Tomas Bohr's Publications

1. Publications in refereed journals:

  1. With A. P. Young: "Crossover in the two-dimensional Coulomb gas". J.Phys.C 14, 2713 (1981).
  2. "Dislocations in the commensurate-incommensurate transition". Phys. Rev. B 25, 6981 (1981).
  3. Erratum: Phys. Rev. B 26, 5257 (1982).
  4. With V. L. Pokrovskij and A. L. Talapov: "The commensurate-incommensurate phase transition in a continuos system with dislocations". Pis'ma Zh. Eksp. Teor. Fiz. 35, 165 (1982).
  5. With K. B. Efetov: "Derivation of Green function for disordered chain by integrating over commuting and anticommuting variables". J. Phys. C 15, L249 (1982).
  6. With S. A. Brazovskij: "Soliton statistics for a system of weakly bound chains: mapping to the Ising model". J. Phys. C 16, 1189 (1983)
  7. With P. Bak: "Theory of commensurate-incommensurate transitions and melting in freon ($CF_4 $) adsorbed on graphite". Phys. Rev. B 27, 591 (1983).
  8. With F. D. M. Haldane and P. Bak: "Phase diagram of surface structures from Bethe ansatz solutions of the quantum Sine-Gordon model". Phys. Rev. B 28, 2743 (1983).
  9. With B. Horowitz, J. M. Kosterlitz and H. J. Schulz: "Commensurate-incommensurate transitions and a floating Devil's staircase". Phys. Rev. B 28, 6596 (1983)
  10. With M. H. Jensen and P. Bak: "Complete Devil's Staircase, fractal dimension, and universality of modelocking structure in the circle map". Phys. Rev. Lett. 50, 1637 (1983).
  11. With P. Bak, M. H. Jensen and P. V. Christiansen: "Joseph junctions and circle maps". Solid State Comm. 51, 231 (1984)
  12. With M. H. Jensen and P. Bak: "Transition to chaos by interaction of resonances in dissipative systems. I. Circle maps." Phys. Rev. A 30, 1960 (1984).
  13. With M. H. Jensen and P. Bak: "Transition to chaos by interaction of resonances in dissipative systems. II. Josephson junctions, charge density waves and standard maps." Phys. Rev. A 30, 1970 (1984).
  14. "A bound for the existence of invariant circles in a class of two- dimensional maps". Phys. Lett. 104A, 441 (1984).
  15. "Destruction of invariant tori as an eigenvalue problem". Phys. Rev. Lett. 54, 1737 (1985).
  16. With G. Gunaratne "Scaling for supercritical circle maps: numerical investigation of the onset of bistability and period doubling". Phys. Lett. 113A, 55 (1985).
  17. With D. A. Rand "The entropy function for characteristic exponents". Physica 25D, 387 (1987).
  18. With G. Grinstein, Yu He and C. Jayaprakash: "Coherence, chaos, and broken symmetry in classical, many-body dynamical systems". Phys. Rev. Lett. 58, 2155 (1987).
  19. With D. R. Rasmussen: "Temporal chaos and spatial disorder" Phys. Lett. 125A, 107 (1987).
  20. With M. H. Jensen:"Order parameter, symmetry breaking, and phase transitions in the description of multifractal sets". Phys. Rev. A 36, 4904 (1987)
  21. With O. B. Christensen: "Universal aspects of escape from strange sets". Physica Scripta 38, 641 (1988).
  22. With P. Cvitanovi\'c and M. H. Jensen: "Fractal "aggregates" in the complex plane". Europhys. Lett. 6, 445 (1988).
