Diffusion in the presence of a chiral topological defect

A. Manapany, L. Moueddene, B. Berche and S. Fumeron ()
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A. Manapany: Université de Lorraine
L. Moueddene: Université de Lorraine
B. Berche: Université de Lorraine
S. Fumeron: Université de Lorraine

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 7, 1-10

Abstract: Abstract We study the diffusion processes of a real scalar field in the presence of the distortion 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 with the diffusion flow and we discuss its main properties. Graphic abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00384-z

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