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Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism

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arxiv 1810.08175 v1 pith:4MIFS4LP submitted 2018-10-18 math.DS math.AP

Thomas Hudson , Xingjie Helen Li This is my paper · ORCID
classification math.DSmath.AP
keywords equationexampleformalismlangevinmori-zwanzigoverdampedappliedapproximate
verification ladder T0 review T1 audit T2 compute T3 formal

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The Mori-Zwanzig formalism is applied to derive an equation for the evolution of linear observables of the overdamped Langevin equation. To illustrate the resulting equation and its use in deriving approximate models, a particular benchmark example is studied both numerically and via a formal asymptotic expansion. The example considered demonstrates the important of memory effects in determining the correct temporal behaviour of such systems.

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