Non-reciprocal interactions spatially propagate fluctuations in a 2D Ising model

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...

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Bibliographic Details
Published in:Journal of statistical mechanics 2023-04, Vol.2023 (4), p.43209
Main Authors: Seara, Daniel S, Piya, Akash, Tabatabai, A Pasha
Format: Article
Language:English
Subjects:
active matter
flocking
Ising model
non-reciprocal
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Summary: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.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/accce7