An Absorbing State Model with an Emergent Ising Transition
Shen Ai, Dov Levine, Paul Chaikin
Abstract
We study a dynamical model of repulsive needles with centers fixed on a square lattice. Needles that overlap are active and receive a repulsive rotation θ∈ [0,ε); needles with no overlap do not move. This model exhibits an absorbing state transition. Nematic order was observed for long needles. For a range of needle lengths and ε, the system self-organizes into a state with checkerboard symmetry. As ε is increased, this phase melts and becomes disordered. Remarkably, we find that this phase boundary exhibits critical exponents identical to those of the equilibrium 2D Ising model.
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