Spatial inhomogeneity, interfaces and complex vitrification kinetics in a network forming nanocomposite

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...

Structural inhomogeneity of water by complex network analysis.

There is still an open debate regarding the structure forming capabilities of water at ambient conditions. To probe the presence of such inhomogeneities, we apply complex network analysis methods to a molecular dynamics simulation at room temperature. This study provides both a structural and quantitative characterization of kinetically homogeneous substates present in bulk water. We find that ...

Interfaces with a single growth inhomogeneity and anchored boundaries.

The dynamics of a one-dimensional growth model involving attachment and detachment of particles is studied in the presence of a localized growth inhomogeneity along with anchored boundary conditions. At large times, the latter enforce an equilibrium stationary regime which allows for an exact calculation of roughening exponents. The stochastic evolution is related to a spin Hamiltonian whose sp...

Spatial inhomogeneity of imprint and switching behavior in ferroelectric capacitors