Complexity, forced and/or self-organized criticality, and topological phase transitions in space plasmas

Space Science Reviews

Volumn 107, Issue 1-2, 2003, Pages 425-445

  Chang, Tom ^a   Tam, Sunny W Y ^a   Wu, Cheng Chin ^b   Consolini, Giuseppe ^c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c CNR   (Italy)

Author keywords

Complexity; Magnetotail; Plasma sheet

Indexed keywords

ACCELERATION; CONFERENCE PAPER; DIFFUSION; DYNAMICS; MAGNETIC FIELD; MAGNETISM; MEASUREMENT; MOLECULAR INTERACTION; NONLINEAR SYSTEM; PHASE TRANSITION; QUANTUM THEORY; SPACE; SUN; TURBULENT FLOW;

EID: 0142122801     PISSN: 00386308     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025502023494     Document Type: Conference Paper

References (47)

1. Angelopoulos, V., Coroniti, F. V., Kennel, C. F., Kivelson, M. G., Walker, R. J., Russell, C. T., McPherron, R. L., Sanchez, E., Meng, C. I., Baumjohann, W., Reeves, G. D., Belian, R. D., Sato, N., Fris-Christensen, E., Sutcliffe, P. R., Yumoto, K. and Harris, T.: 1996, 'Multi-point analysis of a BBF event on April 11, 1985', J. Geophys. Res. 101, 4967.
2. Angelopoulos, V., Mukai, T. and Kokubun, S.: 1999, 'Evidence for Intermittency in Earth's Plasma Sheet and Implications for Self-organized Criticality', Physics of Plasmas 6, 4161.
3. Bak, P., Chen, K. and Tang, C.: 1990, 'A Forest-fire Model and Some Thoughts on Turbulence', Phys. Lett. A147, 297.
4. Castaing, B., Gagne, Y. and Hopfinger, E. J.: 1990, 'Velocity Probability Density Functions of High Reynolds Number Turbulence', Physica D 46, 177.
5. Chang, T. and Stanley, H. E.: 1973, 'Renormalization-group Verification of Crossover with Respect to Lattice Anisotropy Parameter', Phys. Rev. B8, 1178.
6. Chang, T., Hankey, A. and Stanley, H. E.: 1973a, 'Double-power Scaling Functions Near Tricritical Points', Phys. Rev. B7, 4263.
7. Chang, T., Hankey, A. and Stanley, H. E.: 1973b, 'Generalized Scaling Hypothesis in Multicomponent Systems. I. Classification of Critical Points by Order and Scaling at Tricritical Points', Phys. Rev. B8, 346.
8. Chang, T., Nicoll, J. F. and Young, J. E.: 1978, 'A Closed-form Differential Renormalization-group Generator for Critical Dynamics', Phys. Lett. 67A, 287.
9. Chang, T.: 1992, 'Low-dimensional Behavior and Symmetry Breaking of Stochastic Systems near Criticality - Can these Effects be Observed in Space and in the Laboratory?', IEEE Trans. on Plasma Science 20, 691.
10. Chang, T., Vvedensky, D. D. and Nicoll, J. F.: 1992, 'Differential Renormalization-group Generators for Static and Dynamic Critical Phenomena', Physics Reports 217, 279.
11. Chang, T.: 1998a, 'Sporadic, Localized Reconnections and Multiscale Intermittent Turbulence in the Magnetotail', in J. L. Horwitz, D. L. Gallagher and W. K. Peterson (eds), Geospace Mass and Energy Flow, American Geophysical, Union, Washington, D. C., AGU Geophysical Monograph 104, p. 193.
12. Chang, T.: 1998b, 'Multiscale Intermittent Turbulence in the Magnetotail', in Y. Kamide et al. (eds), Proc. 4th Intern. Conf. on Substorms, Kluwer Academic Publishers, Dordrecht and Terra Scientific Publishing Company, Tokyo, p. 431.
13. Chang, T.: 1998c, 'Self-organized Criticality, Multi-fractal Spectra, and Intermittent Merging of Coherent Structures in the Magnetotail', in J. Büchner et al. (eds), Astrophysics and Space Science, Kluwer Academic Publishers, Dordrecht, the Netherlands, v. 264, p. 303.
