Artículo

McAteer, R.T.J.; Aschwanden, M.J.; Dimitropoulou, M.; Georgoulis, M.K.; Pruessner, G.; Morales, L.; Ireland, J.; Abramenko, V. "25 Years of Self-organized Criticality: Numerical Detection Methods" (2016) Space Science Reviews. 198(1-4):217-266
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Abstract:

The detection and characterization of self-organized criticality (SOC), in both real and simulated data, has undergone many significant revisions over the past 25 years. The explosive advances in the many numerical methods available for detecting, discriminating, and ultimately testing, SOC have played a critical role in developing our understanding of how systems experience and exhibit SOC. In this article, methods of detecting SOC are reviewed; from correlations to complexity to critical quantities. A description of the basic autocorrelation method leads into a detailed analysis of application-oriented methods developed in the last 25 years. In the second half of this manuscript space-based, time-based and spatial-temporal methods are reviewed and the prevalence of power laws in nature is described, with an emphasis on event detection and characterization. The search for numerical methods to clearly and unambiguously detect SOC in data often leads us outside the comfort zone of our own disciplines—the answers to these questions are often obtained by studying the advances made in other fields of study. In addition, numerical detection methods often provide the optimum link between simulations and experiments in scientific research. We seek to explore this boundary where the rubber meets the road, to review this expanding field of research of numerical detection of SOC systems over the past 25 years, and to iterate forwards so as to provide some foresight and guidance into developing breakthroughs in this subject over the next quarter of a century. © 2015, Springer Science+Business Media Dordrecht.

Registro:

Documento: Artículo
Título:25 Years of Self-organized Criticality: Numerical Detection Methods
Autor:McAteer, R.T.J.; Aschwanden, M.J.; Dimitropoulou, M.; Georgoulis, M.K.; Pruessner, G.; Morales, L.; Ireland, J.; Abramenko, V.
Filiación:Solar Physics and Space Weather, Department of Astronomy, New Mexico State University, P.O. Box 30001, Las Cruces, MSC 4500, United States
Lockheed Martin, Solar and Astrophysics Laboratory (LMSAL), STAR Labs, A021S, Bldg. 252, 3251 Hanover St., Palo Alto, CA 94304, United States
Dept. Physics, Kapodistrian University of Athens, Athens, 15483, Greece
Research Center Astronomy and Applied Mathematics, Academy of Athens, 4 Soranou Efesiou Street, Athens, 11527, Greece
Dept. Mathematics, Imperial College London, 180 Queen’s Gate, London, SW7 2AZ, United Kingdom
Departamento de Física, Instituto de Física Plasmas (CONICET), Universidad de Buenos Aires, Buenos Aires, Argentina
ADNET Systems, Inc., NASA Goddard Space Flight Center, MC. 671.1, Greenbelt, MD 20771, United States
