The Airy distribution is measured in a colloidal experiment for the first time, and new large-deviation results including conditional position distributions and two third-order phase transitions are derived.
The optimal trajectory is x(t) = √ 2B T sin (πt T ) , (E14) where we set λ = π2/(2T 2) to obey the constraint B = ∫T 0 x2(t)dt
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The Airy distribution: experiment, large deviations and additional statistics
The Airy distribution is measured in a colloidal experiment for the first time, and new large-deviation results including conditional position distributions and two third-order phase transitions are derived.