25 May 2004 Dynamics importance sampling for the activation problem in nonequilibrium continuous systems and maps
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Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004); doi: 10.1117/12.546889
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain
Abstract
A numerical approach based on dynamic importance sampling (DIMS) is introduced to investigate the activation problem in two-dimensional nonequilibrium systems. DIMS accelerates the simulations and allows the investigation to access noise intensities that were previously forbidden. A shift in the position of the escape path compared to a heteroclinic trajectory calculated in the limit of zero noise intensity is directly observed. A theory to account for such shifts is presented and shown to agree with the simulations for a wide range of noise intensities.
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Stefano Beri, Riccardo Mannella, Peter V. E. McClintock, "Dynamics importance sampling for the activation problem in nonequilibrium continuous systems and maps", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.546889; https://doi.org/10.1117/12.546889
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