Space Weather Prediction Laboratory, Department of Solar Physics, Central Astronomical Observatory of Russian Academy of Science at Pulkovo, 65 Pulkovskoe Sh., St. Petersburg, 196140, Russian Federation
Big Bear Solar Observatory of NJIT, 40386 N Shore Dr, Big Bear City, CA 92314, United States
Palabras clave:Numerical methods; Self organized criticality; Criticality (nuclear fission); Application-oriented; Autocorrelation methods; Comfort zone; Detection methods; Event detection; Scientific researches; Self-organized criticality; Spatial temporals; Numerical methods
Año:2016
Volumen:198
Número:1-4
Página de inicio:217
Página de fin:266
DOI: http://dx.doi.org/10.1007/s11214-015-0158-7
Título revista:Space Science Reviews
Título revista abreviado:Space Sci Rev
ISSN:00386308
CODEN:SPSRA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00386308_v198_n1-4_p217_McAteer

Referencias:

  • Abramenko, V.I., (2005) Sol. Phys, 228, p. 29
  • Abramenko, V.I., (2005) Astrophys. J, 629, p. 1141
  • Abramenko, V.I., Yurchyshyn, V.B., (2010) Astrophys. J, 722, p. 122
  • Abramenko, V.I., Yurchyshyn, V.B., Wang, H., Spirock, T.J., Goode, P.R., (2002) Astrophys. J, 577, p. 487
  • Abramenko, V.I., Yurchyshyn, V.B., Wang, H., Spirock, T.J., Goode, P.R., (2003) Astrophys. J, 597, p. 1135
  • Anderson, T.W., (1971) The Statistical Analysis of Time Series, , Wiley, New York
  • Aschwanden, M.J., (2011) Self-organized Criticality in Astrophysics. The Statistics of Nonlinear Processes in the Universe, , Springer, New York
  • Aschwanden, M.J., (2012) Astrophys. J, 757, p. 94
  • Aschwanden, M.J., (2014) Astrophys. J, 782, p. 54
  • Aschwanden, M.J., Freeland, S.R., (2012) Astrophys. J, 754, p. 112
  • Aschwanden, M.J., McTiernan, J.M., (2010) Astrophys. J, 717, p. 683
  • Aschwanden, M.J., Parnell, C.E., (2002) Astrophys. J, 572, p. 1048
  • Aschwanden, M.J., Shimizu, T., (2013) Astrophys. J, 776, p. 132
  • Aschwanden, M.J., Nightingale, R.W., Tarbell, T.T., Wolfson, C.J., (2000) Astrophys. J, 535, p. 1027
  • Aschwanden, M.J., Tarbell, T.T., Nightingale, R.W., Schrijver, C.J., Title, A., Kankelborg, C.C., Martens, P., Warren, H.P., (2000) Astrophys. J, 535, p. 1047
  • Aschwanden, M.J., Zhang, J., Liu, K., (2013) Astrophys. J, 775, p. 23
  • M.J. Aschwanden, N.B. Crosby, M. Dimitropoulou, M.K. Georgoulis, S. Hergarten, R.T.J. McAteer, A.V. Milovanov, S. Mineshige, L. Morales, N. Nishizuka, G. Pruessner, R. Sanchez et al., Space Sci. Rev. (2014, this issue); Auchère, F., Bocchialini, K., Solomon, J., Tison, E., (2014) Astron. Astrophys, 563
  • Bak, P., Tang, C., Wiesenfeld, K., (1987) Phys. Rev. Lett, 59, p. 381
  • Barabási, A.-L., Stanley, H.E., (1995) Fractal Concepts in Surface Growth, , Cambridge University Press, Cambridge
  • Barber, M.N., (1983) Phase Transitions and Critical Phenomena, pp. 145-266. , Domb C., Lebowitz J.L., (eds), 8, Academic Press, New York
  • Barenblatt, G.I., (1996) Scaling, Self-similarity, and Intermediate Asymptotics, , Cambridge University Press, Cambridge
