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Ecke Group Publications

  1. Y. Liu and R.E. Ecke, "Nonlinear Traveling Waves in Rotating Rayleigh-Benard Convection: Stability Boundaries and Phase Diffusion," Phys. Rev. E 50 , 4091 (1999).
  2. R.E. Ecke, "Comment on Two Scaling Regions in Rotating Rayleigh-Benard Convection," Phys. Rev. Lett. 83, 2678 (1999).
  3. P. Vorobieff, M. Rivera, and R.E. Ecke, "Soap Film Flows: Statistics of 2D Turbulence ," Phys. Fluids, , (1999).
  4. D.A. Egolf, I. Melnikov, W. Pesch, and R.E. Ecke, "Mechanism for Extensive Chaos in Rayleigh-Benard Convection," Nature 404, 733 ( 2000).
  5. E. Ben-Naim, Z. Daya, P. Vorobieff, and R.E. Ecke, "Knots and random walks in vibrated granular chains," Phys. Rev. Lett. 86, 1414 (2001).
  6. M. Hastings, Z. Daya, E. Ben-Naim, and R.E. Ecke, "Entropic tightening in vibrated chains," Phys. Rev. E, Rapid Comm. (2002).
  7. P. Vorobieff and R.E. Ecke, "Flow Regimes in Turbulent Rotating Convection: An Experimental Study," J. Fluid Mech. 458, 191 (2002).
  8. X. Wang, S. Chen, G. Eyink and R.E. Ecke, "Athermodynamic alignment in two-dimensional turbulence," submitted to Physical Review Letters (2002).
  9. M.K. Rivera, W.B. Daniel and R.E. Ecke, "Enstrophy and energy transfer in two-dimensional turbulence experiments," accepted for publication in Phys. Rev. Lett. (2002).
  10. M.K. Rivera, W.B. Daniel and R.E. Ecke, "Coherent Structure Analysis of Decaying Two-Dimensional Turbulence," Preprint (2002).
  11. E. Rericha, P. Vorobieff, and R.E. Ecke, "Experimental evidence of wake transition in two dimensions," Preprint (2002).
  12. W. Choi, D. Prasad, R. Camassa and R.E. Ecke, "Traveling Waves in Rotating Rayleigh-Benard Convection," Preprint (2002).
  13. Y. Liu and R.E. Ecke, "Experimental Studies of Turbulent Rotating Thermal Convection," Preprint (2003).
  14. Y. Liu, L. Ning, and R.E. Ecke, "Mass Transport, Fluid Flow, and Surface Patterning in Salt Crystal Dissolution," Preprint (2003).
  • Soap Film Hydrodynamics & Two-Dimensional Turbulence - back to top
  1. M. Rivera, P. Vorobieff and R.E. Ecke, "Turbulence in Flowing Soap Films: Velocity,Vorticity, and Thickness Fields," Phys. Rev. Lett. 81, 1417 (1998).
  2. P. Vorobieff and R.E. Ecke, "Fluid Instabilities and Wakes in a Soap-Film Tunnel," Amer. J. Phys. 67, 394 (1999).
  3. P. Vorobieff and R.E. Ecke, "Cylinder Wakes in Flowing Soap Films," Phys. Rev. E 60, 2953 (1999).
  4. P. Vorobieff, M. Rivera, and R.E. Ecke, "Soap Film Flows: Statistics of 2D Turbulence ," Phys. Fluids 11, 2167 (1999).
  5. M.K. Rivera, W.B. Daniel and R.E. Ecke, "Enstrophy and energy transfer in two-dimensional turbulence experiments," accepted for publication in Phys. Rev. Lett. (2002).
  6. M.K. Rivera, W.B. Daniel and R.E. Ecke, "Coherent Structure Analysis of Decaying Two-Dimensional Turbulence," Preprint (2002).
  7. X. Wang, S. Chen, G. Eyink and R.E. Ecke, "Athermodynamic alignment in two-dimensional turbulence," Preprint (2002).
  8. P. Vorobieff and R.E. Ecke, "Instability of far wake in flowing soap film," Proceedings of Experimental Chaos Conference, (1999).
  1. E. Ben-Naim, Z. Daya, P. Vorobieff, and R.E. Ecke, "Knots and random walks in vibrated granular chains," Phys. Rev. Lett. 86, 1414 (2001).
  2. M. Hastings, Z. Daya, E. Ben-Naim, and R.E. Ecke, "Entropic tightening in vibrated chains," Phys. Rev. E, Rapid Comm. (2002).
