Virginia Tech® home

Publications

  1. A. Raj and M. R. Paul, Spatiotemporal Chaos with Convective and Diffusive Coupling, (under review).
  2. M. Ma, N. Welles, J. Barbish, I. I. Kaya, M. S. Hanay, O. Svitelskiy, M. R. Paul, and K. L. Ekinci, Statistical properties of a fluctuation-driven nanomechanical Duffing resonator, (under review, here is a preprint).
  3. S. Mukherjee and M. R. Paul, Propagating fronts of convection rolls in Rayleigh-Bénard convection, to appear in the Journal of Fluid Mechanics. (Here is a preprint.)
  4. A. Raj and M. R. Paul, Spatiotemporal Chaos with Extended Spatial Interactions, to appear in the International Journal of Bifurcation and Chaos.
  5. N. W. Welles, M. Ma, K. L. Ekinci, and M. R. Paul, The mode-dependent dynamic-range of a nanobeam in tension with a geometric nonlinearity, Journal of Applied Physics, 128, 054501, (2025). (pdf)
  6. J. Barbish and M. R. Paul, Computing the multimodal stochastic dynamics of a nanobeam in a viscous fluid, Journal of Applied Physics, 136, 234502,  (2024). (pdf)
  7. A. Raj and M. R. Paul, Exploring the Role of Diffusive Coupling in Spatiotemporal Chaos, Chaos, 34, 103113, (2024). (pdf)
  8. M. Ma, N. Welles, O. Svitelskiy, C. Yanik, I. Kaya, M. Hanay, M. R. Paul, K. L. Ekinci, Mode-Dependent Scaling of Nonlinearity and Linear Dynamic Range in a NEMS Resonator, Applied Physics Letters, 124, 083505, (2024). (Here is a preprint.)
  9. H. Gress, J. Barbish, C. Yanik, I. I. Kaya, R. T. Erdogan, M. S. Hanay, M. Gonzalez, O. Svitelskiy, M. R. Paul, and K. L. Ekinci, Multimode Brownian Dynamics of a Nanomechanical Resonator in a Viscous Fluid, Physical Review Applied, 20, 044061 (2023).  (Here is a preprint.)
  10. J. Barbish and M. R. Paul, Using Covariant Lyapunov Vectors to Quantify High Dimensional Chaos with a Conservation Law, Physical Review E, 108, 054202, (2023). (pdf)
  11. 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, 132, 034501 (2022).  (pdf)
  12. S. Mukherjee and M. R. Paul, The Fluid Dynamics of Propagating Fronts with Solutal and Thermal Coupling,  Journal of Fluid Mechanics, (2022). (Here is a preprint.)
  13. 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). (Here is a preprint).
  14. 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). (Here is a preprint.)
  15. S. Mukherjee and M. R. Paul, Propagating Fronts in Fluids with Solutal Feedback,  Physical Review E, 101, 032214, (2020). (pdf)
  16. 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). (pdf)
  17. S. Mukherjee and M. R. Paul, Velocity and geometry of propagating fronts in complex convective flow fields, Physical Review E, 99, 012213, (2019). (pdf)
  18. M. Xu and M. R. Paul,  Chaotic Rayleigh-Benard Convection with Finite Sidewalls, Physical Review E, 98, 012201, (2018). (pdf)
  19. M. Xu and M. R. Paul, Spatiotemporal dynamics of the covariant Lyapunov vectors of chaotic convection, Physical Review E, 97, 032216, (2018). (pdf)
  20. H. N. Patel, I. Carroll, R. Lopez, S. Sankararaman, C. Etienne, S. Kodigala, M. R. Paul, and H. W.Ch. Postma, DNA-graphene interactions during translocation through nanogaps, PLOS One, (2017). (pdf)
  21. M. Xu and M. R. Paul, Covariant Lyapunov Vectors of Chaotic Rayleigh-Benard Convection, Physical Review E, 93, 062208, (2016). (pdf)
  22. M. Radiom, M. R. Paul, and W. A. Ducker, Dynamics of Single-Stranded DNA Tethered to a Solid, Nanotechnology, 27, 255701, (2016).
  23. M. Kramar, R. Levanger, J. Tithof, B. Suri, M. Xu, M. R. Paul, M. F. Schatz, and K. Mischaikow, Analysis of Kolmogorov Flow and Rayleigh-Benard Convection using Persistent Homology, Physica D, 334, (2016). (Here is a preprint.)
