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Methodological notes


Why nature needs 1/f-noise


A.A. Galkin Donetsk Physical-Technical Institute, ul. R. Lyuksemburg 72, Donetsk, 340114, Ukraine

While ubiquitous at all levels of nature's organization, including objects of today's nanotechnology, the low-frequency 1/f-noise is not yet understood. A possible reason is the uncritical application of probability theory concepts, primarily that of independence, to physical random phenomena. It is shown that in the framework of statistical mechanics no medium can impart a certain definite diffusivity and mobility to a particle that performs a random walk through it, which gives rise to flicker fluctuations in these properties. This example realizes a 1/f-noise source universal for many-particle systems, namely, the dependence of time behavior of any particular relaxation or transport process on the details of initial microstate of the system as a whole.

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Fulltext is also available at DOI: 10.3367/UFNe.0185.201507d.0773
Keywords: 1/f-noise, molecular random walks, Brownian motion, statistical mechanics of transport processes, dynamical foundations of kinetics, deterministic chaos in many-particle systems
PACS: 05.20.Jj, 05.40.Fb (all)
DOI: 10.3367/UFNe.0185.201507d.0773
URL: https://ufn.ru/en/articles/2015/7/d/
000364717000004
2-s2.0-84944883397
2015PhyU...58..719K
Citation: Kuzovlev Yu E "Why nature needs 1/f-noise" Phys. Usp. 58 719–729 (2015)
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Received: 22nd, January 2015, revised: 24th, April 2015, 28th, April 2015

Оригинал: Кузовлев Ю Е «Почему природе нужен 1/f шум» УФН 185 773–783 (2015); DOI: 10.3367/UFNr.0185.201507d.0773

References (42) ↓ Cited by (13) Similar articles (7)

