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Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on “21st century: what is life from the perspective of physics?” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)


A M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation

This letter is aimed to briefly highlight the fact that, along with many probabilistic models (including the random graphs and chains currently in wide use), there is a direct universal approach to describing the formation of stochastic structures with probability unity in random media (in ’chaos’), i.e., in almost all random field realizations. The mathematical level adopted is accessible to early undergraduate students. It can thus be concluded that clustering in chaos is not only a physical phenomenon but also a universal phenomenon inherent in nature—with some provisos, of course.

Fulltext is available at IOP
PACS: 05.45.−a, 05.65.+b, 87.23.Kg (all)
DOI: 10.3367/UFNe.0182.201211k.1235
URL: https://ufn.ru/en/articles/2012/11/j/
Citation: Klyatskin V I "Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on "21st century: what is life from the perspective of physics?" (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)" Phys. Usp. 55 1152–1154 (2012)
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Received: 10th, June 2011, 9th, April 2012

Оригинал: Кляцкин В И «В стохастических динамических системах могут образовываться пространственные структуры, благодаря событиям, происходящим с вероятностью, стремящейся к нулю (Комментарий к статье Г.Р. Иваницкого ’XXI век: что такое жизнь с точки зрения физики" [УФН 180 337 2010])» УФН 182 1235–1237 (2012); DOI: 10.3367/UFNr.0182.201211k.1235

References (4) Cited by (8) Similar articles (9) ↓

  1. G.R. Ivanitskii “Memory about the past is beneficial for survival and reproduction (reply to comment (Usp. Fiz. Nauk 182 1235 (2012) [Phys. Usp. 55 1152 (2012)]) by V I Klyatskin on “21st century: what is life from the perspective of physics” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)55 1155–1160 (2012)
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  3. V.F. Zhuravlev “Once more on the dynamics of the rattleback (comment on "Strange attractors in rattleback dynamics" by A.V. Borisov and I.S. Mamaev [Usp. Fiz. Nauk 173 407 (2003); Phys. Usp. 46 393 (2003)] and "Nonlinear dynamics of the rattleback: a nonholonomic model" by A.V. Borisov, A.O. Kazakov, S.P. Kuznetsov [Usp. Fiz. Nauk 184 493 (2014); Phys. Usp. 57 453 (2014)])58 1218–1219 (2015)
  4. S.N. Vladimirov “Does the sign correlation of quasiperiodic oscillations with incommensurable frequencies generate deterministic chaos?47 205–208 (2004)
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  6. S.P. Kuznetsov “On the validity of nonholonomic model of the rattleback58 1223–1224 (2015)
  7. A.V. Melkikh “First principles of probability theory and some paradoxes in modern biology (comment on “21st century: what is life from the perspective of physics?” by G R Ivanitskii)54 429–430 (2011)
  8. G.D. Shabanov “On relation between theoretical and experimental components in the papers on ball lightning (reply to M.L. Shmatov's comments [Usp. Fiz. Nauk 190 107 (2020)] on the paper "On the possibility of making natural ball lightning using a new pulse discharge type in the laboratory" [Phys. Usp. 62 92 (2019); Usp. Fiz. Nauk 189 95 (2019)])63 99–100 (2020)
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