173 citations · 607 across the 18 of their papers we have counts for
18 papers
Using Covariant Lyapunov Vectors to Quantify High Dimensional Chaos with a Conservation Law
Johnathon Barbish, Mark Paul
We explore the high dimensional chaos of a one-dimensional lattice of diffusively coupled tent maps using the covariant Lyapunov vectors (CLVs). We investigate the connection betwe…
The dynamics of an externally driven nanoscale beam that is under high tension and immersed in a viscous fluid
Johnathon Barbish, Chaoyang Ti, Kamil Ekinci +1
We explore the dynamics of a nanoscale doubly-clamped beam that is under high tension, immersed in a viscous fluid, and driven externally by a spatially varying drive force. We dev…
Nanomechanical Measurement of the Brownian Force Noise in a Viscous Liquid
Atakan B. Ari, M. Selim Hanay, Mark R. Paul +1
We study the spectral properties of the thermal force giving rise to the Brownian motion of a continuous mechanical system -- namely, a nanomechanical beam resonator -- in a viscou…
Spiral defect chaos in Rayleigh-Bénard convection: Asymptotic and numerical studies of azimuthal flows induced by rotating spirals
Eduardo Vitral, Saikat Mukherjee, Perry H. Leo +3
Rotating spiral patterns in Rayleigh-Bénard convection are known to induce azimuthal flows, which raises the question of how different neighboring spirals interact with each other…
Connecting Lyapunov Vectors with the Pattern Dynamics of Chaotic Rayleigh-Bénard Convection
Rachel Levanger, Mu Xu, Jacek Cyranka +3
We explore the chaotic dynamics of Rayleigh-Bénard convection using large-scale, parallel numerical simulations for experimentally accessible conditions. We quantify the connection…
DNA-Graphene Interactions During Translocation Through Nanogaps
Hiral N. Patel, Ian Carroll, Rodolfo Lopez +5
We study how double-stranded DNA translocates through graphene nanogaps. Nanogaps are fabricated with a novel capillary-force induced graphene nanogap formation technique. DNA tran…