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Instanton filtering for the stochastic Burgers equation

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arxiv 1209.0905 v1 pith:GSOP6Y2P submitted 2012-09-05 physics.flu-dyn

Tobias Grafke , Rainer Grauer , Tobias Schäfer This is my paper · ORCID
classification physics.flu-dyn
keywords directinstantonburgersequationextractfilteringidentifymethod
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We address the question whether one can identify instantons in direct numerical simulations of the stochastically driven Burgers equation. For this purpose, we first solve the instanton equations using the Chernykh-Stepanov method [Phys. Rev. E 64, 026306 (2001)]. These results are then compared to direct numerical simulations by introducing a filtering technique to extract prescribed rare events from massive data sets of realizations. Using this approach we can extract the entire time history of the instanton evolution which allows us to identify the different phases predicted by the direct method of Chernykh and Stepanov with remarkable agreement.

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  1. The Quantum Mechanics of Rare Events: From Quantum Walks to Stochastic Inflation

    hep-th 2026-08 conditional novelty 5.0 of 10

    Rare fluctuations in quantum walks are ruled by a measurement-induced relative entropy, and applying this to stochastic inflation yields a steady state that violates detailed balance.

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