1. Vortex Statics

Statics and Fast Dynamics of Nanomagnets with Vortex Structure

Within the framework of the Landau-Lifshitz-Gilbert equation, using permalloy parameters, we study the statics and dynamics of flat circular magnetic nano-structures with an in-plane magnetic vortex configuration, putting particular emphasis on the vorticity of the magnetic state and on the (perpendicular) polarisation of the vortex center, which may be shifted with respect to the center of the...

Monotone Comparative Statics 1 1 Overview

Given an optimization problem indexed by some parameter θ, comparative statics seeks a qualitative understanding of how the solution changes with θ. If, for example, wages decrease, does a firm hire more labor? One way to obtain results of this type is to assume (or use the Implicit Function theorem to establish the existence of) a differentiable solution function, and then, having substituted ...

Algebraic graph statics

This paper presents a general, non-procedural, algebraic approach to graphical analysis of structures. Using graph theoretical properties of reciprocal graphs, the geometrical relation between the form and force diagrams used in graphic statics is written algebraically. These formulations have been found to be equivalent to the equilibrium equations used in matrix analysis of planar, self-stres...

Closure Phase Statics Correction

The closure phase principle was used in estimating static shifts in seismic data. In areas with complex topography, the static shifts usually caused by lateral variations in sediment thickness and/or velocity of the near-surface layers will distort the continuity of seismic events. More seriously, it introduces false structural anomalies. In this report, we develop a new statics correction meth...

Robust Comparative Statics