Mark Paul Associate Professor Department of Mechanical Engineering Virginia Tech mrp@vt.edu Affiliations: Department of Physics Department of Engineering Science and Mechanics Department of Computer Science The School of Biomedical Engineering and Applied Science Here is my cv.

 

• I am a co-organizer of the annual Fall Fluids Symposium at Virginia Tech which is now in its third year, see the Symposium website for more details. Co-organizers are Pavlos Vlachos and Mark Stremler.
• I have organized some sessions on fractals and chaos for middle school and high school students. All events were held at Virginia Tech. Here is more information:
  • The 2009 Women in Computing Day, here is what we did. Nearly 100 middle school girls attended, the program is run by Association for Women in Computing.
  • The 2009 C-Tech² program, here is what we did. Over 25 high school girls attended, the program is run by the Center for the Enhancement of Engineering Diversity (CEED).
  • The 2009 NASA Inspire program, here is what we did. Over 40 high school students attended, the program is run by the Center for the Enhancement of Engineering Diversity (CEED).
  • The 2009 Imagination program, here is what we did. Over 80 middle school students attended, the program is run by the Center for the Enhancement of Engineering Diversity (CEED).

Current Group Members

Postdocs
    Dr. Debashis Barik (co-advised with John Tyson and Bill Baumann)
    Dr. Sandip Kar (co-advised with John Tyson and Bill Baumann)

PhD Students
    Alireza Karimi
    Himanshu Tiwari
    Kartik Subramanian

Prior Group Members

PhD Students:
    Dr. Matthew Clark (PhD, 2008), currently a postdoc in the Chemical Engineering Department at the University of Virginia.
    Dr. Nastaran Hashemi (PhD, 2008), currently a post-doctoral researcher at the Naval Research Laboratory.
    Dr. Andrew Duggleby (PhD, 2006), currently Assistant Professor of Mechanical Engineering at Texas A&M University

Masters Students:
    Margarita Villa (MS, 2009), currently an engineer at Areva.
    Nicholas O'Connor (MS, 2008), currently an engineer at Freudenberg-NOK.
    Carlos Carvajal (MS, 2007), currently an engineer at Eastman Chemical Company
    Magnus Einarsson (MS, 2006), currently working in industry in Iceland

Undergraduate Students:
    John Bowen (undergraduate research, 2008-2009)
    Brian Pering (undergraduate research, 2009)
    Brnadon Holt (undergraduate research, 2009)
    Corbin Clawson (summer undergraduate research, 2006), currently a graduate student at University of California at San Diego