14. Chang, T.: 1999, 'Self-organized Criticality, Multi-fractal Spectra, Sporadic Localized Reconnections and Intermittent Turbulence in the Magnetotail', Physics of Plasmas 6, 4137.
15. Chang, T.: 2001, 'Colloid-like Behavior and Topological Phase Transitions in Space Plasmas: Intermittent Low Frequency Turbulence in the Auroral zone', Physica Scripta T89, 80.
16. Chang, T.: 2002, "'Complexity" Induced Plasma Turbulence in Coronal Holes and the Solar Wind', in Solar Wind 10 (in press).
17. Chang, T. and Wu, C. C.: 2002, "'Complexity" and Anomalous Transport in Space Plasmas', Physics of Plasmas 9, 3679.
18. Chang, T., Wu, C. C. and Angelopoulos, V.: 2002, 'Preferential Acceleration of Coherent Magnetic Structures and Bursty Bulk Flows in Earth's Magnetotail', Physica Scripta T98, 48.
19. Chapman, S. C., Watkins, N.W., Dendy, R. G., Helander, P. and Rowlands, G.: 1998, 'A Simple Avalanche Model as an Analogue for Magnetospheric Activity', Geophys. Res. Lett. 25, 2397.
20. Consolini, G.: 1997, 'Sandpile Cellular Automata and Magnetospheric Dynamics', in S. Aiello, N. Lucci, G. Sironi, A. Treves and U. Villante (eds), Cosmic Physics in the Year 2000, Soc. Ital. di Fis., Bologna, Italy, pp. 123-126.
21. Consolini, G. and Chang, T.: 2001, 'Magnetic Field Topology and Criticality in Geotail Dynamics: Relevance to Substorm Phenomena', Space Sci. Rev. 95, 309.
22. Consolini, G.: 2002, 'Self-organized Criticality: A New Paradigm for the Magnetotail Dynamics', Fractals 10, 275.
23. Drossel, B. and Schwabl, F.: 1992, 'Self-organized Critical Forest-fire Model', Phys. Rev. Lett. 69, 1629.
24. Fairfield, D. H., Mukai, T., Brittnacher, M., Reeves, G. D., Kokubun, S., Parks, G. K., Nagai, T., Matsumoto, H., Hashimoto, K., Gurnett, D. A. and Yamamoto, T.: 1999, 'Earthward Flow Bursts in the Inner Magnetotail and Their Relation to Auroral Brightenings, AKR Intensifications, Geosynchronous Particle Injections and Magnetic Activity', J. Geophys. Res. 104, 355-370.
25. Farge, M., Holschneider, M. and Colonna, J. F.: 1990, 'Wavelet Analysis of Coherent Two Dimensional Turbulent Flows', in H. K. Moffat (ed.), Topological Fluid Mechanics, Cambridge University Press, Cambridge, p. 765.
26. Germany, G. A., Parks, G. K., Ranganath, H., Elsen, R., Richards, P. G., Swift, W., Spann, J. F. and Brittnacher, M.: 1998, 'Analysis of Auroral Morphology: Substorm Precursor and Onset on January 10, 1997', Geophys. Res. Lett. 25, 3043-3046.
27. Gil, L. and Sornette, D.: 1996, 'Laudau-Ginzburg Theory of Self-organized Criticality', Phys. Rev. Lett. 76, 3991.
28. Ieda, A., Fairfield, D. H., Mukai, T., Saito, Y., Kokubun, S., Liou, K., Meng, C.-I., Parks, G. K. and Brittnacher, M. J.: 2001, 'Plasmoid Ejection and Auroral Brightenings', J. Geophys. Res. 106, 3845-3857.
29. Loreto, V., Pietronero, L., Vespignani, A. and Zapperi, S.: 1995, 'Renormalization Group Approach to the Critical Behavior of the Forest-fire Model', Phys. Rev. Lett. 75, 465.
30. Lu, E. T.: 1995, 'Avalanches in Continuum Driven Dissipative Systems', Phys. Rev. Lett. 74, 2511-2514.
31. Lui, A. T. Y.: 1996, 'Current Disruptions in the Earth's Magnetosphere: Observations and Models', J. Geophys. Res. 101, 4899.