  24. K. Subramanian, M. R. Paul, and J. J. Tyson, Dynamical localization of DivL and PleC in the asymmetric division cycle of Caulobacter crescentus: A theoretical investigation of alternate models, PLOS Computational Biology, 11, e1004348, (2015). (pdf)
  25. M. Radiom, B. A. Robbins, M. R. Paul, and W. A. Ducker, Hydrodynamic interactions of two nearly touching Brownian spheres in a stiff potential: effect of fluid inertia, Physics of Fluids, 27, 022002, (2015). (pdf)
  26. B.A. Robbins, M. Radiom, W.A. Ducker, J.Y. Walz, and M.R. Paul, The Stochastic Dynamics of Tethered Microcantilevers in a Viscous Fluid, Journal of Applied Physics, 116, 164905, (2014). (pdf)
  27. C. Lissandrello, F. Inci, M. Francom, M. R. Paul, U. Demirci, and K. L. Ekinci, Nanomechanical Motion of Escherichia coli Adhered to a Surface, Applied Physics Letters, 105, 113701, (2014). (pdf)
  28. C.O. Mehrvarzi and M.R. Paul, Front propagation in a chaotic flow field, Physical Review E, 90, 012905, (2014). (pdf)
  29. M.R. Paul, M.T. Clark and M.C. Cross, Coupled motion of microscale and nanoscale elastic objects in a viscous fluid, Physical Review E, 88, 043012, (2013). (pdf)
  30. S.E. Epstein and M.R. Paul, The stochastic dynamics of a nanobeam near an optomechanical resonator in a viscous fluid, Journal of Applied Physics, 114, 144901, (2013). (pdf)
  31. K. Subramanian, M.R. Paul, and J.J. Tyson, Potential Role of a Bistable Histidine Kinase Switch in the Asymmetric Division Cycle of Caulobacter crescentus, PLOS Computational Biology, (2013). (pdf)
  32. A. Karimi and M.R. Paul, Bioconvection in Spatially Extended Domains, Physical Review E, 87, (2013). (pdf)
  33. A. Karimi and M.R. Paul, Length Scale of a Chaotic Element in Rayleigh-Benard Convection, Physical Review E, 86, (2012). (pdf)
  34. M. Radiom, C. Honig, J.Y. Walz, M.R. Paul, and W.A. Ducker, A Correlation Force Spectrometer for Single Molecule Measurements under Tensile Load, Journal of Applied Physics, 113, (2012). (pdf)
  35. D. Seo, M.R. Paul, and W.A. Ducker, A Pressure Gauge based on Gas Density Measurement from Analysis of the Thermal Noise of an AFM Cantilever, Review of Scientific Instruments, 83, (2012). (pdf)
  36. A. Karimi and M.R. Paul, Quantifying Spatiotemporal Chaos in Rayleigh-Benard Convection, Physical Review E, 85, (2012). (pdf)
  37. M. Radiom, B. Robbins, C. Honig, J.Y. Walz, M.R. Paul, and W.A. Ducker, Rheology of Fluids Measured by Correlation Force Spectroscopy, Review of Scientific Instruments, 83, (2012). (pdf)
  38. C. Honig, M. Radiom, B. Robbins, J.Y. Walz, M.R. Paul, and W.A. Ducker, Correlations between the thermal vibrations of two cantilevers: Validation of deterministic analysis via the fluctuation-dissipation theorem, Applied Physics Letters, 100, (2012). (pdf)
  39. A. Karimi, Z-F. Huang, M.R. Paul, Exploring Spiral Defect Chaos in Generalized Swift-Hohenberg Models with Mean Flow, Physical Review E, 84, (2011). (pdf)
  40. 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, Molecular Systems Biology, 8, (2010). (pdf)
  41. A. Karimi, and M.R. Paul, Extensive Chaos in the Lorenz-96 Model, Chaos, 20, (2010). (pdf)
  42. A. Duggleby and M.R. Paul, Computing the Karhunen-Loeve dimension of an Extensively Chaotic Flow Field Given a Finite Amount of Data, Computers and Fluids, 39, 9, (2010).
  43. M.T. Clark, J.E. Sader, J.P. Cleveland, and M.R. Paul, Spectral Properties of Microcantilevers in Viscous Fluid, 81, 046306, Physical Review E (2010). (pdf)
  44. S. Misra, H. Dankowicz, and M.R. Paul, Degenerate Discontinuity-Induced Bifurcations in Tapping-Mode Atomic-Force Microscopy, 239, Physica D, (2010).
  45. M.M. Villa and M.R. Paul, Stochastic Dynamics of Micron Scale Doubly-Clamped Beams in a Viscous Fluid, Physical Review E, 79, 056314, (2009). (pdf)
  46. H. Dankowicz and M.R. Paul, Discontinuity-Induced Bifurcations in Systems with Hysteretic Force Interactions, Journal of Computational and Nonlinear Dynamics, 4 (2009).
  47. 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). (pdf)
  48. 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)
  49. 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, (2008). (pdf)
  50. 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)
  51. 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)
  52. 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, 464, (2008).
  53. 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)
  54. A. Duggleby, K.S. Ball, M.R. Paul, and P.F. Fischer, Dynamical Eigenfunction Decomposition of Turbulent Pipe Flow, Journal of Turbulence, 8, 43, (2007).
  55. M.T. Clark and M.R. Paul, The Stochastic Dynamics of an Array of Atomic Force Microscopes in a Viscous Fluid, International Journal of Non-linear Mechanics, 42, (2006). (Here is a preprint.)
  56. 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, (2007). (pdf)
  57. J.L. Arlett, M.R. Paul, J. Solomon, M.C. Cross, S.E. Fraser, and M.L. Roukes, BioNEMS: Nanomechanical Devices for Single Molecule Biophysics, Lecture Notes in Physics, 711, (2007).
  58. 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, (2006). (Here is a preprint.)
  59. J.E. Solomon and M.R. Paul, The Kinetics of Analyte Capture on Nanoscale Sensors, Biophysical Journal, 90, (2006). (pdf)
  60. M.R. Paul and J.E. Solomon, The Physics and Modeling of BioNEMS, in Nanodevices for Life Sciences, Wiley-VCH, (2006).
  61. 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, (2004). (pdf)
  62. 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)
  63. M.R. Paul and I. Catton, The Relaxation of Two-Dimensional Rolls in Rayleigh-Benard Convection, Physics of Fluids, 16, 1262, (2004). (pdf)
  64. 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)
  65. 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). (Here is a preprint.)
  66. 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)
  67. 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). (Here is a preprint.)
  68. 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, (2001). (pdf)
  69. 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).
  70. 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).