  1. Bochkov G N, Kuzovlev Yu E Usp. Fiz. Nauk 141 151 (1983); Bochkov G N, Kuzovlev Yu E Sov. Phys. Usp. 26 829 (1983)
  2. Kuzovlev Yu E, Bochkov G N "O prirode i statisticheskikh kharakteristikakh 1/f-shuma" Preprint №157 (Gor’kii: NIRFI, 1982); Kuzovlev Yu E, Bochkov G N arXiv:1211.4167
  3. Kuzovlev Yu E, Bochkov G N Izv. Vuzov. Radiofizika 26 310 (1983); Kuzovlev Yu E, Bochkov G N Radiophys. Quantum Electron. 26 228 (1983)
  4. Bochkov G N, Kuzovlev Yu E Izv. Vuzov. Radiofizika 27 1151 (1984); Bochkov G N, Kuzovlev Yu E Radiophys. Quantum Electron. 27 811 (1984)
  5. Zhigal’skii G P Usp. Fiz. Nauk 173 465 (2003); Zhigal’skii G P Phys. Usp. 46 449 (2003)
  6. Balandin A A Nature Nanotechnol. 8 549 (2013); Balandin A A arXiv:1307.4797
  7. Kuzovlev Yu E Zh. Eksp. Teor. Fiz. 94 (12) 140 (1988); Kuzovlev Yu E Sov. Phys. JETP 67 2469 (1988)
  8. Newton I Philosophiae Naturalis Principia Mathematica (Londini: Jussu Societatis Regiae, 1684); Newton I The Principia Mathematical Principles Of Natural Philosophy (Berkeley, Calif.: Univ. of California Press, 1999); N’yuton I Matematicheskie Nachala Natural’noi Filosofii (Per. s lat. A N Krylova) (M.: Nauka, 1989)
  9. Weissman M B Rev. Mod. Phys. 60 537 (1988)
  10. Kuzovlev Yu E cond-mat/9903350
  11. Kuzovlev Yu E Zh. Eksp. Teor. Fiz. 111 2086 (1997); Kuzovlev Yu E JETP 84 1138 (1997)
  12. Bochkov G N, Kuzovlev Yu E Usp. Fiz. Nauk 183 617 (2013); Bochkov G N, Kuzovlev Yu E Phys. Usp. 56 590 (2013)
  13. Kuzovlev Yu E, Medvedev Yu V, Grishin A M Pis’ma ZhETF 72 832 (2000); Kuzovlev Yu E, Medvedev Yu V, Grishin A M JETP Lett. 72 574 (2000)
  14. Kuzovlev Yu E, Medvedev Yu V, Grishin A M Fiz. Tverd. Tela 44 811 (2002); Kuzovlev Yu E, Medvedev Yu V, Grishin A M Phys. Solid State 44 843 (2002)
  15. Kuzovlev Yu E arXiv:1302.0373
  16. Kuzovlev Yu E cond-mat/0609515
  17. Kuzovlev Yu E arXiv:0802.0288; Kuzovlev Yu E arXiv:0803.0301
  18. Kuzovlev Yu E Teor. Mat. Fiz. 160 517 (2009); Kuzovlev Yu E Theor. Math. Phys. 160 1301 (2009)
  19. Kuzovlev Yu E arXiv:1007.1992
  20. Kuzovlev Yu E arXiv:1008.4376
  21. Kuzovlev Yu E arXiv:1207.0058
  22. Kuzovlev Yu E arXiv:1209.5425
  23. Kuzovlev Yu E arXiv:1311.3152
  24. Brown R Edinburgh New Phil. J. 5 358 (1828)
  25. Brongniart A Ann. Sci. Naturelles 12 41 (1827)
  26. Einstein A Ann. Physik 17 549 (1905); Einshtein A Sobranie Nauchnykh Trudov Vol. 3 (M.: Nauka, 1966) p. 108
  27. Einstein A Ann. Physik 19 289 (1906); Einshtein A Sobranie Nauchnykh Trudov Vol. 3 (M.: Nauka, 1966) p. 75
  28. Einstein A Ann. Physik 19 371 (1906); Einshtein A Sobranie Nauchnykh Trudov Vol. 3 (M.: Nauka, 1966) p. 118
  29. Lifshits E M, Pitaevskii L P Fizicheskaya Kinetika (M.: Nauka, 1979); Lifshitz E M, Pitaevskii L P Physical Kinetics (Oxford: Pergamon Press, 1981)
  30. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Fizmatlit, 2004); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  31. Kolmogorov A N Osnovnye Ponyatiya Teorii Veroyatnostei (M.: Nauka, 1974); Kolmogorov A N Foundations Of The Theory Of Probability (New York: Chelsea, 1956)
  32. Feller W An Introduction To Probability Theory And Its Applications (New York: Wiley, 1968); Feller V Vvedenie v Teoriyu Veroyatnostei i Ee Prilozheniya Vol. 2 (M.: Mir, 1984)
  33. Arnol’d V I Matematicheskie Metody Klassicheskoi Mekhaniki (M.: Nauka, 1989); Arnold V I Mathematical Methods Of Classical Mechanics (New York: Springer, 1997)
  34. Bochkov G N, Kuzovlev Yu E "K teorii 1/f-shuma" Preprint №195 (Gor’kii: NIRFI, 1985)
  35. Kuzovlev Yu E arXiv:1411.3261
  36. Bernoulli J Ars Conjectandi (Basel: Thurneysen Brothers, 1713); Bernulli Ya O Zakone Bol’shikh Chisel (M.: Nauka, 1986)
  37. Krylov N S Raboty Po Obosnovaniyu Statisticheskoi Fiziki (M. - L.: Izd-vo AN SSSR, 1950); Krylov N S Works On The Foundations Of Statistical Physics (Princeton, N.J.: Princeton Univ. Press, 1979)
  38. Loskutov A Yu Usp. Fiz. Nauk 180 1305 (2010); Loskutov A Phys. Usp. 53 1257 (2010); Loskutov A Yu Usp. Fiz. Nauk 177 989 (2007); Loskutov A Yu Phys. Usp. 50 939 (2007)
  39. Gal’perin G A, Zemlyakov A N Matematicheskie Bil’yardy (M.: Nauka, 1990); Chernov N, Galperin G, Zemlyakov A The Mathematics Of Billiards (Cambridge: Cambridge Univ. Press, 2003)
  40. Arnold V I, Avez A Problèmes Ergodiques De La Mécanique Classique (Paris: Gauthier-Villars, 1967); Arnold V I, Avez A Ergodic Problems Of Classical Mechanics (New York: Benjamin, 1968); Arnol’d V I, Avets A Ergodicheskie Problemy Klassicheskoi Mekhaniki (Izhevsk: RKhD, 1999)
  41. Strugatskii A, Strugatskii B Za Milliard Let do Kontsa Sveta (M.: Stalker, 2005); Strugatsky A, Strugatsky B Definitely Maybe: A Manuscript Discovered Under Strange Circumstances (Brooklyn: Melville House Publ., 2014)
  42. Shnol’ S E i dr. Usp. Fiz. Nauk 168 1129 (1998); Shnoll S E et al. Phys. Usp. 41 1025 (1998)
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