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100th anniversary of the birth of Ya.B. Zeldovich


Climate as a game of chance


Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, 91109-0899, USA

The paper uses general concepts and simple models to examine the role of randomness in chaotic systems, like the Earth’s climate, response to external forcing. The response of a simple homogeneous system is determined by its correlation function in accord with the Fluctuation Dissipation Theorem. A structured (patterned) system responds in a more complicated way. Whereas its mean state (for example, the Earth’s global temperature) changes only slightly, extreme events (such as floods and droughts) increase more dramatically in number. The statistics of extremes reveals remarkable properties, in particular, clustering (troubles never come alone, the saying goes) and are here illustrated by precipitation and space climate processes.

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Fulltext is also available at DOI: 10.3367/UFNe.0184.201403f.0297
PACS: 02.50.−r, 05.45.−a, 92.05.Df (all)
DOI: 10.3367/UFNe.0184.201403f.0297
URL: https://ufn.ru/en/articles/2014/3/g/
000337360600006
2-s2.0-84902131885
2014PhyU...57..280R
Citation: Ruzmaikin A "Climate as a game of chance" Phys. Usp. 57 280–291 (2014)
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Received: 21st, October 2013, revised: 9th, December 2013, 10th, December 2013

Оригинал: Рузмайкин А «Климат как игра случая» УФН 184 297–311 (2014); DOI: 10.3367/UFNr.0184.201403f.0297

References (78) ↓ Cited by (11) Similar articles (3)

