Articles written in Indian Academy of Sciences Conference Series
Volume 1 Issue 1 December 2017 pp 145-155 Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016
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.
Volume 1 Issue 1 December 2017 pp 213-220 Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016
In this paper we explore the possibility of localization in the dynamics of walking droplets on a vertically vibrated liquid surface in the presence of a chaotic external potential and the limit of low memory, i.e., considering the effect of the wave generated only in the last bounce. Taking into account the similarity existing between this macroscopic system and de Broglie’s pilot wave theory, this study aims at establishing manifestations of chaos in the latter theory.