RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 UFN: Year: Volume: Issue: Page: Find

 UFN, 2013, Volume 183, Number 1, Pages 103–112 (Mi ufn4089)

METHODOLOGICAL NOTES

Critical phenomena far from equilibrium

E. N. Rumanov

Institute of Structural Macrokinetics and Materials Science, Russian Academy of Sciences

Abstract: Stationary regimes of active systems—those in which dissipation is compensated by pumping—are considered. Approaching the bifurcation point of such a regime leads to an increase in susceptibility, with soft modes making the dominant contribution. Weak noise, which is inherent to any real system, increases. Sufficiently close to bifurcation, the amplitude of random pulsations is comparable to the average value of the fluctuating quantity, as in the case of developed turbulence. The spectrum of critical pulsations is independent of the original noise. Numerical simulation of the neighborhood of a bifurcation point is considered unreliable because of the poor reproducibility of results. Due to the high susceptibility, calculation roundings result in ‘chaotic’ jumps of the solution in response to a smooth change in the parameters. It is therefore necessary in the simulation process to introduce a small random function of time, white noise. The solutions of the Langevin equations obtained in this way should be processed statistically. Their properties (except for the intensity of pulsations) are independent of the noise induced. Examples of the statistical description of bifurcations are given.

DOI: https://doi.org/10.3367/UFNr.0183.201301g.0103

Full text: PDF file (846 kB)
Full text: http://www.ufn.ru/.../g
References: PDF file   HTML file

English version:
Physics–Uspekhi, 2013, 56:1, 93–102

Bibliographic databases:

PACS: 02.70.-c, 05.45.-a, 64.60.-i
Revised: December 22, 2011
Accepted: January 16, 2012

Citation: E. N. Rumanov, “Critical phenomena far from equilibrium”, UFN, 183:1 (2013), 103–112; Phys. Usp., 56:1 (2013), 93–102

Citation in format AMSBIB
\Bibitem{Rum13} \by E.~N.~Rumanov \paper Critical phenomena far from equilibrium \jour UFN \yr 2013 \vol 183 \issue 1 \pages 103--112 \mathnet{http://mi.mathnet.ru/ufn4089} \crossref{https://doi.org/10.3367/UFNr.0183.201301g.0103} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2013PhyU...56...93R} \elib{http://elibrary.ru/item.asp?id=18363198} \transl \jour Phys. Usp. \yr 2013 \vol 56 \issue 1 \pages 93--102 \crossref{https://doi.org/10.3367/UFNe.0183.201301f.0103} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000317578800005} \elib{http://elibrary.ru/item.asp?id=20437457} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876526964} 

• http://mi.mathnet.ru/eng/ufn4089
• http://mi.mathnet.ru/eng/ufn/v183/i1/p103

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. E. N. Rumanov, “On the transition from deflagration to detonation”, J. Exp. Theor. Phys, 116:6 (2013), 1057
2. Ledenyov O.P. Neklyudov I.M., “Distributing of Dustborne Particles and Adsorbed Chemical Elements in Granular Air Filter of Aes in the Conditions of the Forced Acoustic Resonance”, Probl. At. Sci. Tech., 2013, no. 2, 94–99
3. Vaganova N.I., Rumanov E.N., “Frequency Locking of Dynamic Chaos”, Dokl. Phys., 58:10 (2013), 421–423
4. Shuman V.N., “on Prognostication Ability of Active Geosystems: Metastability and Steady Transitions Instead of Attractors”, Geofiz. Zhurnal, 38:6 (2016), 3–24
5. Shuman V.N., “Fractional Dynamics and Emissive Activity of Geosystems”, Geofiz. Zhurnal, 38:3 (2016), 72–83
6. Shuman V.N., “Spontaneous Emission Activity of Lithosphere and Seismoelectromagnetic Phenomena”, Geofiz. Zhurnal, 38:2 (2016), 79–87
•  Number of views: This page: 288 Full text: 110 References: 48 First page: 1