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.
Dropping these terms and setting t = 0 leaves us with C(r, 0) = Z ddq dω (2π)d+1 2Dxq4 ⊥ eiq·r ω2q4 ⊥ + µ⊥ q4 ⊥ + wq2x 2
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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.