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- Mark R. Paul, Michael C. Cross
- Physical review letters
- 2004

The stochastic response of nanoscale oscillators of arbitrary geometry immersed in a viscous fluid is studied. Using the fluctuation-dissipation theorem, it is shown that deterministic calculationsâ€¦ (More)

- Ali Karimi, Mark R. Paul
- Chaos
- 2010

We explore the high-dimensional chaotic dynamics of the Lorenz-96 model by computing the variation of the fractal dimension with system parameters. The Lorenz-96 model is a continuous in time andâ€¦ (More)

The stochastic dynamics of micron and nanoscale cantilevers immersed in a viscous fluid are quantified. Analytical results are presented for long slender cantilevers driven by Brownian noise. Theâ€¦ (More)

- K-H Chiam, Mark R. Paul, Michael C. Cross, Henry S. Greenside
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

We describe a numerical procedure to construct a modified velocity field that does not have any mean flow. Using this procedure, we present two results. First, we show that, in the absence of theâ€¦ (More)

- Ali Karimi, Mark R. Paul
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2013

We numerically explore gyrotactic bioconvection in large spatially extended domains of finite depth using parameter values from available experiments with the unicellular alga Chlamydomonas nivalis.â€¦ (More)

- Charles Lissandrello, Fatih Inci, M Francom, Mark R. Paul, Utkan Demirci, Kamil L. Ekinci
- Applied physics letters
- 2014

Nanomechanical motion of bacteria adhered to a chemically functionalized silicon surface is studied by means of a microcantilever. A non-specific binding agent is used to attach Escherichia coli (E.â€¦ (More)

- Mark R. Paul, Michael C. Cross, Paul F. Fischer, Henry S. Greenside
- Physical review letters
- 2001

The origin of the power-law decay measured in the power spectra of low Prandtl number Rayleigh-BÃ©nard convection near the onset of chaos is addressed using long time numerical simulations of theâ€¦ (More)

- Miroslav KramÃ¡r, Rachel Levanger, +5 authors Konstantin Mischaikow
- 2015

We use persistent homology to build a quantitative understanding of large complex systems that are driven far-fromequilibrium; in particular, we analyze image time series of flow field patterns fromâ€¦ (More)

We study the nonlinear dynamics of a tapping mode atomic force microscope with tip-surface interactions that include attractive, repulsive, and capillary force contributions using numericalâ€¦ (More)