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S-PA meeting @ APCTP, Sept. 11th. 2024

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Stochastic resetting

[M. R. Evans and S. N. Majumdar, Phys. Rev. Lett. 106, 160601 (2011)]

 

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Fast relaxation time

[Rémi Goerlich, Tommer D. Keidar, Yael Roichman, arXiv:2401.09958 (2024)]

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Synchronization

phase space

synchronization

relevant systems

Heart cells

Neural networks

Power-grids

coupled oscillators

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Setup

All-to-all Kuramoto oscillators

 

 

 

 

 

 

Order parameter

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Two types of occurrence time

 

 

 

 

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Phase diagram

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Relaxation time

 

 

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Relaxation time

 

 

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Relaxation time

 

 

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Relaxation time

 

 

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Relaxation time

 

 

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Relaxation time

 

 

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Analysis

 

 

 

 

 

Alternative form of the equation of motion

Continuity equation of the distribution in the bare dynamics (without resetting)

 

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Analysis

 

 

 

 

Formalism for a renewal process

Order parameter in the thermodynamic limit

 

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Solvable case

 

 

 

 

 

 

 

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Exact result

 

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Critical behavior

 

 

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Shuffling with a fixed interval

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Experiment – Wien Bridge oscillator-network

 

 

 

Reshuffling

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Redistributing

Mean cross-Pearson correlation coefficient (mean CCC)