Scaling behaviour of non-equilibrium planar $N$-atic spin systems under weak fluctuations

Abstract

Starting from symmetry considerations, we derive the generic hydrodynamic equation of non-equilibrium $XY$ spin systems with $N$-atic symmetry under weak fluctuations. Through a systematic treatment we demonstrate that, in two dimensions, these systems exhibit two types of scaling behaviours. For $N=1$, they have long-range order and are described by the flocking phase of dry polar active fluids. For all other values of $N$, the systems exhibit quasi long-range order, as in the equilibrium $XY$ model at low temperature.

5 pages, 1 figure

References in corpus (5)

• Novel type of phase transition in a system of self-driven particles
• Novel physics arising from phase transitions in biology
• Incompressible polar active fluids in the moving phase
• Forming a cube from a sphere with tetratic order
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