The toroidal response is numerically investigated in a multifold double-ring metamaterials at the antibonding magnetic-dipole mode (i.e., antiparallel magnetic dipoles in one double-ring fold). This intriguing toroidal resonance in metamaterials is considered as a result of the magnetoelectric effect due to the broken balance of the electric near-field environment. We demonstrate that the toroi...

We study soliton solutions of the Nicole model-a non-linear four-dimensional field theory consisting of the CP 1 Lagrangian density to the non-integer power 3 2-using an ansatz within toroidal coordinates, which is indicated by the conformal symmetry of the static equations of motion. We calculate the soliton energies numerically and find that they grow linearly with the topological charge (Hop...

Normal form procedure This is the stepwise ‘simplification’ by changes of coordinates, of the Taylor series at an equilibrium point, or of similar series at periodic or quasi-periodic solutions. Preservation of structure The normal form procedure is set up in such a way that all coordinate changes preserve a certain appropriate structure. This applies to the class of Hamiltonian or volume prese...

Ahstract The quantum and classical equations are found which govern the motion of toroidal moments in an external magnetic field. The concrete realization of toroidal moments of higher multipolarities is given, and it is shown how the toroidal moments interact with each other. We recover the 3-dimensional analogue of the Aharonov-Casher effect. It turns out that the toroidal moments should exhi...

We focus on molecular cavities which are represented in the form of Solvent Excluded Surfaces. They are featured by having smooth toroidal and spherical surface blendings between the constituting atoms. The only inputs are the nuclear coordinates, the van der Waals radii and the probe radius. From those information, our purpose is to generate a patch representation of the resulting Connolly sur...

The rate of step propagation for an isolated, continuous and curved step with bulk diffusion is solved within the steady-state approximation and it is noted that the Chernov model of parallel sequence of step advance is without effort adapted to the curved step. The solution of the Laplace equation in toroidal coordinates for a diffusion layer of arbitrary extension yields the diffusion flux de...

A synthetic Fast-Ion Loss Detector (FILD) and an imaging Heavy Ion Beam Probe (i-HIBP) have been implemented in the 3D hybrid kinetic-magnetohydrodynamic code MEGA. First measurements from these two diagnostics obtained for neutral beam injection (NBI) driven Alfv\'en Eigenmode (AE) simulated with The fast-ion losses show a strong correlation AE amplitude. This is observed phase-space, represen...

Abstract A typical geometry extracted from the path integral of a quantum theory gravity may be quite complicated in UV region. Even if single configuration is not physical, its properties interest to understand details nature, since some universal features can important for physics model. If formalism describing coordinate independent, which case model studied here, such understanding facilita...

In the present work, we determine the fraction of magnetic field lines that reach the tokamak wall leaving the plasma surrounded by a chaotic layer created by resonant perturbations at the plasma edge. The chaotic layer arises in a scenario where an integrable magnetic field with reversed magnetic shear is perturbed by an ergodic magnetic limiter. For each considered line, we calculate its conn...

Aims. The influence of a toroidal magnetic field on the dynamics of Rossby waves in a thin layer of ideal conductive fluid on a rotating sphere is studied in the " shallow water " magnetohydrodynamic approximation for the first time. Methods. Dispersion relations for magnetic Rossby waves are derived analytically in Cartesian and spherical coordinates. Results. It is shown that the magnetic fie...