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Updated: Apr 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Classical XY model with conserved angular momentum is an archetypal non-Newtonian fluid
R M L Evans1, Craig A Hall1, R Aditi Simha2
1School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom.
Abstract:
We find that the classical one-dimensional XY model, with angular-momentum-conserving Langevin dynamics, mimics the non-Newtonian flow regimes characteristic of soft matter when subjected to counterrotating boundaries. An elaborate steady-state phase diagram has continuous and first-order transitions between states of uniform flow, shear-banding, solid-fluid coexistence and slip planes. Results of numerical studies and a concise mean-field constitutive relation offer a paradigm for diverse nonequilibrium complex fluids.
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