Nonequilibrium inhomogeneous steady state distribution in disordered, mean-field rotator systems
arXiv:1502.05559 · doi:10.1088/1742-5468/2015/05/P05011
Abstract
We present a novel method to compute the phase space distribution in the nonequilibrium stationary state of a wide class of mean-field systems involving rotators subject to quenched disordered external drive and dissipation. The method involves a series expansion of the stationary distribution in inverse of the damping coefficient; the expansion coefficients satisfy recursion relations whose solution requires computing a sparse matrix, making numerical evaluation simple and efficient. We illustrate our method for the paradigmatic Kuramoto model of spontaneous collective synchronization and for its two mode generalization, in presence of noise and inertia, and demonstrate an excellent agreement between simulations and theory for the phase space distribution.
arXiv commentContribution to the JStatMech Special Issue dedicated to the Galileo Galilei Institute, Florence Workshop "Advances in nonequilibrium statistical mechanics";v2: small changes, close to the published version
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- Surprises from quenches in long-range interacting systems: Temperature inversion and cooling
- Spontaneous synchronization and nonequilibrium statistical mechanics of coupled phase oscillators
- Spontaneous collective synchronization in the Kuramoto model with additional non-local interactions
- Dynamics of coupled oscillator systems in presence of a local potential