  • Barrat, J.-L., Hansen, J.-P., (2003) Basic Concepts for Simple and Complex Liquids, , Cambridge University Press, Cambridge
  • Batty, M., Longley, P., Fotheringham, S., (1989) Environ. Plan. A, 21, pp. 1447-1472
  • Bemporad, A., Matthaeus, W.H., Poletto, G., (2008) Astrophys. J. Lett, 677
  • Benz, A.O., Krucker, S., (2002) Astrophys. J, 568, p. 413
  • Berges, J., Tetradis, N., Wetterich, C., (2002) Phys. Rep, 363 (4-6), p. 223
  • D.A. Biesecker Ph.D. thesis, University of New Hampsire, 1994; Binder, K., (1981) Z. Phys. B, 43, p. 119
  • Boffetta, G., Carbone, V., Giuliani, P., Veltri, P., Vulpiani, A., (1999) Phys. Rev. Lett, 83, p. 4662
  • Bonachela, J.A., Muñoz, M., (2007) Physica A, 384, p. 89
  • Buchlin, E., Galtier, S., Velli, M., (2005) Astron. Astrophys, 436, p. 355
  • Buchlin, E., Vial, J.C., Lemaire, P., (2006) Astron. Astrophys, 451, p. 1091
  • Charbonneau, P., McIntosh, S.W., Liu, H.L., Bogdan, T.J., (2001) Sol. Phys, 203, p. 321
  • Chatfield, C., (1996) The Analysis of Time Series an Introduction, , Chapman & Hall, London
  • Christensen, K., Olami, Z., (1992) J. Geophys. Res, 97, p. 8729
  • Christensen, K., Olami, Z., (1992) J. Geophys. Res, 97 (B6), p. 8729
  • Christensen, K., Farid, N., Pruessner, G., Stapleton, M., (2008) Eur. Phys. J. B, 62 (3), p. 331
  • Clauset, A., Shalizi, C.R., Newman, M.E.J., (2009) SIAM Rev, 51 (4), p. 661
  • Conlon, P.A., Gallagher, P.T., McAteer, R.T.J., Ireland, J., Young, C.A., Kestener, P., Hewett, R.J., Maguire, K., (2008) Sol. Phys, 248, p. 297
  • Conlon, P.A., McAteer, R.T.J., Gallagher, P.T., Fennell, L., (2010) Astrophys. J, 722, p. 577
  • Consolini, G., Berrilli, E., Pietropaolo, E., Bruno, R., Carbone, V., Bavassano, B., Ceppatelli, G., (1999) Magnetic Fields and Solar Processes, p. 209. , ESA, SP-448, ESA, Paris
  • Crocker, J.C., Grier, D.G., (1996) J. Colloid Interface Sci, 179, p. 298
  • N.B. Crosby Ph.D. thesis, Universite Paris VII, Paris, 1996; DeForest, C.E., Hagenaar, H.J., Lamb, D.A., Parnell, C.E., Welsch, B.T., (2007) Astrophys. J, 666, p. 576
  • Dendy, R.O., Helander, P., Tagger, M., (1998) Astron. Astrophys, 337, p. 962
  • D. Dhar (1999), arXiv:cond-mat/9909009; Dimitropoulou, M., Isliker, H., Vlahos, L., Georgoulis, M.K., (2011) Astron. Astrophys, 529, p. 101
  • Dimitropoulou, M., Isliker, H., Vlahos, L., Georgoulis, M.K., (2013) Astron. Astrophys, 553, p. 65
  • Drossel, B., Schwabl, F., (1992) Phys. Rev. Lett, 69, p. 1629
  • Edwards, S.F., Wilkinson, D.R., (1982) Proc. R. Soc. A, 381 (1780), p. 17
  • Efron, B., (1982) The Jackknife, the Bootstrap and Other Resampling Plans, , SIAM, Philadelphia
  • Falconer, K.J., (2003) Fractal Geometry, , Wiley, London
  • Falconer, R.C., Woods, R.E., (2008) Digital Image Processing, , Pearson Education, Upper Saddle River
  • Family, F., Vicsek, T., (1985) J. Phys. A, Math. Gen, 18 (2)
  • Feder, J., (1988) Fractals, , Plenum, New York
