Universality in Anisotropic Linear Anelasticity

Anisotropic diffusion limited aggregation in three dimensions: universality and nonuniversality.

We explore the macroscopic consequences of lattice anisotropy for diffusion limited aggregation (DLA) in three dimensions. Simple cubic and bcc lattice growths are shown to approach universal asymptotic states in a coherent fashion, and the approach is accelerated by the use of noise reduction. These states are strikingly anisotropic dendrites with a rich hierarchy of structure. For growth on a...

Anomalous universality in the Anisotropic Ashkin–Teller model

The Ashkin–Teller (AT) model is a generalization of Ising 2–d to a four states spin model; it can be written in the form of two Ising layers (in general with different couplings) interacting via a four–spin interaction. It was conjectured long ago (by Kadanoff and Wegner, Wu and Lin, Baxter and others) that AT has in general two critical points, and that universality holds, in the sense that th...

Linear Anisotropic Mesh Filtering

No algorithm for unconstrained polygon mesh denoising can beat Laplacian smoothing in simplicity and ease of implementation. In this paper we introduce a new algorithm for polygon meshes smoothing with vertex position and face normal interpolatory constraints composed of two phases. First the face normals are filtered independently of vertex positions. Then the vertex positions are filtered int...

Viscosity and Anelasticity of Melts

is the Maxwell relaxation time [24]. This relaxation time is a convenient approximation to the timescale of deformation where the transition from purely viscous behavior to purely elastic behavior occurs. The purely viscous response of a silicate melt is termed “liquid” behavior whereas the purely elastic response is termed “glassy” behavior. The term silicate melt is used to describe molten si...

The Anelasticity of the Earth.