Predicting PDF tails in systems with logarithmic non-linearity

Johan Anderson; Eun jin Kim

doi:10.1016/j.physleta.2010.02.017

Predicting PDF tails in systems with logarithmic non-linearity

Johan Anderson
, Eun jin Kim

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The probability density function (PDF) of flux R is computed in systems with logarithmic non-linearity using a model non-linear dynamical equation. The PDF tails of the first moment flux are analytically predicted to be power law. These PDF tails are shown to be broader than a Gaussian distribution and are a manifestation of intermittency caused by short lived coherent structures (instantons).

Original language	English
Pages (from-to)	1621-1624
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	15-16
Early online date	10 Feb 2010
DOIs	https://doi.org/10.1016/j.physleta.2010.02.017
Publication status	Published - 5 Apr 2010
Externally published	Yes

Funding

This research was supported by the Engineering and Physical Sciences Research Council (EPSRC) EP/D064317/1 .

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2010.02.017

Cite this

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title = "Predicting PDF tails in systems with logarithmic non-linearity",

abstract = "The probability density function (PDF) of flux R is computed in systems with logarithmic non-linearity using a model non-linear dynamical equation. The PDF tails of the first moment flux are analytically predicted to be power law. These PDF tails are shown to be broader than a Gaussian distribution and are a manifestation of intermittency caused by short lived coherent structures (instantons).",

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AU - Kim, Eun jin

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AB - The probability density function (PDF) of flux R is computed in systems with logarithmic non-linearity using a model non-linear dynamical equation. The PDF tails of the first moment flux are analytically predicted to be power law. These PDF tails are shown to be broader than a Gaussian distribution and are a manifestation of intermittency caused by short lived coherent structures (instantons).

UR - https://www.scopus.com/pages/publications/77949282291

U2 - 10.1016/j.physleta.2010.02.017

DO - 10.1016/j.physleta.2010.02.017

M3 - Article

AN - SCOPUS:77949282291

SN - 0375-9601

VL - 374

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EP - 1624

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 15-16

ER -

Predicting PDF tails in systems with logarithmic non-linearity

Abstract

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