2003/12/17 by G. Ciraolo, Guido Ciraolo, Françoise Briolle +14 · 2 citations
Computer Science · Physics and Astronomy · #Magnetic confinement fusion research #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.1103/physreve.69.056213
published as Phys. Rev. E 69, 056213 (2004) · 17 pages, 21 figures
arxiv created 2003/12/17 · openalex publication_date 2004/05/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to control (reduce) the chaotic diffusion in the phase space of a Hamiltonian system with 1.5 degrees of freedom which models the diffusion of charged test particles in a turbulent electric field across the confining magnetic field in controlled thermonuclear fusion devices. Though still far from practical applications, this result suggests that some strategy to control turbulent transport in magnetized plasmas, in particular, tokamaks, is conceivable. The robustness of the control is investigated in terms of a departure from the optimum magnitude, of a varying cutoff at large wave vectors, and of random errors on the phases of the modes. In all three cases, there is a significant region of maximum efficiency in the vicinity of the optimum control term.