  • Frisch, U., (1995) Turbulence, the Legacy of A.N. Kolmogorov, , Cambridge University Press, Cambridge
  • Georgoulis, M.K., (2012) Sol. Phys, 276, p. 161
  • M.K. Georgoulis Ph.D. thesis, Aristotelian University, Thessaloniki, Greece, 2000; Georgoulis, M.K., Vlahos, L., (1996) Astrophys. J, 469
  • Georgoulis, M.K., Vlahos, L., (1998) Astrophys. J, 336, p. 721
  • Georgoulis, M.K., Rust, D.M., Bernasconi, P.N., Schmieder, B., (2002) Astrophys. J, 575, p. 506
  • Grinstein, G., (1995) Scale Invariance, Interfaces, and Non-equilibrium Dynamics, pp. 261-293. , McKane A., Droz M., Vannimenus J., Wolf D., (eds), Plenum, New York: See also in NATO Advanced Study Institute on Scale Invariance, Interfaces, and Non-Equilibrium Dynamics, Cambridge, UK, Jun 20–30 (1994)
  • Gupta, G.R., (2014) Astron. Astrophys, 568
  • Hamon, D., Nicodemi, M., Jensen, H.J., (2002) Astron. Astrophys, 387, p. 326
  • Havlin, S., Bunde, A., (1996) Fractals and Disordered Systems, , Springer, Berlin
  • Hewett, R.J., Gallagher, P.T., McAteer, R.T.J., (2008) Sol. Phys, 248, p. 311
  • Holm, C., Janke, W., (1993) Phys. Rev. B, 48 (2), p. 936
  • Hwa, T., Kardar, M., (1989) Phys. Rev. Lett, 62 (16), p. 1813
  • Ireland, J., McAteer, R.T.J., Inglis, A.R., (2015) Astrophys. J, 798, p. 1
  • Ivezić, Ž., Tabachnik, S., Rafikov, R., Lupton, R.H., Quinn, T., Hammergren, M., Eyer, L., Geballe, T.R., (2001) Astron. J, 122, p. 2749
  • Kadanoff, L.P., (1991) Phys. Today, 44, p. 9
  • Kadanoff, L.P., Nagel, S.R., Wu, L., Zhou, S.-M., (1989) Phys. Rev. A, 39, p. 6524
  • Kestener, P., Conlon, P.A., Khalil, A., Fennell, L., McAteer, R.T.J., Gallagher, P.T., Arneodo, A., (2010) Astrophys. J, 717, p. 995
  • Kirk, M.S., Balasubramaniam, K.S., Jackiewicz, J., McAteer, R.T.J., Milligan, R.O., (2012) Astrophys. J, 750, p. 145
  • Kirk, M.S., Balasubramaniam, K.S., Jackiewicz, J., McNamara, B.J., McAteer, R.T.J., (2013) Sol. Phys, 283, p. 97
  • Kolmogorov, A.N., (1941) Dokl. Akad. Nauk SSSR, 30, p. 299
  • Kolmogorov, A.N., (1962) Mecanique de la turbulence, , Coll. Intern. du CNRS a Marseille, 447
  • Kolmogorov, A.N., (1962) J. Fluid Mech, 13, p. 82
  • Krucker, S., Benz, A.O., (1998) Astrophys. J, 501
  • Krug, J., (1997) Adv. Phys, 46 (2), p. 139
  • Lamb, D.A., DeForest, C.E., Hagenaar, H.J., Parnell, C.E., Welsch, B.T., (2008) Astrophys. J, 674, p. 520
  • Lamb, D.A., DeForest, C.E., Hagenaar, H.J., Parnell, C.E., Welsch, B.T., (2010) Astrophys. J, 720, p. 1405
  • Lawrence, J.K., Cadavid, A.C., Ruzmaikin, A.A., (1993) Astrophys. J, 417, p. 805
  • Lise, S., (2002) J. Phys. A, Math. Gen, 35 (22), p. 4641
  • Liu, W., Morales, L., Charbonneau, P., Uritsky, V., (2010) J. Geophys. Res, 116
  • López, J.M., (1999) Phys. Rev. Lett, 83 (22), p. 4594
  • Lu, E.T., Hamilton, R.J., (1991) Astrophys. J, 380
  • Lu, E.T., Hamilton, R.J., McTiernan, J.M., Bromund, K.R., (1993) Astrophys. J, 412, p. 841
  • Lübeck, S., (2004) Int. J. Mod. Phys. B, 18 (31-32), p. 3977
  • Lübeck, S., Heger, P.C., (2003) Phys. Rev. E, 68 (5). , (11 pp.)
