Diffusion in the presence of a chiral topological defect
High Energy Physics - Theory
2022-08-24 v1 Mesoscale and Nanoscale Physics
General Relativity and Quantum Cosmology
Abstract
We study the diffusion processes of a real scalar field in the presence of the distorsion field induced by a chiral topological defect. The defect modifies the usual Euclidean background geometry into a non-diagonal Riemann-Cartan geometry characterized by a singular torsion field. The new form of the diffusion equation is established and the scalar field distribution in the vicinity of the defect is investigated numerically. Results show a high sensitivity to the boundary conditions. In the transient regime, we find that the defect vorticity generates an angular momentum associated to the diffusion flow and we discuss its main properties.
Keywords
Cite
@article{arxiv.2207.12951,
title = {Diffusion in the presence of a chiral topological defect},
author = {Andy Manapany and Leila Moueddene and Bertrand Berche and Sébastien Fumeron},
journal= {arXiv preprint arXiv:2207.12951},
year = {2022}
}