10 citations · 16 across the 6 of their papers we have counts for
6 papers
Detecting Shearless Phase-Space Transport Barriers in Global Gyrokinetic Turbulence Simulations with Test Particle Map Models
Norman M. Cao, Hongxuan Zhu, Gabriel C. Grime +1
In magnetically confined fusion plasmas, the role played by zonal EB flow shear layers in the suppression of turbulent transport is relatively well-understood. However, les…
Construction of symplectic systems from parameter-drift Hamiltonian maps
Gabriel C. Grime, Philip J. Morrison
We reveal the symplectic nature of parameter-drift maps by embedding them into extended phase space. Applying the embedding to the parameter-drift standard nontwist map, our constr…
Effective transport barriers in the biquadratic nontwist map
Gabriel C. Grime, Ricardo L. Viana, Yves Elskens Iberê L. Caldas
Nontwist area-preserving maps violate the twist condition at specific orbits, resulting in shearless invariant curves that prevent chaotic transport. Plasmas and fluids with nonmon…
Shearless curve breakup in the biquadratic nontwist map
Gabriel C. Grime, Marisa Roberto, Ricardo L. Viana +2
Nontwist area-preserving maps violate the twist condition along shearless invariant curves, which act as transport barriers in phase space. Recently, some plasma models have presen…
Bidimensional Symplectic Maps
Felipe G. Souza, Gabriel C. Grime, Iberê L. Caldas
Symplectic maps can provide a straightforward and accurate way to visualize and quantify the dynamics of conservative systems with two degrees of freedom. These maps can be easily…
Shearless bifurcations in particle transport for reversed shear tokamaks
G. C. Grime, M. Roberto, R. L. Viana +2
Some internal transport barriers in tokamaks have been related to the vicinity of extrema of the plasma equilibrium profiles. This effect is numerically investigated by considering…