  • Lui, A.T.Y., Liou, K., Newell, P.T., Meng, C.I., Ohtani, S., McEntire, R.W., Fox, N.J., Kokubun, S., (2000) Geophys. Res. Lett, 27, p. 1831
  • Mandelbrot, B.B., (1975) Les objets fractals, forme, hasard et dimension, , Flammarion, Paris
  • Manna, S.S., (1991) J. Phys. A, Math. Gen, 24 (7)
  • McAteer, R.T.J., (2013) SOC and Fractal Geometry in Self Organized Criticality Systems, p. 73. , http://ojs.antek666.website.pl/SOC3.pdf, Aschawnden M., (ed), 3
  • R.T.J. McAteer, Sol. Phys. (2015); R.T.J. McAteer, Low frequency oscillations of the solar atmosphere. Ph.D. thesis, Queen’s University Belfast, 2003; McAteer, R.T.J., Bloomfield, D.S., (2013) Astrophys. J, 776, p. 66
  • McAteer, R.T.J., Gallagher, P.T., Williams, D.R., Mathioudakis, M., Phillips, K.J.H., Keenan, F.P., (2002) Astrophys. J, 567
  • McAteer, R.T.J., Gallagher, P.T., Williams, D.R., Mathioudakis, M., Bloomfield, D.S., Phillips, K.J.H., Keenan, F.P., (2003) Astrophys. J, 587, p. 806
  • McAteer, R.T.J., Gallagher, P.T., Ireland, J., (2005) Astrophys. J, 631, p. 628
  • McAteer, R.T.J., Young, C.A., Ireland, J., Gallagher, P.T., (2007) Astrophys. J, 662, p. 691
  • McAteer, R.T.J., Gallagher, P.T., Conlon, P.A., (2010) Adv. Space Res, 45, p. 1067
  • McIntosh, S.W., Charbonneau, P., (2001) Astrophys. J. Lett, 563
  • Monin, A.S., Yaglom, A.M., (1975) Statistical Fluid Mechanics, vol. 2, , MIT Press, Cambridge
  • Morales, L., Charbonneau, P., (2008) Geophys. Res. Lett, 35, p. 4108
  • Morales, L., Charbonneau, P., (2008) Astrophys. J, 682, p. 654
  • Muñoz, M., Dickman, R., Vespignani, A., Zapperi, S., (1999) Phys. Rev. E, 59 (5), p. 6175
  • Neumann, J.V., (1966) The Theory of Self-reproducing Automata, , University of Illinois Press, Champaign
  • Newman, M., (2005) Contemp. Phys, 46, p. 323
  • Newman, M., (2005) Contemp. Phys, 46 (5), p. 323
  • Newman, M.E.J., Barkema, G.T., (1999) Monte Carlo Methods in Statistical Physics, , Oxford University Press, New York
  • Newman, D., Carreras, B.A., Diamond, P.H., Hahm, T.S., (1996) Phys. Plasmas, 3, p. 1858
  • Olami, Z., Feder, H.J.S., Christensen, K., (1992) Phys. Rev. Lett, 68, p. 1244
  • Paczuski, M., Boettcher, S., (1996) Phys. Rev. Lett, 77 (1), p. 111
  • Parnell, C.E., (2002) Mon. Not. R. Astron. Soc, 335, p. 389
  • Parnell, C.E., Jupp, P.E., (2000) Astrophys. J, 529, p. 554
  • Parnell, C.E., DeForest, C.E., Hagenaar, H.J., Johnston, B.A., Lamb, D.A., Welsch, B.T., (2009) Astrophys. J, 698, p. 75
  • Pearce, G., Rowe, A.K., Yeung, J., (1993) Astrophys. Space Sci, 208, p. 99
  • Perrin, J., (1920) Atoms, , Constable, London: Translated by D. Ll. Hammick
  • L. Pickering, G. Pruessner, K. Christensen, Avalanche size moments in soc models are linear in the driving (2015, in preparation); Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in C, , Cambridge University Press, New York
  • Pruessner, G., (2003) Phys. Rev. E, 67 (3). , (4 pp.)
  • Pruessner, G., (2004) Phys. Rev. Lett, 92 (24). , (4 pp.)
  • Pruessner, G., (2004) J. Phys. A, Math. Gen, 37 (30), p. 7455
  • Pruessner, G., (2008) New J. Phys, 10 (11). , (13 pp.)