  • Pattern Formation & Spatiotemporal Chaos - back to top
  1. Y. Hu, R.E. Ecke, and G. Ahlers, "Convection Near Threshold for Prandtl Numbers Near One," Phys. Rev. E 48, 4399 (1993).
  2. L. Ning, Y. Hu, R.E. Ecke, and G. Ahlers, "Spatial and Temporal Averages in Chaotic Patterns," Phys. Rev. Lett. 71, 2216 (1993).
  3. Y. Hu, R.E. Ecke, and G. Ahlers, "Behavior of Focus Patterns in Low Prandtl Number Convection," Phys. Rev. Lett. 72, 2191 (1994).
  4. Y. Hu, R.E. Ecke, and G. Ahlers, "Transition to Spiral Defect Chaos in Low Prandtl Number Convection," Phys. Rev. Lett. 74, 391 (1995).
  5. Y. Hu, R.E. Ecke, and G. Ahlers, "Convection for Prandtl Numbers Near One: Dynamics of Textured Patterns," Phys. Rev. E 51, 3263 (1995).
  6. R.E. Ecke, Y. Hu, R. Mainieri, and G. Ahlers, "Excitation of Spirals and Chiral Symmetry Breaking in Rayleigh-Benard Convection," Science 269, 1704 (1995).
  7. R.E. Ecke and Y. Hu, "Spiral Defect Chaos in Rayleigh-Benard Convection: Defect Population Statistics," Physica A 239, 174 (1997).
  8. Y. Liu and R.E. Ecke, "Eckhaus-Benjamin-Feir Instability in Rotating Convection," Phys. Rev. Lett. 78, 4391 (1997).
  9. Y. Liu and R.E. Ecke, "Nonlinear Traveling Waves in Rotating Rayleigh-Benard Convection: Stability Boundaries and Phase Diffusion," Phys. Rev. E 50, 4091 (1999).
  10. D.A. Egolf, I. Melnikov, W. Pesch, and R.E. Ecke, "Mechanism for Extensive Chaos in Rayleigh-Benard Convection," Nature 404, 733 ( 2000).
  1. F. Zhong, R.E. Ecke, and V. Steinberg, "Asymmetric Modes and Vortex Structures in Rotating Rayleigh-Benard Convection," Phys. Rev. Lett. 67, 2473 (1991).
  2. F. Zhong, R.E. Ecke, and V. Steinberg, "Rotating Rayleigh-Benard Convection: The Kuppers-Lortz Transition," Physica D 51, 596 (1991).
  3. F. Zhong and R.E. Ecke, "Pattern Dynamics and Heat Transport in Rotating Rayleigh-Benard Convection," Chaos 2, 163 (1992).
  4. E. Bodenschatz, J. deBryun, D. Cannell, R. Ecke, Y.C. Hu, K. Lerman, and G. Ahlers, "Experiments on Three Systems with Non-Variational Aspects," Physica D 61, 77 (1992).
  5. R.E. Ecke, F. Zhong, and E. Knobloch, "Hopf Bifurcation with Broken Symmetry in Rotating Rayleigh-Benard Convection," Europhys. Lett. 19, 177 (1992).
  6. F. Zhong, R.E. Ecke, and V. Steinberg, "Rotating Rayleigh-Benard Convection: Asymmetric Modes and Vortex Structures," J. Fluid Mech. 249, 135 (1993).
  7. Li Ning and R.E. Ecke, "Rotating Rayleigh-Benard Convection: Aspect Ratio Dependence of the Initial Bifurcations," Phys. Rev. E 47, 3326 (1993).
  8. Li Ning and R.E. Ecke, "The Kuppers-Lortz Transition at High Dimensionless Rotation Rates," Phys. Rev. E 47, R2991 (1993).
  9. Y. Hu, R.E. Ecke, and G. Ahlers, "Time and Length Scales in Rotating Rayleigh-Benard Convection," Phys. Rev. Lett. 74, 5040 (1995).
  10. R.E. Ecke and Y. Liu, "Traveling Waves and Vortex States in Rotating Rayleigh-Benard Convection," Proceedings of the Society of Engineering Science Chandrasekhar Memorial Symposium, International Journal of Engineering Science 36, 1471 (1998).
  11. Y. Hu, R.E. Ecke, and G. Ahlers, "Convection under Rotation for Prandtl Numbers near One: Linear Stability, Wavenumber Selection, and Pattern Dynamics," Phys. Rev. E 55, 6928 (1997).
