Refining Unified Colored-Noise Approximation (opens in new tab)

Countless biological and physical systems experience fluctuations that exhibit non-trivial temporal correlations. The Unified Colored-Noise Approximation (UCNA) is a framework providing an approximate description of such stochastic dynamics with colored noise, valid in the limits of vanishing and infinite correlation time of the noise. We first pinpoint and address some criticalities in its original derivation, recasting the result through a tim...