Airy distribution: Experiment, large deviations, and additional statistics
Tal Agranov, Pini Zilber, Naftali R. Smith, Tamir Admon, Yael Roichman, Baruch Meerson
Abstract
This work reports the first experimental measurements of this distribution by tracking the Brownian motion of colloidal particles. Unexpected connections between the Airy distribution and large-deviation formalisms of non-equilibrium statistical mechanics are found. Finally, a particle position distribution, conditioned on a given area, is studied, and two novel dynamical phase transitions are uncovered.
Topics & Concepts
Statistical physicsBrownian motionDistribution (mathematics)Position (finance)Statistical mechanicsLarge deviations theoryRotation formalisms in three dimensionsWork (physics)Classical mechanicsPhysicsMathematicsStatisticsMathematical analysisQuantum mechanicsGeometryFinanceEconomicsAdvanced Thermodynamics and Statistical MechanicsMaterial Dynamics and PropertiesStatistical Mechanics and Entropy