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Rate calculation in two-dimensional barriers with colored noise

conference contribution
posted on 09.05.2018 by F. Revuelta, Thomas Bartsch, R.M. Benito, F. Borondo
The 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 Physics

Citation

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 Sciences

Version

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

30/10/2017

Publication date

2017

Notes

This paper is closed access. This paper was also presented at the Conference on Perspectives in Nonlinear Dynamics, Berlin, Germany, 24-29 July 2016.

Language

en

Exports