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Fluctuation Theorem for Particle Flows with Momentum Transfer.

Wood, Van den Broeck, Kawai, Lindenberg, PRE, 2007.

Over the past 15 years fluctuation and work theorems describing, for example, the entropy production during an experiment involving non-equilibrium steady states have been proven in a number different contexts.  In this work, we derive an exact analytical expression for the entropy production during effusion of an ideal gas driven by momentum, energy, and particle transfer.  The result demonstrates in an analytically tractable setting the applicability of fluctuation theorems to particle flows and, by extension, to hydrodynamic systems. 

Synchronization, Phase Transitions, and Universality in Noisy Coupled Oscillators

Wood, Van den Broeck, Kawai, Lindenberg.  PRL, 2006 (Universality).

Wood, Van den Broeck, Kawai, Lindenberg.  PRE, 2006 (Universality).

Wood, Van den Broeck, Kawai, Lindenberg.  PRE, 2007 (Disorder).

Wood, Van den Broeck, Kawai, Lindenberg.  PRE, 2007 (Continuous and Discontinuous Transitions).

Wood, Van den Broeck, Kawai, Lindenberg.  AIP Proc, 2007 (Overview).

Synchronization is among the most widely studied phenomena in all of statistical physics, owing in part to the ubiquity with which it occurs in nature (here is one cool example). In this series of studies, we developed a novel class of models for phase synchronization by considering oscillators with discrete phases.  The goal of the work was to provide a comprehensive analysis of phase synchronization in discrete phase systems.  Perhaps the most striking result is that phase transitions in these systems, which serve as prototypes of transitions far from equilibrium, exhibit qualitative and quantitative similarities with a class of purely equilibrium phase transitions.

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Noise Induced Order in Spatially Extended Systems

Wood, Buceta, Lindenberg, PRE, 2006 (Patterns).

Buceta, Wood, Lindenberg, PRE, 2006 (Temporal Oscillations).

Cao, Wood, Lindenberg, PRE, 2007 (Gaussian Approximation to Oscillations).

Noise is often considered a nuisance that disrupts the dynamics of complex systems.  However, over the last several decades, physicists have begun to understand and appreciate the constructive role noise can play in creating large-scale order in dynamical systems.  In this series of studies, we show how increasing stochasticity in a class of relaxational models can lead to the emergence of spatial and temporal order.  

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