An incompressible polar active fluid with an easy axis has an order-disorder transition whose critical behavior is exactly that of the equilibrium dipolar Ising model.
To see this, note first that the integral over the 8 inner regime q⊥ ≪ 1/ξlin ⊥ , qx ≪ 1/ξlin ∥ , ω ≪ 1/τ lin corr con- verges
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The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis
An incompressible polar active fluid with an easy axis has an order-disorder transition whose critical behavior is exactly that of the equilibrium dipolar Ising model.