DiffusionstensorBildgebung

Diffusionstens is a coined concept in diffusion theory, used in some pedagogical discussions to describe how diffusion behaves when the medium imposes constraining geometry, such as narrow passages or complex boundaries. The term is not part of standard scientific nomenclature and does not correspond to a widely recognized physical quantity.

In this framework, a diffusion tensor field D(x) is allowed to vary with position to reflect local anisotropy and confinement. The concentration field C(x,t) evolves according to the generalized diffusion equation ∂C/∂t = ∇·(D(x) ∇C). In narrow regions, diffusion rates become effectively reduced in certain directions, leading to anisotropic spread described by the diffusionstens tensor. The model emphasizes the interplay between geometry and diffusion, including boundary conditions at walls.

Primarily educational or theoretical, diffusionstens has limited empirical grounding and is not used as a standard model in published diffusion research. Critics note potential confusion with established concepts such as diffusion tensors in imaging, Fick's laws, and diffusion in porous media, and warn against overinterpreting a geometry-driven tensor without clear data.

Related topics include diffusion, diffusion tensor imaging, anisotropic diffusion, porous media diffusion, and stenosis.