Analysis of noise-induced eruptions in a geyser model / Alexandrov D.V., Bashkirtseva I.A., Ryashko L.B. // European Physical Journal B. - 2016. - V. 89, l. 3.

ISSN:

14346028

Type:

Article

Abstract:

Motivated by important geophysical applications we study a non-linear model of geyser dynamics under the influence of external stochastic forcing. It is shown that the deterministic dynamics is substantially dependent on system parameters leading to the following evolutionary scenaria: (i) oscillations near a stable equilibrium and a transient tendency of the phase trajectories to a spiral sink or a stable node (pre-eruption regime), and (ii) fast escape from equilibrium (eruption regime). Even a small noise changes the system dynamics drastically. Namely, a low-intensity noise generates the small amplitude stochastic oscillations in the regions adjoining to the stable equilibrium point. A small buildup of noise intensity throws the system over its separatrix and leads to eruption. The role of the friction coefficient and relative pressure in the deterministic and stochastic dynamics is studied by direct numerical simulations and stochastic sensitivity functions technique. © EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2016.

Author keywords:

Index keywords:

Friction; Geysers; Stochastic models; Friction coefficients; Geophysical applications; Noise intensities; Stable equilibrium points; Stochastic dynamics; Stochastic forcing; Stochastic oscillations; S

DOI:

10.1140/epjb/e2016-60982-0

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85007193480&doi=10.1140%2fepjb%2fe2016-60982-0&partnerID=40&md5=805326e30cb5e6d0017a4d3bd4bab999

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Другие поля

Поле	Значение
Art. No.	62
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85007193480&doi=10.1140%2fepjb%2fe2016-60982-0&partnerID=40&md5=805326e30cb5e6d0017a4d3bd4bab999
Affiliations	Department of Mathematical Physics, Ural Federal University, Lenina ave., 51, Ekaterinburg, Russian Federation
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Publisher	Springer Heidelberg
Language of Original Document	English
Abbreviated Source Title	Eur. Phys. J. B
Source	Scopus