The integral of the kinetic electrostatic surface wave dispersion relation is asymptotically evaluated to determine the frequencies of the normal modes and the corresponding Landau damping for the high frequency surface electron plasma wave and the low frequency surface ion acoustic wave. The asymptotically calculated Landau damping rates apply to the limiting cases of kx e <<1 and kx e >>1 whe...

The Landau collision integral is an accurate model for the small-angle dominated Coulomb collisions in fusion plasmas. We investigate a high order accurate, fully conservative, finite element discretization of the nonlinear multi-species Landau integral with adaptive mesh refinement using the PETSc library (www.mcs.anl.gov/petsc). We develop algorithms and techniques to efficiently utilize emer...

We study a mixed heat and Schrödinger Ginzburg-Landau evolution equation on a bounded two-dimensional domain with an electric current applied on the boundary and a pinning potential term. This is meant to model a superconductor subjected to an applied electric current and electromagnetic field and containing impurities. Such a current is expected to set the vortices in motion, while the pinning...

We discuss some general properties of the Landau kinetic equation. In particular, the difference between the ”true” Landau equation, which formally follows from classical mechanics, and the ”generalized” Landau equation, which is just an interesting mathematical object, is stressed. We show how to approximate solutions to the Landau equation by the Wild sums. It is the so-called quasi-Maxwellia...

The Landau–Lifshitz–Baryakhtar (LLBar) equation is a generalisation of the Landau–Lifshitz–Gilbert and Landau–Lifshitz–Bloch equations which takes into account contributions from nonlocal damping valid at moderate temperature below Curie temperature. Therefore, it used to explain some discrepancies between experimental observations known theories in various problems on magnonics magnetic domain...

We study the quantum mechanical problem of a charged particle moving in a constant magnetic field and an azimuthilly symmetric external potential. We show that the lowest Landau level splits in a definite way if the external potential is a monotone function of the radial distance in the plane orthogonal to the magnetic field. For two-dimensional systems we give sufficient conditions such that a...

The new 3 generation synchrotron light sources coming up are designed for a small transverse emittance. But the small beam size gives a low Touschek lifetime and calls for good beam stability. In some storage rings higher harmonic cavities are installed for bunch lengthening to overcome the lifetime limitations. The higher harmonic cavities also induce Landau damping that improves the beam stab...

We demonstrate quantum control and entanglement generation using a Landau-Zener beam splitter formed by coupling two transmon qubits to a superconducting cavity. Single passage through the cavity-mediated qubit-qubit avoided crossing provides a direct test of the Landau-Zener transition formula. Consecutive sweeps result in Landau-Zener-Stückelberg interference patterns, with a visibility that ...

We investigate electronic transport in dual-gated twisted-bilayer graphene. Despite the subnanometer proximity between the layers, we identify independent contributions to the magnetoresistance from the graphene Landau level spectrum of each layer. We demonstrate that the filling factor of each layer can be independently controlled via the dual gates, which we use to induce Landau level crossin...

The experimentally observed temperature dependence of the quartic coefficients in the Landau-Devonshire expansion for BaTiO3 is naturally accounted for within a proper fluctuation model. It is explained, in particular, why one of the quartic coefficients varies with temperature above Tc while the second is constant. The tetragonal phase in BaTiO3 is argued to exist essentially due to the therma...