32. Lui, A. T. Y.: 1998, 'Plasma Sheet Behavior Associated with Auroral Breakups', in Y. Kamide (ed.), Proc. 4th Intern. Conf. on Substorms, Kluwer Academic Publishers, Dordrecht and Terra Scientific Publishing Company, Tokyo, p. 183.
33. Lui, A. T. Y., Chapman, S. C., Liou, K., Newell, P. T., Meng, C. I., Brittnacher, M. and Parks, G. D.: 2000, 'Is the Dynamic Magnetosphere an Avalanching System?', Geophys. Res. Lett. 27, 911-914.
34. Lyons, L. R., Nagai, T., Blanchard, G. T., Samson, J. C. Yamamoto, T., Mukai, T., Nishida, A. and Kokubun, S.: 1999, 'Association Between Geotail Plasma Flows and Auroral Poleward Boundary Intensifications Observed by CANOPUS Photometers', J. Geophys. Res. 104, 4485-4500.
35. Matthaeus, W. H. and Goldstein, M. L.: 1986, 'Low-frequency 1/f Noise in the Interplanetary Magnetic Field', Phys. Rev. Lett. 57, 495.
36. Nagai, T., Fujimoto, M., Saito, Y., Machida, S. et al.: 1998, 'Structure and Dynamics of Magnetic Reconnection for Substorm Onsets with Geotail Observations', J. Geophys. Res. 103, 4419.
37. Nakamura, R., Baumjohann, W., Brittnacher, M., Sergeev, V. A., Kubyshkina, M., Mukai, T. and Liou, K.: 2001a, 'Flow Bursts and Auroral Activations: Onset Timing and Foot Point Location', J. Geophys. Res. 106, 10777-10789.
38. Nakamura, R., Baumjohann, W., Schodel, R., Brittnacher, M., Sergeev, V. A., Kubyshkina, M., Mukai, T. and Liou, K.: 2001b, 'Earthward Flow Bursts, Auroral Streamers, and Small Expansions', J. Geophys. Res. 106, 10791-10802.
39. Newell, P. T., Liou, K., Sotirelis, T. and Meng, C. I.: 2001, 'Polar Ultraviolet Imager Observations of Global Auroral Power as a Function of Polar Cap Size and Magnetotail Stretching', J. Geophys. Res. 106, 5895-5905.
40. Nicoll, J. F., Chang, T. and Stanley, H. E.: 1974, 'Nonlinear Solutions of Renormalization-group Equations', Phys. Rev. Lett. 32, 1446.
41. Nicoll, J. F., Chang, T. and Stanley, H. E.: 1976, 'Nonlinear Crossover Between Critical and Tricritical Behavior', Phys. Rev. Lett. 36, 113.
42. Sergeev, V. A., Liou, K., Meng, C. I., Newell, P. T., Brittnacher, M., Parks, G. and Reeves, G. D.: 1999, 'Development of Auroral Streamers in Association with Localized Impulsive Injections to the Inner Magnetotail', Geophys. Res. Lett. 26, 417-420.
43. Tam, S. W. Y., Chang, T., Consolini, G. and de Michelis, P.: 2000, 'Renormalization-group Description and Comparison with Simulation Results for Forest-fire Models - Possible Near-criticality Phenomenon in the Dynamics of Space Plasmas', Trans. Amer. Geophys. Union, EOS 81, SM62A-04.
44. Uritsky, V. M., Klimas, A. J., Vassiliadis, D., Chua, D. and Parks, G. D.: 2002, 'Scale-free Statistics of Spatiotemporal Auroral Emissions as Depicted by POLAR UVI Images: The Dynamic Magnetosphere is an Avalanching System', J. Geophys. Res. (in press).
45. Wu, C. C. and Chang, T.: 2000a, '2D MHD Simulation of the Emergence and Merging of Coherent Structures', Geophys. Res. Lett. 27, 863.
46. Wu, C. C. and Chang, T.: 2000b, 'Dynamical Evolution of Coherent Structures in Intermittent Two-dimensional MHD Turbulence', IEEE Trans. on Plasma Science 28, 1938.
47. Wu, C. C. and Chang, T.: 2001, 'Further Study of the Dynamics of Two-dimensional MHD Coherent Structures - A Large Scale Simulation', J. Atmos. Sci. Terrest. Phys. 63, 1447.