Diffusion in the presence of a chiral topological defect

We study the diffusion processes of a real scalar field in presence distortion induced by chiral topological defect. The defect modifies usual Euclidean background geometry into non-diagonal Riemann–Cartan characterized singular torsion field. new form equation is established and distribution vicinity investigated numerically. Results show high sensitivity to boundary conditions. In transient regime, we find that vorticity generates an angular momentum associated with flow discuss its main properties.