Experimental confirmation of the scaling theory for noise-induced crisesSommerer, John C; Ditto, William L; Grebogi, Celso L; Ott, Edward L; Spano, Mark L
doi: 10.1103/PhysRevLett.66.1947pmid: 10043351
We investigate experimentally the scaling of the average time τ between intermittent, noise-induced bursts for a chaotic mechanical system near a crisis. The system studied is a periodically driven (frequency f ) magnetoelastic ribbon. Theory predicts that for deterministic crises where τ scales as τ∼‖ f - f c ‖ - γ ( f < f c , f = f c at crisis), the characteristic time between noise-induced bursts ( f ≥ f c ) should scale as τ∼ σ - γ g (‖ f - f c ‖/σ), where σ is the noise strength and γ is the same in both cases. We determine γ for the low-noise (‘‘deterministic’’) system, then add noise and observe that the scaling for τ is as predicted.
Semirigid supergravityDistler, Jacques
doi: 10.1103/PhysRevLett.66.1955pmid: 10043353
We formulate two-dimensional topological gravity starting from local N =2 superconformal geometry. The theory is free from the very beginning. The usual ‘‘twisting’’ of the N =2 algebra emerges from symmetry breaking when we expand about a nonzero value for one of the ghost fields. The mysterious linear term in the supercurrent emerges automatically, as does a full superfield formalism for the whole system including ghosts. We analyze the moduli space of the ‘‘semirigid’’ super Riemann surfaces associated with this theory, including their allowed degenerations.
Sawtooth stabilization by localized electron cyclotron heating in a tokamak plasmaHanada, K; Tanaka, H; Iida, M; Ide, S; Minami, T; Nakamura, M; Maekawa, T; Terumichi, Y; Tanaka, S
doi: 10.1103/PhysRevLett.66.1974pmid: 10043358
Sawtooth oscillations (STO) in the Ohmically heated WT-3 tokamak are strongly modified or suppressed by localized-electron cyclotron resonance heating (ECH) near the q =1 surface, where q refers to the safety factor. The efect of ECH is much stronger when it is applied on the high-field side as compared to the low-field side. Complete suppression of the STO is achieved for the duration of the ECH, in most cases, when it is applied on the high-field side of a low-density plasma, provided the ECH power exceeds a threshold value. The STO stabilization is attributed to a modification of the current-density profile by hot electrons generated by ECH, which reduces the shear in the q =1 region.