Renormalization group approach to spontaneous stochasticity

We develop a theoretical approach to “spontaneous stochasticity” in classical dynamical systems that are nearly singular and weakly perturbed by noise. This phenomenon is associated with a breakdown in the uniqueness of solutions for fixed initial data and underlies many fundamental effects of turbu...

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Bibliographic Details
Main Authors: Gregory L. Eyink, Dmytro Bandak
Format: Article
Language:English
Published: American Physical Society 2020-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043161