-
Author(s):
S.-I. Itoh, K. Itoh and S. Toda
-
Title:
Probability of Statistical L-H Transition in Tokamaks
Date of publication:
Aug. 2002
-
Key words:
L-H transition, statistical theory, probabilistic transition, transition probability, radial electric field, probability density function, random noise, hysteresis
-
Abstract:
A statistical model of bifurcation of radial electric field E_r is analyzed in relation with L-H transitions of tokamaks. A noise from micro fluctuations leads to random noise for E_r. The transition of E_r occurs in a probabilistic manner. Probability density function and ensemble average of E_r are obtained, when hysteresis of E_r exists. Forward- and backward-transition probabilities are calculated. The phase boundary is shown. Due to the suppression of turbulence by E_r shear, the boundary deviates from the Maxwell's construction rule.
-
|
