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.
Kawasaki, Stochastic model of slow dynamics in supercooled liquids and dense colloidal suspensions,Physica A208, 35 (1994)
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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.