### 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 language | English |
---|---|

Journal | Physical Review Letters |

Volume | 89 |

Issue number | 21 |

DOIs | |

Publication status | Published - Jan 1 2002 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*89*(21). https://doi.org/10.1103/PhysRevLett.89.215001

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

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 89, no. 21. https://doi.org/10.1103/PhysRevLett.89.215001

}

TY - JOUR

T1 - Probability of Statistical [Formula presented] Transition in Tokamaks

AU - Itoh, Sanae

AU - Itoh, Kimitaka

AU - Toda, Shinichiro

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85038315413&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85038315413&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.89.215001

DO - 10.1103/PhysRevLett.89.215001

M3 - Article

AN - SCOPUS:85038315413

VL - 89

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 21

ER -