  12. Y. Liu and R.E. Ecke, "Eckhaus-Benjamin-Feir Instability in Rotating Convection," Phys. Rev. Lett. 78, 4391 (1997).
  13. Y. Liu and R.E. Ecke, "Heat Transport in Turbulent Convection: Effects of Rotation and Prandtl Number ," Phys. Rev. Lett. 79, 2257 (1997).
  14. P. Vorobieff and R.E. Ecke, "Vortex structure in rotating Rayleigh-Benard Convection," Physica D 123, 153 (1998).
  15. P. Vorobieff and R.E. Ecke, "Transient states during spin-up of a cylindrical Rayleigh-Benard convection cell," Phys. Fluids 10, 2525 (1998).
  16. P. Vorobieff and R.E. Ecke, "Flow structure in a Rayleigh-B enard convection cell upon impulsive spin-up," Proceedings of 97th ASME Congress, (1998); Reprinted in J. of Fluids and Structures , (1999).
  17. P. Vorobieff and R.E. Ecke, "Regular and chaotic flow patterns upon impulsive spin-up of a Rayleigh-Benard convection cell," Proceedings of Experimental Chaos Conference 1998.
  18. Y. Hu, R.E. Ecke, and G. Ahlers, "Convection under Rotation for Prandtl Numbers near One: Kuppers-Lortz Instability," Phys. Rev. E 58, 5821 (1998).
  19. Y. Liu and R.E. Ecke, "Nonlinear Traveling Waves in Rotating Rayleigh-Benard Convection: Stability Boundaries and Phase Diffusion," Phys. Rev. E 50 , 4091 (1999).
  20. R.E. Ecke, "Comment on Two Scaling Regions in Rotating Rayleigh-Benard Convection," Phys. Rev. Lett. 83, 2678 (1999).
  21. P. Vorobieff and R.E. Ecke, "Flow Regimes in Turbulent Rotating Convection: An Experimental Study," J. Fluid Mech. 458, 191 (2002).
  1. T.S. Sullivan, W. Brown, M. Kerkel, and R.E. Ecke, "Turbulent Convection and Surface Patterning in Solid Dissolution," Phys. Lett. A 206, 49 (1995).
  2. T. Sullivan, Y. Liu, and R.E. Ecke, "Turbulent Solutal Convection and Surface Patterning in Solid Dissolution," Phys. Rev. E 54, 486 (1996).
  3. Y. Liu, L. Ning, and R.E. Ecke, "Dynamics of Surface Patterning in Salt Crystal Dissolution," Phys. Rev. E 53, R5572 (1996).
  4. Y. Liu and R.E. Ecke, "Heat Transport in Turbulent Convection: Effects of Rotation and Prandtl Number ," Phys. Rev. Lett. 79, 2257 (1997).
  5. Z. Daya and R.E. Ecke, "Does turbulent convection feel the shape of the container," Phys. Rev. Lett. 87, 184501 (2001).
  6. Z. Daya and R.E. Ecke, "Prandtl number dependence of interior temperature and velocity fluctuations in turbulent convection," Phys. Rev. E, Rapid Comm., (2002).
  1. H. Haucke, R.E. Ecke, Y. Maeno & J.C. Wheatley, "Noise Induced Intermittency in a Convecting Dilute Solution of 3He in Superfluid 4He," Phys. Rev. Lett. 53, 2090 (1984).
  2. Y. Maeno, H. Haucke, R.E. Ecke & J.C. Wheatley, "Oscillatory Convection in a Dilute 3He-Superfluid 4He Solution," J. Low Temp. Phys. 59, 305 (1985).
  3. R.E. Ecke, H. Haucke, Y. Maeno & J.C. Wheatley, "Critical Dynamics at a Hopf Bifurcation to Oscillatory Convection," Phys. Rev. A 33, 1870 (1986).
  4. H. Haucke, R.E. Ecke & J.C. Wheatley, "Dimension and Entropy for Quasiperiodic and Chaotic Convection," in `Dimensions and Entropies in Chaotic Systems,' ed. by G. Mayer-Kress (Springer-Verlag, Berlin, 1986) p. 198.
  5. R.J. Deissler, R.E. Ecke & H. Haucke, "Universal Scaling and Transient Behavior of Temporal Modes Near a Hopf Bifurcation: Theory and Experiment," Phys. Rev. A 36, 4390 (1987).
