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We study the patterning and fluctuations of a collection of activecontractile polar filaments on a two dimensional substrate, using a continuumdescription in the presence of athermal noise, parameterised by an activetemperature $T_A$. The steady states generically consist of arrays of inwardpointing asters and show a continuous transition from a moving aster street toa stationary aster lattice. In contrast to its equilibrium counterpart, thisactive crystal shows true long range order at low $T_A$. On increasing $T_A$,the asters remodel with a distribution of lifetimes; concomitantly we findnovel phase transitions characterised by polar and bond-orientational order.

Nonequilibrium phase transitions in active contractile polar filaments