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.
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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.