  • Pruessner, G., (2012) Self-organised Criticality, , Cambridge University Press, Cambridge
  • Pruessner, G., (2013) Int. J. Mod. Phys. B, 27 (5)
  • G. Pruessner, The field theory of self-organised criticality (2015, in preparation); Reardon, K.P., Lepreti, F., Carbone, V., Vecchio, A., (2008) Astrophys. J. Lett, 683
  • Sanchez, R., Newman, D.E., Carreras, B.A., (2002) Phys. Rev. Lett, 88, p. 6
  • Schottky, W., (1918) Ann. Phys, 362 (23), p. 541. , 1521-3889
  • Schroeder, R.R., (2000) Fractals, Chaos, Power Laws, , Freeman, New York
  • Sokolov, A., Melatos, A., Kieu, T., Webster, R., (2015) Physica A, 428, p. 295
  • Spada, E., Carbone, V., Cavazzana, R., Fattorini, L., Regnoli, G., Vianello, N., Antoni, V., Tramontin, L., (2001) Phys. Rev. Lett, 86, p. 3032
  • Stanley, H.E., (1971) Introduction to Phase Transitions and Critical Phenomena, , Oxford University Press, New York
  • Starck, J., Murtagh, F., (2006) Astronomical Image and Data Analysis, , Springer, Berlin
  • Stolovitzky, G., Sreenivasan, K., (1992) Phys. Rev. E, 48
  • Strauss, W.A., (2007) Partial Differential Equations, , Wiley, Chichester
  • Turcotte, D.L., Smalley Jn, R.F., Solla, S.A., (1985) Nature, 313, p. 604
  • Uritsky, V.M., Klimas, A.J., Vassiliadis, D., Chua, D., Parks, G., (2002) J. Geophys. Res. Space Phys, 107, p. 1426
  • Uritsky, V.M., Paczuski, M., Davilla, J., Jones, S.I., (2007) Phys. Rev. Lett, 99
  • van Kampen, N.G., (1992) Stochastic Processes in Physics and Chemistry, , Elsevier, Amsterdam: Third impression 2001, enlarged and revised
  • Vaughan, S., (2010) Mon. Not. R. Astron. Soc, 402, p. 307
  • Wheatland, M.S., (2000) Astrophys. J. Lett, 536
  • Wheatland, M.S., Litvinenko, Y.E., (2002) Sol. Phys, 211, p. 255
  • Wheatland, M.S., Sturrock, P.A., McTiernan, J.M., (1998) Astrophys. J, 509, p. 448
  • White, E.P., Enquist, B.J., Green, J.L., (2008) Ecology, 89 (4), p. 905
  • Wiegelmann, T., (2008) J. Geophys. Res, 113
  • Zebker, H.A., Marouf, E.A., Tyler, G.L., (1985) Icarus, 64, p. 531
  • Ziel, A.V.D., (1950) Physica, 16 (4), p. 359. , 0031-8914

Citas:

---------- APA ----------
McAteer, R.T.J., Aschwanden, M.J., Dimitropoulou, M., Georgoulis, M.K., Pruessner, G., Morales, L., Ireland, J.,..., Abramenko, V. (2016) . 25 Years of Self-organized Criticality: Numerical Detection Methods. Space Science Reviews, 198(1-4), 217-266.
http://dx.doi.org/10.1007/s11214-015-0158-7
---------- CHICAGO ----------
McAteer, R.T.J., Aschwanden, M.J., Dimitropoulou, M., Georgoulis, M.K., Pruessner, G., Morales, L., et al. "25 Years of Self-organized Criticality: Numerical Detection Methods" . Space Science Reviews 198, no. 1-4 (2016) : 217-266.
http://dx.doi.org/10.1007/s11214-015-0158-7
---------- MLA ----------
McAteer, R.T.J., Aschwanden, M.J., Dimitropoulou, M., Georgoulis, M.K., Pruessner, G., Morales, L., et al. "25 Years of Self-organized Criticality: Numerical Detection Methods" . Space Science Reviews, vol. 198, no. 1-4, 2016, pp. 217-266.
http://dx.doi.org/10.1007/s11214-015-0158-7
---------- VANCOUVER ----------
McAteer, R.T.J., Aschwanden, M.J., Dimitropoulou, M., Georgoulis, M.K., Pruessner, G., Morales, L., et al. 25 Years of Self-organized Criticality: Numerical Detection Methods. Space Sci Rev. 2016;198(1-4):217-266.
http://dx.doi.org/10.1007/s11214-015-0158-7