driven dynamics have been reported in a wide variety of contexts ranging from table-top and ocean-scale fluid mixing systems to the weak quantum-classical transition in open Hamiltonian systems. We illustrate a common framework for the emergence of these patterns by considering a simple measure of structure maintenance provided by the average radius of the scalar distribution in transform space. Within this framework, scaling laws related to both the formation and persistence of patterns in phase space are presented. Further, preliminary results linking the scaling exponents associated with the persistent patterns to the multifractal nature of the advective phase-space geometry are shown.
Language
English
Department(s)
Physics and Astronomy
Journal or Book Title
Physical Review E
Publication Year
2009
DOI
10.1103/PhysRevE.79.066202
Publisher
American Physical Society
Rights Management
Carleton College does not own the copyright to this work and the work is available through the Carleton College Library following the original publisher policies regarding self-archiving. For more information on the copyright status of this work, refer to the current copyright holder.
RoMEO Color
Green
Preprint Archiving
Yes
Postprint Archiving
Yes
Publisher PDF Archiving
Yes
Paid OA Option
Yes
Contributing Organization
Carleton College
Format
application/pdf
Recommended Citation
Sundaram, Bala, Andrew C. Poje, and Arjendu K. Pattanayak., "Persistent patterns and multifractality in fluid mixing". Physical Review E, vol. 79, no. 6, 2009. Available at: https://doi.org/10.1103/PhysRevE.79.066202. . [Online]. Accessed via Faculty Work. Physics and Astronomy. Carleton Digital Commons. https://digitalcommons.carleton.edu/phys_faculty/12
The definitive version is available at https://doi.org/10.1103/PhysRevE.79.066202