  23. With D. A. Rand: "A mechanism for localized turbulence". Physica D 52, 532 (1991).
  24. With O. B. Christensen: "Size Dependence, Coherence and Scaling in Turbulent Coupled Map Lattices." Phys. Rev. Lett. 63, 2161 (1989).
  25. With A. W. Pedersen and M. H. Jensen: "Transition to Turbulence in a Discrete Complex Ginzburg-Landau model". Phys. Rev. A 42, 3626 (1990).
  26. With C. Conrado: "Ordering Processes in the Diffusively Coupled Logistic Lattice", Physica Scripta 44, 127 (1991).
  27. With H. C. Fogedby, M. H. Jensen, H. J. Jensen, H. H. Rugh and Y.-C. Zhang: "Temporal Fluctuations of an Ideal Brownian Gas", Mod. Phys. Lett. B 5, 1837 (1991).
  28. With H. C. Fogedby and H. J. Jensen: "Fluctuations in a L\'evy Flight Gas", J. of Stat. Phys. 66, 583 (1992)
  29. With G. Grinstein, C. Jayaprakash, M. H. Jensen and D. Mukamel: "Chaotic Interface Dynamics: A Model With Turbulent Behaviour", Phys. Rev. A. 46, 4791 (1992).
  30. With G. Grinstein, C. Jayaprakash, M. H. Jensen, D. Mukamel and J. Krug: "Turbulence, Power Laws and Galilean Invariance". Physica D 59, 177 (1992)
  31. With P. Dimon and V. Putkaradze: "Asymptotic properties of the Circular Hydraulic Jump". J. Fluid Mech. 254, 635 (1993)
  32. With K. Sneppen, J. Krug, M. H. Jensen, and C. Jayaprakash: "Dynamic Scaling and Crossover Analysis in the Kuramoto-Sivashinsky Equation". Phys. Rev. A 46, R7351 (1992)
  33. With G. Huber and P. Alstrøm: "Nucleation and Transients at the Onset of Vortex Turbulence". Phys. Rev. Lett. 69, 2380 (1992)
  34. With W. van de Water: "Critical Properties of Lattices of coupled quadratic Maps". J. CHAOS 3, 747 (1993).
  35. With A. Pikovsky: "Anomalous diffusion in the Kuramoto-Sivashisky equation". Phys. Rev. Lett. 70, 2892 (1993).
  36. With C. Conrado: "Singular growth shapes in turbulent field theories". Phys. Rev. Lett. 70, 3522 (1994).
  37. With E. Bosch and W. van de Water: "Spatiotemporal Chaos". Nature 372, 48 (1994).
  38. With C. Conrado: "Growth Shapes and Turbulent Spots in Unstable Systems". Phys. Rev. E. 51, 4485 (1995).
  39. With G. Grinstein and C. Jayaprakash: "Singular Lyapunov Spectra and Conservation Laws". J. CHAOS. 5, 412 (1995)
  40. With G. Huber and E. Ott: "The Structure of Spiral Domain Patterns". Europhys. Lett. 33, 589 (1996)
  41. With M. Bazhenov, K. Gorshkov and M. Rabinovich: "The diversity of steady state solutions of the complex Ginzburg-Landau equation". Phys. Lett. A 217, 104 (1996)
  42. With A. H. Nielsen, X. He, J. Juul Rasmussen: "Vortex Merging and Spectral Cascade in Two-dimensional Flows". Phys. Fluids 8, 2263 (1996)
  43. With C. Ellegaard, A. Espe Hansen and A. Haaning: "Hydraulic Jumps, Flow Separation and Wave Breaking: an Experimental Study." Physica B, 228, 1 (1996)
  44. With J. Lundbek Hansen: "Chaotic Particle Motion under Linear Surface Waves" J. CHAOS, 6, 554 (1996).
  45. With J. Lundbek Hansen: "Comment on "Stability of a solitary pulse against wave packet disturbances in an active medium"". Phys. Rev. Lett. 77, 5441 (1996)
  46. With V. Putkaradze and J. Krug: Global estimates and shocks for the Noiseless Conserved Kardar-Parisi-Zhang Equation. Nonlinearity 10, 823 (1997)
