Duality and spatial inhomogeneity

Spatial inhomogeneity and thermodynamic chaos.

We present a coherent approach to the competition between thermodynamic states in spatially inhomogeneous systems, such as the Edwards-Anderson spin glass with a fixed coupling realization. This approach explains and relates chaotic size dependence, “dispersal of the metastate”, and for replicas: non-independence, symmetry breaking, and overlap (non-)self-averaging. The connection between the e...

Spatial Inhomogeneity and Regularization in Eit

| The reconstruction of impedance distribution in electrical impedance tomography (EIT) is a nonlinear ill-posed inverse problem. In order to obtain stable solution the problem has to be regularized. One of the most common methods for this is the generalized Tikhonov reg-ularization. The regularization matrices that are usually used with the Tikhonov method are more or less ad hoc and the assoc...

Inhomogeneity Image Segmentation with Optimal Spatial Scale

A novel local region-based active contour model is proposed to segment medical images with intensity inhomogeneities and various noises. The contribution of the proposed work is twofold. First, the anisotropy of evolution contours is exploited to characterize the local classification information around each pixel. Integrating it with local gray intensity information, the new model stabilizes th...

Spatial inhomogeneity of imprint and switching behavior in ferroelectric capacitors

Energy-resolved spatial inhomogeneity of disordered Mott systems

We investigate the effects of weak to moderate disorder on the T 1⁄4 0 Mott metal–insulator transition in two dimensions. Our model calculations demonstrate that the electronic states close to the Fermi energy become more spatially homogeneous in the critical region. Remarkably, the higher energy states show the opposite behavior: they display enhanced spatial inhomogeneity precisely in the clo...