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.
I will be teaching ME 6744 Chaos and Nonlinear Dynamics this spring term. Here is the course outline.
Congratulations to Kartik Subramanian who is the lead author on a paper published today in PLOS Computational Biology. Here are the details:
Subramanian, K., Paul, M.R., and Tyson, J.J., Dynamical Localization of DivL and PleC in the Asymmetric Division Cycle of Caulobacter crescentus: A Theoretical Investigation of Alternative Model, PLOS Computational Biology, 11, e1004348, (2015).
Congratulations to Christopher Mehrvarzi who is the lead author of a paper recently accepted for publication in Physical Review E. Here are the paper details:
C. O. Mehrvarzi and M. R. Paul, Front Propagation in a Chaotic Flow Field, to appear in Physical Review E, (2014).
Congratulations to Chris Mehrvarzi who successfully defended his Masters research today. The title of Chris’ thesis is “Active transport in chaotic Rayelgh-Benard Convection”.
Congratulations to Mu for passing his PhD preliminary exam this morning. The title of Mu’s presentation was:
Spatiotemporal chaos in large systems driven far-from-equilibrium: connecting theory with experiment.
An image of bioconvection in a large shallow layer was chosen for the Physical Review E Kaleidoscope. The image is shown below. For more details see Alireza’s paper:
Karimi and Paul, Bioconvection in spatially Extended Domains, Physical Review E, 87, 053016 (2013).