Publications (5)
Dynamical thermalization in time-dependent Billiards
M. Hansen, D. Ciro, I. L. Caldas +1
Numerical experiments of the statistical evolution of an ensemble of non-interacting particles in a time-dependent billiard with inelastic collisions, reveals the existence of thre…
Symplectic Maps for Diverted Plasmas
I. L. Caldas, B. F. Bartoloni, D. Ciro +8
Nowadays, divertors are used in the main tokamaks to control the magnetic field and to improve the plasma confinement. In this article, we present analytical symplectic maps descri…
Efficient manifold tracing for planar maps
D. Ciro, I. L. Caldas, R. L. Viana +1
Invariant manifolds of unstable periodic orbits organize the dynamics of chaotic orbits in phase space. They provide insight into the mechanisms of transport and chaotic advection…
Modeling non-stationary, non-axisymmetric heat patterns in DIII-D tokamak
D. Ciro, T. E. Evans, I. L. Caldas
Non-axisymmetric stationary magnetic perturbations lead to the formation of homoclinic tangles near the divertor magnetic saddle in tokamak discharges. These tangles intersect the…
A semi-analytical solver for the Grad-Shafranov equation
D. Ciro, I. L. Caldas
In toroidally confined plasmas, the Grad-Shafranov equation, in general a non-linear PDE, describes the hydromagnetic equilibrium of the system. This equation becomes linear when t…