  47. With G. Huber and E. Ott: "The structure of spiral domain patterns and shocks in the 2D complex Ginzburg-Landau equation". Physica D 106, 95 (1997)
  48. With V. Putkaradze and S. Watanabe: Averaging theory for the structure of hydraulic jumps and separation in laminar free surface flows Phys. Rev. Lett. 79 1038 (1997).
  49. With J. Rolf and M. H. Jensen: Directed Percolation Universality in Asynchronous Evolution of Spatio-Temporal Intermittency, Phys. Rev. E 57, R2503 (1998)
  50. With C. Ellegaard, A. Espe Hansen, A. Haaning, K. Hansen, A. Marcussen, J. Lundbek Hansen, and S. Watanabe: "Corners and polygons in "kitchen sink'' flows", Nature 392, 767 (1998)
  51. With J. Lundbek Hansen: Fractal tracer distributions in turbulent field theories , (+ figures) Physica D, 118, 40-48 (1998).
  52. With C. Ellegaard, A. Espe Hansen, A. Haaning, K. Hansen, A. Marcussen, J. Lundbek Hansen, and S. Watanabe:
  53. "Cover illustration: Polygonal hydraulic jumps", Nonlinearity 12, 1-7 (1999)
  54. With K. H. Andersen, M. H. Jensen, J. L. Nielsen and P . Olesen: "Pulses in the zero-spacing limit of the GOY model", Physica D, 138, 44 (2000).
  55. With J. L. Hansen, M. van Hecke, A. Haaning, C. Ellegaard, K. H. Andersen and T. Sams : ``Instabilities in sand ripples'', Nature 410, 324 (2001).
  56. With M. van Hecke, R. Mikkelsen and M. Ipsen: "Breakdown of universality in transitions to spatio-temporal chaos" Phys. Rev.  Lett. 86, 5482 (2001).
  57. With J. L. Hansen, M. van Hecke, C. Ellegaard, K. H. Andersen, A. Haaning, T. Sams: ``The Stability Balloon for Two-dimensional Vortex Ripple Patterns'', Phys. Rev. Lett. 87, (2001).
  58. With S. Watanabe and V. Putkaradze: ``Integral methods for free-surface flows with separation'', Journal of Fluid Mechanics, 480, 233 (2003).
  59. With R. Mikkelsen and M. van Hecke, ``Universal and non-universal properties of transitions to spatio-temoporal chaos,'' Phys. Rev. E  67, 046207 (2003).
  60. With A. Andersen and  B. Lautrup, ``An averaging method for nonlinear laminar Ekman layers'', Journal of Fluid Mechanics, 487, 81 (2003).
  61. With A. Andersen, B. Stenum, J. Juul Rasmussen, and B. Lautrup: ``The Anatomy of a Bathtub Vortex'', Phys. Rev. Lett. 91, 104502 (2003).
  62. With T. Sand Jespersen, J. Qvist Thomassen and A. Andersen, ``Vortex Dynamics around a solid triangle in oscillatoy flow'', European Physics Journal B 38, 127 (2004)
  63. With F. Bundgaard, C. Ellegaard, K. Scheibye-Knudsen and T. Sams: "Pattern formation of underwater sand ripples with a skewed drive", Phys. Rev. E 70, 066207 (2004)
  64. With S. Senchenko: "The shape and stability of a viscous thread'', Phys. Rev. E. 71, 056301 (2005)
  65. With A. Andersen, B. Stenum, J. Juul Rasmussen, and B. Lautrup:
    "The Bathtub Vortex in a rotating container'', Journal of Fluid Mechanics, 556, 12-146 (2006).
  66. With T. R. N. Jansson, M. Haspang, K. H. Jensen and P. Hersen: "Polygons on a Rotating Fluid Surface", Phys. Rev. Lett.,  96, 174502 (2006). Erratum: 98, 049901 (2007).

