Our study of the dynamics of very small elastic beams in fluid has been published. Please see below for more details.
J. Barbish, C. Ti, K. L. Ekinci, and M. R. Paul, The dynamics of an externally driven nanoscale beam that is under high tension and immersed in a viscous fluid, Journal of Applied Physics (2022).
Paper on the Brownian fluctuations of a nanoscale elastic beam has been published in Nano Letters. The paper details are:
A. Ari, M. Selim Hanay, M. R. Paul, and K. L. Ekinci, Nanomechanical Measurement of the Brownian Force Noise in a Viscous Liquid, Nano Letters (2021).
A paper on spiral defect chaos has been published in Physical Review Fluids. The paper details are below:
E. Vitral, S. Mukherjee, P. H. Leo, J. Vinals, M. R. Paul, and Z-F. Huang, Spiral defect chaos in Rayleigh-Benard convection: Asymptotic and numerical studies of azimuthal flows induced by rotating spirals, Physical Review Fluids (2020).
Saikat Mukherjee is the lead author on a paper exploring front propagation that has been published in Physical Review E. More details are given below:
S. Mukherjee and M. R. Paul, Propagating Fronts in Fluids with Solutal Feedback, Physical Review E, 101, 032214, (2020).
A paper exploring the use of Lyapunov based diagnostics on the study of chaos in convection has been published in the journal Chaos. More details are given below:
R. Levanger, M. Xu, J. Cyranka, M. Schatz, K. Mischaikow, and M. R. Paul, Correlations between the leading Lyapunov vector and pattern defects for chaotic Rayleigh-Benard convection, Chaos, 29, 053103, (2019).
Saikat Mukherjee is the lead author on a paper exploring the complex dynamics of propagating fronts traveling through a convective flow field. The article has been published in Physical Review E and more information is given below:
S. Mukherjee and M. R. Paul, Velocity and geometry of propagating fronts in complex convective flow fields, Physical Review E, 99, 012213, (2019).
Mu Xu is the lead author on a paper exploring the chaotic convection in a container with sidewalls of finite thickness that has been published in Physical Review E. More details are given below:
M. Xu and M. R. Paul, Chaotic Rayleigh-Benard Convection with Finite Sidewalls, Physical Review E, 98, 012201, (2018).
Our paper on the use of ideas from persistent homology for large non equilibrium fluid systems has been published in Physica D. This is a large collaborative effort between my group at Virginia Tech, Mike Schatz’ group in the physics department at Georgia Tech, and Konstantin Mischaikow’s group in the match department at Rutgers University. The paper can be found here.
The image above is from a numerical simulation from my group of the spiral defect chaos state of Rayleigh-Benard convection in a large cylindrical domain. Color contours are shown of the temperature of the fluid where red is hot rising fluid and blue is cold falling fluid. The solid black line around the edges indicate the position of the lateral sidewalls of the convection domain.
Mu Xu is the lead author on the paper “Covariant Lyapunov vectors of chaotic Rayleigh-Benard convection” which has been published in Physical Review E. The paper can be found here.
Shown above is the spatial power spectrum of the covariant Lyapunov vectors for chaotic Rayleigh-Benard convection where q is the wavenumber and j is the index of the covariant Lyapunov vector. Color represent the magnitude of the power spectrum where red is large and blue in small.