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Rate calculation in two-dimensional barriers with colored noise
conference contribution
posted on 2018-05-09, 08:36 authored by F. Revuelta, Thomas BartschThomas Bartsch, R.M. Benito, F. BorondoThe identification of an optimal dividing surface that is free of recrossings is the most important requirement
for transition state theory to be exact. This task is particularly difficult in the presence of non-Markovian
friction, i.e., colored noise forces. In this paper, we report a novel geometric method that circumvents the recrossing problem and is able to (i) identify reactive trajectories exactly, and (ii) compute reaction rates in a system with two degrees of freedom driven by non-Markovian friction. The extension of our method to higher dimensional
systems is also discussed.
Funding
The research leading these results has received funding from the Ministerio de Economia y Competitividad under Contract MTM2015-63914-P, ICMAT Severo Ochoa under SEV-2015-0554, and from the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 734557.
History
School
- Science
Department
- Mathematical Sciences
Published in
Pramana : Journal of PhysicsCitation
REVUELTA, F. ... et al, 2017. Rate calculation in two-dimensional barriers with colored noise. Indian Academy of Sciences Conference Series, 1 (1), pp.145-155.Publisher
© Indian Academy of SciencesVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2017-10-30Publication date
2017Notes
This paper is closed access. This paper was also presented at the Conference on Perspectives in Nonlinear Dynamics, Berlin, Germany, 24-29 July 2016.Publisher version
Language
- en