Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session U25: Pattern Formation, Chaos, Nonlinear Dynamics I
2:30 PM–5:30 PM,
Thursday, March 5, 2020
Room: 402
Sponsoring
Unit:
GSNP
Chair: Michel Pleimling
Abstract: U25.00015 : Phase Synchronization in 2D Kuramoto Model
View Presentation
Abstract
Presenter:
Mrinal Sarkar
(Indian Inst of Tech-Madras)
Authors:
Mrinal Sarkar
(Indian Inst of Tech-Madras)
Neelima M Gupte
(Indian Inst of Tech-Madras)
The system exhibits a phase transition from stochastic synchronization to de-synchronization as temperature varies. We investigate the nature of the phase transition and calculate the critical temperature numerically. The relaxation dynamics is also studied. In the low-temperature regime, the system relaxes to equilibrium algebraically whereas, at high temperature, the decay is exponential. Moreover, the system, at very low temperature belongs to the EW universality class yielding the dynamic exponent z=2 [4].
[1] Hong H, Park H and Choi M Y 2005 Phys. Rev. E 72 036217
[2] Lee T E, Tam H, Refael G, Rogers L and Cross M C 2010 Phys. Rev. E 82 036202
[3] Witthaut D and Timme M 2014 Phys. Rev. E 90 032917
[4] Forrest B M and Tang L-H 1990 J. Stat. Phys. 60 1-2
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