  1. Zeldovich Ya B, Ruzmaikin A A, Sokoloff D D The Almighty Chance (Lecture Notes in Physics) Vol. 20 (Singapore: World Scientific, 1990)
  2. Landau L D, Lifshits E M Mekhanika Sploshnykh Sred (M.: GITTL, 1953); Landau L D, Lifshitz E M Fluid Mechanics (London: Pergamon Press, 1959)
  3. Ruelle D, Takens F Commun. Math. Phys. 20 167 (1971)
  4. Zel’dovich Ya B, Molchanov S A, Ruzmaikin A A, Sokolov D D Zh. Eksp. Teor. Fiz. 89 2061 (1985); Zel’dovich Ya B, Molchanov S A, Ruzmaikin A A, Sokolov D D Sov. Phys. JETP 62 1188 (1985)
  5. Zeldovich Ya B, Molchanov S A, Ruzmaikin A A, Sokoloff D D Sov. Sci. Rev. C Math. Phys. Rev. 7 1 (1988)
  6. IPCC — Intergovernmental Panel on Climate Change, (2013) http://www.ipcc.ch/, publications
  7. Byalko A V Usp. Fiz. Nauk 182 111 (2012); Byalko A V Phys. Usp. 55 103 (2012)
  8. Demchenko P F, Kislov A V Stokhasticheskaya Dinamika Prirodnykh Ob’’ektov: Brounovskoe Dvizhenie i Geofizicheskie Prilozheniya (M.: GEOS, 2010)
  9. Golitsyn G S Statistika i Dinamika Prirodnykh Protsessov i Yavlenii: Metody, Instrumentarii, Rezul’taty (M.: KRASAND, 2013)
  10. Lovejoy S "What is climate?" EOS Trans. Am. Geophys. Union 94 (1) 1 (2013)
  11. Nyquist H Phys. Rev. 32 110 (1928)
  12. Callen H B, Welton T A Phys. Rev. 83 34 (1951)
  13. Kubo R J. Phys. Soc. Jpn. 12 570 (1957)
  14. Kraichnan R H Phys. Rev. 113 1181 (1959)
  15. Landau L D, Lifshits E M, Pitaevskii L P Elektrodinamika Sploshnykh Sred 2-e izd. (M.: Nauka, 1982); Landau L D, Lifshitz E M, Pitaevskii L P Electrodynamics Of Continuous Media 2nd ed. (Oxford: Pergamon Press, 1984)
  16. Leith C E J. Atmos. Sci. 32 2022 (1975)
  17. Gritsun A, Branstator G J. Atmos. Sci. 64 2558 (2007)
  18. Dymnikov V P, Gritsun A S Nonlin. Processes Geophys. 8 201 (2001)
  19. Dymnikov V P, Gritsun A S Izv. RAN Fiz. atmosfery i okeana 41 294 (2005); Dymnikov V P, Gritsun A S Izv. Atmos. Ocean. Phys. 41 266 (2005)
  20. Gritsun A S Russ. J. Numer. Anal. Math. Model. 16 115 (2001)
  21. Pitaevskii L P Usp. Fiz. Nauk 181 647 (2011); Pitaevskii L P Phys. Usp. 54 625 (2011)
  22. Bochkov G N, Kuzovlev Yu E Zh. Eksp. Teor. Fiz. 76 1071 (1979); Bochkov G N, Kuzovlev Yu E Sov. Phys. JETP 49 543 (1979)
  23. Jarzynski C Phys. Rev. Lett. 78 2690 (1997)
  24. Lorenz E N J. Atmos. Sci. 20 130 (1963)
  25. Khatiwala S, Shaw B E, Cane M A Geophys. Res. Lett. 28 2633 (2001)
  26. Kramers H A Physica 7 284 (1940)
  27. Walker G Quart. J. R. Meteorol. Soc. 54 79 (1928)
  28. Obukhov A M Usp. Mat. Nauk 2 (2) 196 (1947)
  29. Quadrelli R, Wallace J M J. Climate 17 3728 (2004)
  30. Hurrell J W Science 269 676 (1995)
  31. Thompson D W J, Wallace J M Geophys. Res. Lett. 25 1297 (1998)
  32. Thompson D W J, Wallace J M Science 293 85 (2001)
  33. Honda M, Inoue J, Yamane S Geophys. Res. Lett. 36 L08707 (2009)
  34. Petoukhov V, Semenov V A J. Geophys. Res. Atmos. (D21) (2010)
  35. Wallace J M, Zhang Y, Renwick J A Science 270 780 (1995)
  36. Mantua N J Bull. Amer. Meteor. Soc. 78 1069 (1997)
  37. Philander S G El Niño, La Niña, And The Southern Oscillation (San Diego: Academic Press, 1990)
  38. Baldwin M P Rev. Geophys. 39 179 (2001)
  39. Thompson D W J, Baldwin M P, Wallace J M J. Climate 15 1421 (2002)
  40. Rossby C G "The scientific basis of modern meteorology" Climate And Man. Yearbook Of Agriculture (Washington: United States Department of Agriculture, 1941) p. 599
  41. Charney J G, Drazin P G J. Geophys. Res. 66 83 (1961)
  42. Limpasuvan V, Hartmann D L J. Climate 13 4414 (2000)
  43. Ruzmaikin A, Lawrence J, Cadavid C J. Climate 16 1593 (2003)
  44. Ruzmaikin A, Feynman J, Yung Y L J. Geophys. Res. Atmos. (D21) (2006)
  45. Ruzmaikin A, Cadavid A C, Lawrence J K J. Atmos. Solar-Terr. Phys. 68 1311 (2006)
  46. Corti S, Molteni F, Palmer T N Nature 398 799 (1999)
  47. Palmer T N J. Climate 12 575 (1999)
  48. Ruzmaikin A Geophys. Res. Lett. 31 L12201 (2004)
  49. Hall A J. Climate 18 1315 (2005)
  50. Fisher R A, Tippett L H C Proc. Camb. Philos. Soc. 24 180 (1928)
  51. Gnedenko B Ann. Math. 44 423 (1943)
  52. Stoev S A, Michailidis G, Taqqu M S IEEE Trans. Inform. Theory 57 1615 (2011)
  53. Ruzmaikin A, Feynman J, Stoev S A J. Geophys. Res. Space Phys. (A4) (2011)
  54. Golitsyn G S Usp. Fiz. Nauk 178 753 (2008); Golitsyn G S Phys. Usp. 51 723 (2008)
  55. Golitsyn G S Dokl. Ross. Akad. Nauk 398 177 (2004); Golitsyn G S Dokl. Phys. 49 501 (2004)
  56. Hamidieh K, Stoev S, Michailidis G J. Comput. Graph. Stat. 18 731 (2009)
  57. Leadbetter M R, Lindgren G, Rootzén H Extremes And Related Properties Of Random Sequences And Processes (New York: Springer-Verlag, 1983)
  58. Hsing T, Hüsler J, Leadbetter M R Probab. Theory Related Fields 78 97 (1988)
  59. Davis R A, Mikosch T Bernoulli 15 977 (2009)
  60. Ferro C A T, Segers J J.R. Statist. Soc. B 65 545 (2003)
  61. Severe Space Weather Events - Understanding Societal And Economic Impacts (Workshop Report) (Washington, D.C.: The National Academies Press, 2008); http://www.nap.edu/catalog/12507.html
  62. Mursula K, Usoskin I G, Maris G Adv. Space Res. 40 885 (2007)
  63. Dorman L I Usp. Fiz. Nauk 180 519 (2010); Dorman L I Phys. Usp. 53 496 (2010)
  64. Feldstein Y I J. Geophys. Res. 78 1210 (1973)
  65. Siscoe G L Rev. Geophys. Space Phys. 18 647 (1980)
  66. Boteler D, Marti L "Space weather situational awareness for power systems" p. 225, Abstract E2.1-4-12
  67. Feynman J, Gabriel S B J. Geophys. Res. Space Phys. 105 10543 (2000)
  68. Forbes T G Space Sci. Rev. 123 251 (2006)
  69. Amari T Astrophys. J. 742 L27 (2011)
  70. Kahler S Rev. Geophys. 25 663 (1987)
  71. Reames D V Space Sci. Rev. 90 413 (1999)
  72. Hirshberg J, Colburn D S Planet. Space Sci. 17 1183 (1969)
  73. Gopalswamy N J. Atmos. Solar-Terr. Phys. 70 2078 (2008)
  74. Gaizauskas V Astrophys. J. 265 1056 (1983)
  75. Ruzmaikin A, Feynman J Multiscale Phenomena in Space Plasmas. Proc. of the 1998 Cambridge Workshop (Physics of Space Plasmas, Eds T Chang, J Jasperse) (Cambridge, Mass.: MIT Center for Theor. Geo/Plasma Physics, 1998) p. 295
  76. Ruzmaikin A, Feynman J J. Geophys. Res. Atmos. 107 (D14) ACL7-1 (2002)
  77. Ruzmaikin A "Effects of solar variability on the Earth’s climate patterns" Adv. Space Res. 40 1146 (2007)
  78. Mark Twain Quotations, Newspaper Collections, and Related Resources (Heaven), http://www.twainquotes.com/Heaven.html

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