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Chen, Sheng; Seara, Daniel S; Michaud, Ani; Kim, Songeun; Bement, William M; Murrell, Michael P (, Nature Physics)
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Seara, Daniel S; Piya, Akash; Tabatabai, A Pasha (, Journal of Statistical Mechanics: Theory and Experiment)Abstract Motivated by the anisotropic interactions between fish, we implement spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the model with non-reciprocal interactions alters the system critical temperature away from that of the traditional 2D Ising model. Further, local perturbations to the magnetization in this out-of-equilibrium system manifest themselves as traveling waves of spin states along the lattice, also seen in a mean-field model of our system. The speed and directionality of these traveling waves are controllable by the orientation and magnitude of the non-reciprocal interaction kernel as well as the proximity of the system to the critical temperature.more » « less
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