  6. H. Haucke & R.E. Ecke, "Mode-Locking and Chaos in Rayleigh-Benard Convection," Physica D 25, 307 (1987).
  7. R.E. Ecke and I.G. Kevrekidis, "Interactions of Resonancesand Global Bifurcations in Rayleigh Benard Convection ," Phys. Lett. A 131, 344 (1988).
  8. R.E. Ecke, J.D. Farmer & D. Umberger, "Scaling of Arnold Tongues," Nonlinearity 2, 175 (1989).
  9. I.G. Kevrekidis & R.E. Ecke, "Global Bifurcations in Maps of the Plane and in Rayleigh-Benard Convection," Contemporary Mathematics 99, 313 (1989).
  10. R.E. Ecke & H. Haucke, "Noise-Induced Intermittency in the Quasiperiodic Regime of Rayleigh-Benard Convection," J. Stat. Phys. 54, 1153 (1989).
  11. R. Mainieri, T.S. Sullivan & R.E. Ecke, "Two-Parameter Study of the Quasiperiodic Route to Chaos in Convecting 3He-Superfluid-4He Mixtures," Phys. Rev. Lett. 63,
  12. R.E. Ecke, "Quasiperiodicity, Mode-Locking and Universal Scaling in Rayleigh-Benard Convection," NATO ASI Proceedings `Chaos, Order, and Patterns,' ed. by P. Cvitanovic, R. Artuso, and G. Casati, (Plenum Pub, NY, 1991), p.77.
  13. R.E. Ecke, R. Mainieri & T.S. Sullivan, "Universality in Quasiperiodic Rayleigh-Benard Convection," Phys. Rev. A 44, 8103 (1991).
  14. R.E. Ecke, "Interpolating Dynamical Systems: Applications to Experimental Data Analysis," in Proceedings of the `1st Experimental Chaos Conference', ed. by S. Vohra, M. Spano, M. Shlesinger, L. Pecora, and W. Ditto (World Scientific, Singapore, 1992), p. 375.
  15. R. Mainieri & R.E. Ecke, "Phase Shifts in Experimental Trajectory Scaling Functions," Phys. Lett. A 170, 327-332 (1993).
  16. R. Mainieri & R.E. Ecke, "Dynamical Scaling Function at the Quasiperiodic Transition to Chaos," Physica D 79, 193 (1994).
  17. I.G. Kevrekidis, R. Rico-Martinez, R.E. Ecke, R. Farber, and A. Lapedes, "Global Bifurcations in Rayleigh-Benard Convection: Experiments, Empirical 2D Maps, and Numerical Bifurcation Analysis," Physica D 71, 342 (1994).
  1. R.E. Ecke, H. Haucke & J.C. Wheatley, "Superfluid Turbulence in a Convecting Dilute Solution of 3He in Superfluid 4He," Phys. Rev. Lett. 58, 499 (1987).
  2. R.E. Ecke, H. Haucke & J.C. Wheatley, "Convectively-Driven Superfluid Turblence in Dilute Solutions of 3He in Superfluid 4He,'' Can. J. Phys. 65, 1322 (1987).
  3. M. Lowe, P.C. Hammel, R.E. Ecke, K. Bedell, and M. Takigawa, "Nuclear Spin Relaxation in 3He-4He Mixtures," Phys. Rev. B 37, 2281 (1988).
  4. T.S. Sullivan, R.E. Ecke, and V. Steinberg, "Thermal Conductivity and Onset of Convection in 3He-superfluid-4He mixtures," J. Low Temp. Phys. 90, 343 (1993).
  5. L. Ning, R. Camassa, R.E. Ecke, and F. Venneri, "Centrifugal Separation for Miscible Solutions: Fundamentals and Applications to Separation of Molten Salt Nuclear Material ," Proceedings of 1st International Conference on Accelerator Driven Transmutation Technologies and Applications, Las Vegas, NV (AIP Press, Woodbury, NY, 1995).
  6. L. Ning, R. Camassa, R.E. Ecke, and F. Venneri, "Decontamination of Nuclear Fuels with Centrifugal Separation," Proceedings of Global95, Paris, 1995.
  7. D. Cooper, W. Eichinger, R. Ecke, J. Kao, P. Minnett, and J. Reisner, "Initial Investigation of micro-scale Cellular Convection in an Equatorial Marine Atmospheric Boundary Layer revealed by Lidar," Geophys. Res. Lett. 24, 45 (1997).
  8. L. Ning, R. Camassa, R.E. Ecke, and F. Venneri, "Solutal Separation under Centrifugation," Sep. Sci. Tech. 33, 551 (1998).

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