1. M.T. Clark, J.E. Sader, J.P. Cleveland, and M.R. Paul, The spectral properties of microcantilevers in viscous fluid, submitted (2009).
2. D. Barik, W.T. Baumann, M.R. Paul, B. Novak, and J.J. Tyson, A model of yeast cell cycle regulation based on multisite phosphorylation, submitted (2009).
3. A. Karimi, and M.R. Paul, Deviations from extensive chaos in the Lorenz-96 Model, submitted, (2009). (A preprint is available here.)
4. A. Duggleby and M.R. Paul, The consequences of finite-time proper orthogonal decomposition for an extensively chaotic flow field, submitted, (2009). (A preprint is available here.)
5. S. Misra, H. Dankowicz, and M.R. Paul, Degenerate discontinuity-induced bifurcations in tapping-mode atomic-force microscopy, to appear Physica D, (2010).
6. M.M. Villa and M.R. Paul, The stochastic dynamics of micron scale doubly-clamped beams in a viscous fluid, Physical Review E, 79, 056314, (2009) (pdf).
7. H. Dankowicz and M.R. Paul, Discontinuity-induced bifurcations in systems with hysteretic force interactions, Journal of Computational and Nonlinear Dynamics, 4 (2009).
8. S. Kar, W.T. Baumann, M.R. Paul, and J.J. Tyson, Exploring the Roles of Noise in the Eukaryotic Cell Cycle, Proceedings of the National Academy of Sciences, (2009). (Available here.)
9. N. Hashemi, M.R. Paul, H. Dankowicz, M. Lee, W. Jhe, The Dissipated Power in Atomic Force Microscopy due to Interactions with a Capillary Fluid Layer, Journal of Applied Physics, 104, 063518, (2008) (pdf).
10. D. Barik, M.R. Paul, W.T. Baumann, Y. Cao, and J.J. Tyson, Stochastic Simulation of Enzyme-Catalyzed Reactions with Disparate Time Scales, Biophysical Journal, 95, 3563-3574, (2008). (pdf)
11. M.T. Clark and M.R. Paul, The Stochastic Dynamics of Rectangular and V-shaped Atomic Force Microscope Cantilevers in a Viscous Fluid and Near a Solid Boundary, Journal of Applied Physics, 103, 094910, (2008) (pdf).
12. N. Hashemi, H. Dankowicz and M.R. Paul, The Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy with Capillary Force Interactions, Journal of Applied Physics, 103, 093512, (2008) (pdf).
13. S. Misra, H. Dankowicz, and M.R. Paul, Event-Driven Feedback Tracking and Control of Tapping-Mode Atomic Force Microscopy, Proceedings of the Royal Society A, 2095, 2113-2133, (2008) (pdf).
14. M.R. Paul, M.I. Einarsson, M.C. Cross and P.F. Fischer, Extensive Chaos in Rayleigh-Benard Convection, Physical Review E, 75, 045203, (2007) (pdf).
15. A. Duggleby, K.S. Ball, M.R. Paul, and P.F. Fischer, Dynamical Eigenfunction Decomposition of Turbulent Pipe Flow, Journal of Turbulence, 8, 43, 1-25, (2007). (pdf)
16. M.T. Clark and M.R. Paul, The Stochastic Dynamics of an Array of Atomic Force Microscopes in a Viscous Fluid, International Journal of Nonlinear Dynamics, 42, 690-696, (2006). (pdf)
17. A. Duggleby, K.S. Ball, and M.R. Paul, The effect of spanwise wall oscillation on turbulent pipe flow structures resulting in drag reduction, Physics of Fluids, 19, 125107, (2007). (pdf)
18. M.R. Paul, M.T. Clark, and M.C. Cross, The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation, Nanotechnology, 17, 4502-4513, (2006). (pdf)
19. J.E. Solomon and M.R. Paul, The Kinetics of Analyte Capture on Nanoscale Sensors, Biophysical Journal, 90, (2006). (pdf)
20. M.R. Paul, K.-H. Chiam, M.C. Cross, and P.F. Fischer, Rayleigh-Benard Convection in Large-Aspect-Ratio Domains, Physical Review Letters, 93, 064503-2, (2004). (pdf)
21. M.R. Paul and M.C. Cross, Stochastic Dynamics of Nanoscale Mechanical Oscillators Immersed in a Viscous Fluid, Physical Review Letters, 92, 235501, (2004). (pdf)
22. M.R. Paul and I. Catton, The Relaxation of Two-Dimensional Rolls in Rayleigh-Benard Convection, Physics of Fluids, 16, 1262, (2004). (pdf)
23. J.D. Scheel, M.R. Paul, M.C. Cross, and P.F. Fischer, Traveling Waves in Rotating Rayleigh-Benard Convection: Analysis of Modes and Mean Flow, Physical Review E, 68, 066216, (2003). (pdf)
24. M.R. Paul, K.-H. Chiam, M.C. Cross, P.F. Fischer, and H.S. Greenside, Pattern Formation and Dynamics in Rayleigh-Benard Convection: Numerical Simulations of Experimentally Realistic Geometries, Physica D, 184, 114-126, (2003). (pdf)
25. K.-H. Chiam, M. R. Paul, M. C. Cross, and H. S. Greenside, Mean flow and spiral defect chaos in Rayleigh-Benard convection, Physical Review E, 67, 056206, (2003). (pdf)
26. M.R. Paul, M. C. Cross, and P. F. Fischer, Rayleigh-Benard Convection with a Radial Ramp in Plate Separation, Physical Review E, 66, 046210 (2002). (pdf)
27. M. R. Paul, M. C. Cross, P. F. Fischer and H. S. Greenside, Power law behavior of power spectra in low Prandtl number Rayleigh-Benard convection, Physical Review Letters, 87, 154501-1, (2001). (pdf)
    
28. M.R. Paul, F. Issacci, I. Catton, and G.E. Apostolakis, Characterization of Smoke Particles Generated in Terrestrial and Microgravity Environments, Fire Safety Journal, 28, 233-252 (1997).
29. G.E. Apostolakis, I. Catton, F. Issacci, S. Jones, M.R. Paul, T. Paulos, and K. Paxton, Risk Based Fire Safety Experiments, Reliability Engineering and System Safety, 49, 275-291 (1995).

