title: Classical XY model with conserved angular momentum is an archetypal non-Newtonian fluid.
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.
authors.affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom.
authors.forename: R M L
authors.initials: RM
authors.lastname: Evans
authors.affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom.
authors.forename: Craig A
authors.initials: CA
authors.lastname: Hall
authors.affiliation: Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, India.
authors.forename: R Aditi
authors.initials: RA
authors.lastname: Simha
authors.affiliation: School of Physics and Astronomy, University of Leeds, Leeds, LS2 9JT, United Kingdom.
authors.forename: Tom S
authors.initials: TS
authors.lastname: Welsh