Stochastic cloaking: concealing a region from diffusive particles
arXiv:2410.04124 · doi:10.1103/mwxh-g9d5
Abstract
We introduce "stochastic cloaking," where a region of space is concealed from an ensemble of diffusing particles whose individual trajectories are governed by a stochastic (Langevin) equation. Our simulations reveal how different interpretations of the Langevin equation affect the cloaking performance of an annular single-layer invisibility cloak of smoothly varying diffusivity in two dimensions. Near-perfect cloaking is achieved under the Ito convention, indicated by the cloak preventing particles from accessing an inner core without disturbing the particle density outside the cloak. The cloak's performance can be further improved by regularising its singular behaviour. We believe our demonstration of stochastic cloaking is a significant milestone, comparable to earlier developments that extended cloaking from optics and acoustics to thermodynamics.
13 pages (6 pages main), 4 figures (2 figures main)
References in corpus (7)
- Experiments on transformation thermodynamics: Molding the flow of heat
- State-dependent diffusion: thermodynamic consistency and its path integral formulation
- A near-perfect invisibility cloak constructed with homogeneous materials
- Spherical cloaking using nonlinear transformations for improved segmentation into concentric isotropic coatings
- Beyond Itô versus Stratonovich
- Cloaking and anamorphism for light and mass diffusion
- Itô vs Stratonovich in the presence of absorbing states