Probability of Statistical [Formula presented] Transition in Tokamaks

Sanae Itoh, Kimitaka Itoh, Shinichiro Toda

Research output: Contribution to journalArticle

Abstract

A statistical model for the bifurcation of the radial electric field [Formula presented] is analyzed in view of describing [Formula presented] transitions of tokamak plasmas. Noise in microfluctuations is shown to lead to random changes of [Formula presented] if a deterministic approach allows for more than one solution. The probability density function for and the ensemble average of [Formula presented] are obtained. The [Formula presented]-to-[Formula presented] and the [Formula presented]-to-[Formula presented] transition probabilities are calculated, and the effective phase limit is derived. Because of the suppression of turbulence by shear in [Formula presented], the limit deviates from Maxwell’s rule.

Original languageEnglish
JournalPhysical Review Letters
Volume89
Issue number21
DOIs
Publication statusPublished - Jan 1 2002

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probability density functions
transition probabilities
turbulence
retarding
shear
electric fields

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Probability of Statistical [Formula presented] Transition in Tokamaks. / Itoh, Sanae; Itoh, Kimitaka; Toda, Shinichiro.

In: Physical Review Letters, Vol. 89, No. 21, 01.01.2002.

Research output: Contribution to journalArticle

Itoh, Sanae ; Itoh, Kimitaka ; Toda, Shinichiro. / Probability of Statistical [Formula presented] Transition in Tokamaks. In: Physical Review Letters. 2002 ; Vol. 89, No. 21.
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