Bulletin of the American Physical Society
Joint Fall 2009 Meeting of the Ohio Sections of the APS and AAPT
Volume 54, Number 9
Friday–Saturday, October 9–10, 2009; Delaware, Ohio
Session D1: Plenary Session II |
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Chair: Brad Trees, Ohio Wesleyan University Room: Hamilton-Williams Campus Center Benes Room B |
Saturday, October 10, 2009 10:00AM - 10:50AM |
D1.00001: Synchronization of Stochastically Coupled Oscillators: Dynamical Phase Transitions and Large Deviations Theory (or Birds and Frogs) Invited Speaker: Systems of oscillators coupled non-linearly (stochastically or not) are ubiquitous in nature and can explain many complex phenomena: coupled Josephson junction arrays, cardiac pacemaker cells, swarms or flocks of insects and birds, etc. They are know to have a non-trivial phase diagram, which includes chaotic, partially synchronized, and fully synchronized phases. A traditional model for this class of problems is the Kuramoto system of oscillators, which has been studied extensively for the last three decades. The model is a canonical example for non-equilibrium, dynamical phase transitions, so little understood in physics. From a stochastic analysis point of view, the transition is described by the large deviations principle, which offers little information on the scaling behavior near the critical point. I will discuss a special case of the model, which allows a rigorous analysis of the critical properties of the model, and reveals a new, anomalous scaling behavior in the vicinity of the critical point. [Preview Abstract] |
Saturday, October 10, 2009 10:50AM - 11:05AM |
D1.00002: BREAK
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Saturday, October 10, 2009 11:05AM - 11:55AM |
D1.00003: Collective Behavior of Coupled Chemical Oscillators Invited Speaker: We utilize a variant of the BZ chemical reaction to examine emergent phenomenon in sets of coupled oscillators. In many studies involving the BZ reaction, the reaction is performed either in a homogeneous solution or on a quasi-2D continuous medium. In contrast, biological systems are normally composed of discrete cellular oscillators. Here we introduce a discretized version of the BZ reaction. In this system, the catalyst for the reaction is immobilized on individual ion exchange particles; each particle is then capable of acting as an independent oscillator. Coupling between the oscillators can occur via either exchange with the surrounding solution or can be imposed using light based feedback. The results from a number of biologically inspired coupling scenarios are discussed. [Preview Abstract] |
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