2. Preprints:

  1. With Farid Bouamrirene and Daniel Bonn: "The one-dimensional hydraulic jump".

3. Contributions to Conference Proceedings and other:

  1. "The two-dimensional X-Y model and melting", M. Sc. Thesis, University of Copenhagen (1980)
  2. "The Luttinger model", Lecture notes in the series on "Low Dimensional Statistical Mechanics", NORDITA (1981)
  3. "Elementary excitations in phase transitions", Ph. D. thesis, University of Copenhagen (1983).
  4. With P. Bak and M. H. Jensen, "The complete devil's staircase and universality of mode-locking structures in discrete mappings" in Proceedings of the NATO ASI Geilo School on "Multicritical Phenomena", eds. R. Pynne and A. T. Skjeltorp, Plenum, New York, p. 265 (1984)
  5. With P. Bak and M.H.Jensen: "Mode-locking and the transition to chaos in dissipative systems". Physica Scripta T9, 50 (1985). Proceedings of the 59th Nobel Symposium.
  6. "Precursors of chaos or how to draw the phase diagram for a swing". Physica Scripta T13, 124 (1986). Proceedings of the 6th condensed matter conference of the EPS.
  7. With P. Cvitanovi\'c: "Chaos is good news for physics". Nature 329, 391 (1987) (News and views).
  8. With P. Bak and M. H. Jensen: "Circle-maps, mode-locking and chaos". In "Directions in Chaos" ed. Hao Bai-Lin (World Scientific 1988) p. 16.
  9. With T. Tel: "The thermodynamics of fractals". Ibid. p. 194.
  10. With D. Rand: "A mechanism for localized turbulence". In Papers Presented to Christopher Zeeman (Warwick 1988).
  11. With A. W. Pedersen, M. H. Jensen and D. Rand: "Vortex dynamics in a coupled map lattice." In "New Trends in Nonlinear Dynamics and Pattern Formation", p. 185, ed. by P. Coullet and P. Huerre (Plenum 1991).
  12. "Chaos and Turbulence". In "Applications of Statistical Mechanics and Field Theory to Condensed Matter", ed. by A. R. Bishop, D. Baeriswyl and J. Carmelo (Plenum 1990).
  13. With A. W. Pedersen, M. H. Jensen and D. Rand: "Turbulence and Linear Stability in a Discrete Ginzburg-Landau Model". In "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems", p. 425 ed. by F. Busse and L. Kramer (Plenum 1990).
  14. With C. Conrado: "Ordering Processes in the Diffusively Coupled Logistic Lattice", To appear in "Non-linear Phenomena Related to Growth an Form", ed. by M. Ben Amar, P. Pelce, and P. Tabeling (Plenum 1991).
  15. "Turbulent Coupled Map Lattices". In "The Global Geometry of Turbulence", ed. J. Jimenez (Plenum 1991).
  16. "Smooth and Rough Turbulence". In "Spontaneous Formation of Space-Time Structures and Criticality", p. 349-366 ed. T. Riste (Kluwer 1991).
  17. With H. C. Fogedby and H. J. Jensen: "Fluctuations in a L\'evy Flight Gas". In "Spontaneous Formation of Space-Time Structures and Criticality", p. 141-144 ed. T. Riste (Kluwer 1991).
  18. "Turbulent affair". Nature 349, 291 (1991) (Review of "Nonlinear waves, Solitons and Chaos" by E. Infeld and G. Rowlands).
  19. With C. Ellegaard, A. Espe Hansen and A. Haaning: "Experimental Results on Flow Separation and Transitions in the Circular Hydraulic Jump". Proceedings of the conference "Complex dynamics in spatially extended systems" (ed. by E. Mosekilde et al.) Physica Scripta T67, 105 (1996)
  20. With M. Ernebjerg: "A Computer Simulation of the Formation of "Viscous Trees"". Proceedings of the conference "Complex dynamics in spatially extended systems" (ed. by E. Mosekilde et al.) Physica Scripta T67, 80 (1996)
  21. With C. Ellegaard, A.E.Hansen, K.Hansen, A.Haaning, V.Putkaradze, and S. Watanabe: Separation and pattern formation in hydraulic jumps". Proceedings of 5th Bar-Ilan Conf. on Frontiers in Condensed Matter Physics (Physics of Complex Systems, Mar.31-Apr.3, 1997, Ramat-Gan, Israel), Physica A 249, 111 (1998).
  22. With J. Lundbek Hansen: Growth shapes and pulses in a generalized Kuramoto-Sivashinsky equation (and figures ) Proceedings for the conference "Nonlinear dynamics and statistical physics of Spatially extended systems" Nice, January 11-15 1997.
  23. With K. H. Andersen, M. H. Jensen and P. Olesen: Bursts and Shocks in a Continuum Shell Model. Contribution to the proceedings of the Conference: ``Disorder and Chaos", in honor of Giovanni Paladin, September 22-24, 1997 in Rome. J. Phys. IV France  8, 121 (1998)
  24. With M. H. Jensen and J. Rolf: "Statistical properties of turbulent dynamical systems", Proceedings of STATPHYS 20 (Paris, 1998). Physica A 263, 155-157 (1999).
  25. With P. Alstrøm, K. Christensen, H. Flyvbjerg, M. H. Jensen, B. Lautrup and K. Sneppen editor of the conference proceedings: "Complexity and Criticality. In memory of Per Bak (1947-2002)", Physica A 340 (4), (2004)

4. Recent reviews:

  1. With M. H. Jensen, G. Paladin and A. Vulpiani: "Dynamical systems approach to turbulence". Cambridge University Press 1998.
  2. "Studies in Turbulent dynamical systems", Dr. Scient. thesis, University of Copenhagen (1998). Based on my contributions to the above book.

5. Paedagogical writings:

  1. Several sections on non-linearity and chaos in the new edition of Alonso and Finn: Physics (Addison-Wesley 1992).
  2. The book: "Bevægelsens Uberegnelige Skønhed. Om kaos." (The Incalculable Beauty of Motion. On Chaos) Gyldendal 1992.
  3. "Naturvidenskabens demokratisering" (The Democratization of the Natural Sciences) in "Louisiana Revy" 33 (2), 10 (1993).
  4. Guest editor and contributor to a special issue on Chaos and Turbulence in the journal "KVANT" published by the Danish Physical Society (December 1993).
  5. Several articles for "Denmarks National Encyclopedia" including a long one on "Kaos".
  6. "Badekarshvirvlens anatomi", Naturens Verden, Årgang 87, nr. 7/8, s. 28.
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