Frustrated Brownian particles on 2D manifolds form a precessing ring whose orientation dynamics are governed by the RP^2 nonlinear sigma model, with the rotational diffusion coefficient and ring profile fixed by simulations to reproduce multiple diagnostics without further parameters.
Itˆ o, The Brownian motion and tensor fields on Riemannian manifold, inProceedings of the International Congress of Mathematicians, Stockholm, 1962, pp
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Frustrated Fields: Statistical Field Theory for Frustrated Brownian Particles on 2D Manifolds
Frustrated Brownian particles on 2D manifolds form a precessing ring whose orientation dynamics are governed by the RP^2 nonlinear sigma model, with the rotational diffusion coefficient and ring profile fixed by simulations to reproduce multiple diagnostics without further parameters.