Publications
- A. Raj and M. R. Paul, Exploring the Role of Diffusive Coupling in Spatiotemporal Chaos, submitted, (2024).
- 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).
- 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).
- 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).
- S. Mukherjee and M. R. Paul, The Fluid Dynamics of Propagating Fronts with Solutal and Thermal Coupling, Journal of Fluid Mechanics, (2022).
- 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).
- 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).
- S. Mukherjee and M. R. Paul, Propagating Fronts in Fluids with Solutal Feedback, Physical Review E, 101, 032214, (2020).
- 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).
- S. Mukherjee and M. R. Paul, Velocity and geometry of propagating fronts in complex convective flow fields, Physical Review E, 99, 012213, (2019).
- M. Xu and M. R. Paul, Chaotic Rayleigh-Benard Convection with Finite Sidewalls, Physical Review E, 98, 012201, (2018).
- M. Xu and M. R. Paul, Spatiotemporal dynamics of the covariant Lyapunov vectors of chaotic convection, Physical Review E, 97, 032216, (2018).
- 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).
- M. Xu and M. R. Paul, Covariant Lyapunov Vectors of Chaotic Rayleigh-Benard Convection, Physical Review E, 93, 062208, (2016).
- M. Radiom, M. R. Paul, and W. A. Ducker, Dynamics of Single-Stranded DNA Tethered to a Solid, Nanotechnology, 27, 255701, (2016).
- 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).
- 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).
- 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).
- 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).
- 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).
- C.O. Mehrvarzi and M.R. Paul, Front propagation in a chaotic flow field, Physical Review E, 90, 012905, (2014).
- 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).
- 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).
- K. Subramanian, M.R. Paul, and J.J. Tyson, Bistable histidine kinase switches in Caulobacter crescentus, PLOS Computational Biology, (2013).
- A. Karimi and M.R. Paul, Bioconvection in Spatially Extended Domains, Physical Review E, 87, (2013).
- A. Karimi and M.R. Paul, Length Scale of a Chaotic Element in Rayleigh-Benard Convection, Physical Review E, 86, (2012).
- 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).
- 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).
- A. Karimi and M.R. Paul, Quantifying Spatiotemporal Chaos in Rayleigh-Benard Convection, Physical Review E, 85, (2012).
- 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).
- C. Honig, M. Radiom, B. Robbins, J.Y. Walz, M.R. Paul, and W.A. Ducker, Correlation Force Spectroscopy, Applied Physics Letters, 100, (2012).
- 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).
- 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).
- A. Karimi, and M.R. Paul, Extensive Chaos in the Lorenz-96 Model, Chaos, 20, (2010).
- 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).
- M.T. Clark, J.E. Sader, J.P. Cleveland, and M.R. Paul, The Spectral Properties of Microcantilevers in Viscous Fluid, 81, 046306, Physical Review E (2010).
- S. Misra, H. Dankowicz, and M.R. Paul, Degenerate Discontinuity-Induced Bifurcations in Tapping-Mode Atomic-Force Microscopy, 239, Physica D, (2010).
- 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).
- H. Dankowicz and M.R. Paul, Discontinuity-Induced Bifurcations in Systems with Hysteretic Force Interactions, Journal of Computational and Nonlinear Dynamics, 4 (2009).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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, (2006).
- 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).
- 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).
- 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).
- J.E. Solomon and M.R. Paul, The Kinetics of Analyte Capture on Nanoscale Sensors, Biophysical Journal, 90, (2006).
- M.R. Paul and J.E. Solomon, The Physics and Modeling of BioNEMS, in Nanodevices for Life Sciences, Wiley-VCH, (2006).
- 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).
- M.R. Paul and M.C. Cross, Stochastic Dynamics of Nanoscale Mechanical Oscillators Immersed in a Viscous Fluid, Physical Review Letters, 92, 235501, (2004).
- M.R. Paul and I. Catton, The Relaxation of Two-Dimensional Rolls in Rayleigh-Benard Convection, Physics of Fluids, 16, 1262, (2004).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).