1. A. Duggleby and M.R. Paul, Exploring Extensive Chaos in Rayleigh-Benard convection using fractal and Karhunen-Loeve dimensions, XXII International Conference on Theoretical and Applied Mechanics, Adelaide, Australia, August, 25-29 (2008).
2. H. Dankowicz and M.R. Paul, Tapping at the Nanoscale: Discontinuity Induced Degeneracies in Atomic Force Microscopy, 9th Biennial ASME Conference on Engineering Systems Design and Analysis, Haifa, Israel, July 7-9 (2008).
3. N. Hashemi, M.R. Paul, and H. Dankowicz, Exploring the Basins of Attraction of Tapping Mode Atomic Force Microscopy with Capillary Force Interactions, ASME International Mechanical Engineering Congress and Exposition, Seattle, WA, November 11-15 (2007).
4. N. Hashemi, M.R. Paul, J. Alcazar, and R. Radovitzky, A Fully Lagrangian Numerical Method for Calculating the Dynamics of Oscillating Micro and Nanoscal Objects Immersed in Fluid, ASME International Mechanical Engineering Congress and Exposition, Seattle, WA, November 11-15 (2007).

1. M.R. Paul and J.E. Solomon, The Physics and Modeling of BioNEMS, in Nanodevices for Life Sciences, Wiley-VCH, (2006).
2. J.L. Arlett, M.R. Paul, J. Solomon, M.C. Cross, S.E. Fraser, and M.L. Roukes, Nanomechanical Devices for Single Molecule Biophysics, in Controlled Nanoscale Motion in Biological and Artificial Systems, Springer-Verlag, as part of Nobel Symposium 131 (2007). (pdf)
   

