Title: Statistical physics of spontaneous synchronization: Nonequilibrium aspects
Abstract:A remarkable phenomenon abound in nature is that of spontaneous synchronization, in which a large population of coupled oscillating units of diverse frequencies operate in unison. Such cooperative eff...A remarkable phenomenon abound in nature is that of spontaneous synchronization, in which a large population of coupled oscillating units of diverse frequencies operate in unison. Such cooperative effects occur in physical and biological systems pervading length and time scales of several orders of magnitude, e.g., flashing of fireflies, rhythmic applause in a concert hall, animal flocking behaviour, etc. Spontaneous synchronization has been traditionally studied from the perspective of nonlinear dynamical systems theory, while more recently, we have demonstrated the usefulness of a complementary approach using tools of statistical physics that allows to obtain insightful results in a number of representative dynamical settings [1]. This talk will focus on analysis of interacting many-body complex systems exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical physics. In the context of a paradigmatic model of spontaneous collective synchronization, the Kuramoto model, we will discuss how a statistical physics treatment yields exact and useful results on (i) static properties, e.g., a very rich phase diagram for the model in presence of thermal noise and additional non-local interactions on a one-dimensional periodic lattice [2], as well as (ii) dynamic properties, e.g., the autocorrelation of the order parameter in the nonequilibrium stationary state of the model [3]. References: [1] Shamik Gupta, Alessandro Campa and Stefano Ruffo, Statistical Physics of Synchronization(Springer-Verlag, Berlin, 2018). [2] Shamik Gupta, Spontaneous collective synchronization in the Kuramoto model with additionalnon-local interactions, J. Phys. A: Math. Theor. 50, 424001 (2017). [3] Debraj Das and Shamik Gupta, Exact correlations in the nonequilibrium stationary state of thenoisy Kuramoto model, J. Phys. A: Math. Theor. 51, 445003 (2018).Read More
Publication Year: 2019
Publication Date: 2019-04-11
Language: en
Type: article
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