Articles written in Indian Academy of Sciences Conference Series
Volume 1 Issue 1 December 2017 pp 109-115 Proceedings of the Conference on Perspectives in Nonlinear Dynamics - 2016
The nonlinear, forced oscillations of a bubble in a fluid due to an external pressure field are studied theoretically. In the presence of a constant charge on the bubble, the bubble oscillator’s behaviour changes markedly. We report results at significantly higher pressures and forcing frequencies than presented earlier. The influence of the bubble’s ambient radius on thresholds and dynamics is also reported. Charge and pressure thresholds are calculated for the system, delineating different dynamics.
Volume 2 All articles Published: 16 September 2019 Article ID 0003 Special
We review how coaxial carbon nanotubes (CNTs) and vesicular nanotubes exhibit nonlinear oscillations and how theoretical models match with experimental observations. In particular, we discuss how coaxial CNTs may be modelled by mechanical analogues with interactions mediated by nonlinear spring forces with weakening elastic constants in addition to a weak van der Waals-like interaction. The model’s predictions are in remarkable agreement with quantum mechanical calculations for the system. Predicted oscillatory frequencies are also in agreement with those reported in the literature. We then discuss our theoretical work on nanotubes in a biological system: Nanotubes that are drawn out from micrometre-scale vesicles and which exhibit very interesting dynamics.Our theoretical model reproduces all aspects of the force–extension curves reported in the experimental literature and completely explains the dynamics of vesicular nanotubulation and force fluctuations. The serrations seen inthe force–extension curves are explained to be a consequence of stick–slip dynamics.