Selected Conference Presentations

1. C. Carvajal and M.R. Paul, The Fluid-Coupled Motion of Micro and Nanoscale Elastic Objects, American Physical Society Division of Fluid Dynamics Meeting, Salt Lake City, UT, 2007.
2. M.M. Smith, M.T. Clark, and M.R. Paul, Quantifying the Dynamics of Thermoelastically Driven Nanoscale Beams in Fluid, American Physical Society Division of Fluid Dynamics Meeting, Salt Lake City, UT, 2007.
3. M.T. Clark, and M.R. Paul, The Stochastic Dynamics of a Traingular Atomic Force Microscope Near a Solid Boundary, American Physical Society Division of Fluid Dynamics Meeting, Salt Lake City, UT, 2007.
4. N. OConnor, E. Knobloch, P.F. Fischer, and M.R. Paul, Numerical Simulations of Viscous Faraday Waves, American Physical Society Division of Fluid Dynamics Meeting, Salt Lake City, UT, 2007.
5. M. R. Paul and M. I. Einarsson, Extensive Chaos in Rayleigh-Benard Convection, Society of Industrial and Applied Mathematics Meeting on Applied Dynamical Systems, Snowbird UT, 2007.
6. A. Duggleby and M. R. Paul, A Karhunen-Loeve Decomposition of Spatiotemporal Chaos, Society of Industrial and Applied Mathematics Meeting on Applied Dynamical Systems, Snowbird UT, 2007.
7. N. Hashemi, M.R. Paul, and H. Dankowicz, Quantifying the Dynamics of Tapping Mode Atomic Force Microscopy, Society of Industrial and Applied Mathematics Meeting on Applied Dynamical Systems, Snowbird UT, 2007.
8. M. Smith M.T. Clark and M.R. Paul, Quantifying the Dynamics of Thermoelastically Driven Nanoscale Beams in Fluid Summer Undergraduate Research Program Symposium on Advanced Materials, Virginia Tech, 2007.
9. N. Hashemi, H. Dankowicz, and M.R. Paul, A Dynamical Systems Approach for Tapping Mode Atomic Force Microscopy, Virginia Tech Graduate Student Research Symposium, March 2007.
10. M.T. Clark and M.R. Paul, Exploiting the Stochastic Dynamics of Microscale Cantilevers for Single Molecule Measurements, American Physical Society Division of Fluid Dynamics Meeting, Tampa, FL, November 2006.
11. M.R. Paul and M.I. Einarsson, Extensive Chaos is Rayleigh-Benard Convection, American Physical Society Division of Fluid Dynamics Meeting, Tampa, FL, November 2006.
12. A. Williams, C. Clawson, M.R. Paul, and P. Vlachos, Laminar mixing via steady streaming - Using an active ionic polymer actuators, American Physical Society Annual March Meeting, Baltimore, MD, March 2006.
13. A. Duggleby, K. Ball and M.R. Paul, The mechanism of drag reduction in turbulent pipe flow with spanwise wall oscillation, American Physical Society Annual March Meeting, Baltimore, MD, March 2006.
14. K. Ball, A. Duggleby, and M.R. Paul, The dynamics of relaminarization in turbulent pipe flow, American Physical Society Annual March Meeting, Baltimore, MD, March 2006.
15. M. Clark and M.R. Paul, The Stochastic Dynamics of an Array of Atomic Force Microscope Cantilevers in a Viscous Fluid, American Physical Society Annual March Meeting, Baltimore, MD, March 2006.
16. M. Einarsson and M.R. Paul, Quantifying Spatiotemporal Chaos in Rayleigh-Benard Convection, American Physical Society Annual March Meeting, Baltimore, MD, March 2006.
17. N. Hashemi and M.R. Paul, A Numerical Investigation of the Non-Linear Interaction Forces in Tapping Mode Atomic Force Microscopy, American Physical Society Annual March Meeting, Baltimore, MD, March 2006.
18. M.R. Paul and M. Clark, The stochastic dynamics of micron and submicron scale mechanical oscillators, American Physical Society Annual March Meeting, Los Angeles, CA, March 2005.
19. J.D. Scheel, M.C. Cross, M.R. Paul, Lyapunov exponents for small aspect ratio Rayleigh-Benard convection, American Physical Society Annual March Meeting, Los Angeles, CA, March 2005.
20. M.R. Paul, J.D. Scheel and M.C. Cross, Quantifying Spatiotemporal Chaos, 57th Annual Meeting of the Division of Fluid Dynamics, APS, Seattle, WA, 21-23 November 2004.
21. M.R. Paul, K.-H. Chiam, M.C. Cross, and P.F. Fischer, Coarsening in Rayleigh-Benard Convection, Rocky Mountain Workshop on Dynamics and Bifurcation of Patterns in Dissipative Systems, Ft. Collins, CO, 19-22 May 2003.
22. M.R. Paul, R. Radovitzky, M.C. Cross, The Numerical Design of a Nano-Biodetector, 55th Annual Meeting of the Division of Fluid Dynamics, APS, Dallas, TX, 24-26 November 2002.
23. M.R. Paul, R. Radovitzky and M.C. Cross, The Numerical Design of a Nano-Biodetector, 55th Annual Meeting of the Division of Fluid Dynamics, APS, Dallas, TX, 24-26 November 2002.
24. J.D. Scheel, M.R. Paul and M.C. Cross, Rotating Convection and Travelling Waves, 55th Annual Meeting of the Division of Fluid Dynamics, APS, Dallas, TX, 24-26 November 2002.
25. R. Radovitzky, and M.R. Paul, A Numerical Approach for the Design of Nanomechanical Biodetectors, Fourteenth U.S. National Congress of Theoretical and Applied Mechanics, Blacksburg, VA., 23-28 June 2002.
26. M. R. Paul, R. Radovitzky, D. Meiron, and M.C. Cross, The Numerical Design of a Nanoelectromechanical Biodetector, Poster presented at the Nanoscale/Molecular Mechanics Conference, Maui, HI., 12-17 May 2002.
27. M.R. Paul, R. Radovitzky, D. Meiron, M.C. Cross, BioNEMS: The Design of a Nano-Biodetector, Caltech Computational Molecular Biology Retreat, Buellton, CA., 25-27 April 2002.
28. K.-H. Chiam, M. R. Paul, M. C. Cross, and H. S. Greenside, Mean Flow and Spiral Defect Chaos in Rayleigh-Benard Convection, 54th Annual Meeting of the Division of Fluid Dynamics, APS, San Diego, CA, 18-20 November 2001.
29. M.R. Paul, M.C. Cross, Rayleigh-Benard Convection with a Radial Ramp in Plate Separation, Sixth SIAM Conference on Applications of Dynamical Systems, Snowbird Utah, May 20-24 2001.
30. M.R. Paul, M.C. Cross and H.S. Greenside, A Numerical Investigation of Low Prandtl Number Rayleigh-Benard Convection in Cylindrical Domains, Poster presented at Dynamic Days 2001, Chapel Hill, North Carolina, Jan 2-6 2001.

