Synchronization of oscillators with long-range power law interactions
- Creators
- Chowdhury, Debanjan
- Cross, M. C.
Abstract
We present analytical calculations and numerical simulations for the synchronization of oscillators interacting via a long-range power law interaction on a one-dimensional lattice. We have identified the critical value of the power law exponent α_c across which a transition from a synchronized to an unsynchronized state takes place for a sufficiently strong but finite coupling strength in the large system limit. We find α_c=3/2. Frequency entrainment and phase ordering are discussed as a function of α≥1. The calculations are performed using an expansion about the aligned phase state (spin-wave approximation) and a coarse graining approach. We also generalize the spin-wave results to the d-dimensional problem.
Additional Information
© 2010 The American Physical Society. Received 25 March 2010; published 9 July 2010. We thank Gil Refael, Tony Lee and Hsin-hua Lai for interesting discussions. D.C. thanks the IIT Kanpur-Caltech MoU and the SURF program at Caltech for financial support.Attached Files
Published - Chowdhury2010p10870Phys_Rev_E.pdf
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Additional details
- Eprint ID
- 19263
- Resolver ID
- CaltechAUTHORS:20100803-145013910
- IIT Kanpur-Caltech MoU
- SURF program at Caltech
- Created
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2010-08-03Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field