Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 46, Issue 6, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/46/6/062002
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Funding
- NSF [DMS-0807396, DMS-1108780, CNS-0855217]
- [DFG-FOR1048]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [807396] Funding Source: National Science Foundation
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We address the question of 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 (2001 Phys. Rev. E 64 026306). 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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