Selected Seminars and Colloquia

1. M.R. Paul, The Stochastic Dynamics of Nanoscale Systems: Fluctuations from Dissipation
   Yale University, September 2007
   Boston University, October 2007
   Caltech, December 2006
2. M.R. Paul, Spatiotemporal Chaos in Fluid Convection: New Insights from Numerics, University of Kentucky, April 2007.
3. M.R. Paul, Quantifying Spatiotemporal Chaos in Rayleigh-Benard Convection -- New Insights from Numerics, Georgia Tech, March 2007.
4. M.R. Paul, The stochastic dynamics of arrays of micro and nanoscale cantilevers in a viscous fluid, Caltech, April 2006.
5. M.R. Paul, New Insights from Numerics: Spatiotemporal Chaos in Fluid Convection and the Stochastic Dynamics of Nanoscale Cantilevers, University of California at Los Angeles, April 2006.
6. M.R. Paul, The stochastic dynamics of micron and submicron scale cantilevers in a viscous fluid, Veeco Metrology, Santa Barbara, CA, November 2005.
7. M.R. Paul, Quantifying Spatiotemporal Chaos, Georgia Institute of Technology, October 2005.
8. M.R. Paul, New physical insights from experimentally realistic numerical simulations of Rayleigh-Benard convection, The Newton Institute of Mathematical Sciences, Cambridge University, England, August 2005.
9. M.R. Paul, The stochastic dynamics of micron and submicron scale mechanical oscillators, SIAM Conference on Applications of Dynamics Systems, Snowbird, UT, May 2005.
10. M.R. Paul, New physical insights from experimentally realistic numerical simulations: Spatiotemporal Chaos and BioNEMS, presented to the Civil Engineering Department at Virginia Tech, January 2005.
11. M.R. Paul, New physical insights from experimentally realistic numerical simulations: Spatiotemporal Chaos and BioNEMS, presented to the Physics Department at Virginia Tech, December 2004.
12. M.R. Paul, New physical insights from experimentally realistic numerical simulations: Spatiotemporal Chaos and BioNEMS, presented to the Physics Department at New York University, New York, December 2004.
13. M.R. Paul and S. Fraser, BioNEMS: Biofunctionalized Nano Electro Mechanical Systems, DARPA BioFlips/Simbiosys Conference, Monterey CA, 10-12 September 2003.
14. M.R. Paul, Rayleigh-Benard Convection in Large-Aspect-Ratio Domains, Workshop on Patterns in Physics, The Fields Institute, Toronto Canada, 14 November 2003.
15. M.R. Paul, Spatiotemporal Dynamics, Kavli Institute for Theoretical Physics at the University of California at Santa Barbara, Program on Pattern Formation in Physics and Biology, 2 October 2003.
16. M.R. Paul, Rayleigh-Benard Convection as metaphor for large-aspect-ratio nonequilibrium dynamics, Trends in Pattern Formation: From Amplitude Equations to Applications, Max-Planck-Institute for Complex Systems, Dresden Germany, 29 August 2003.
17. M.R. Paul, New Insights from Simulations of Rayleigh-Benard Convection, Seminar given at the Duke Center for Nonlinear and Complex Systems, April 19 2001.