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

Non-reciprocal interactions spatially propagate fluctuations in a 2D Ising model
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非互易相互作用在二维伊辛模型中空间传播波动

DOI:
10.1088/1742-5468/accce7
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发表时间:
2023
期刊:
Journal of Statistical Mechanics: Theory and Experiment
影响因子:
--
通讯作者:
Tabatabai, A Pasha
Tabatabai, A Pasha
中科院分区:
--
文献类型:
--
作者:
Seara, Daniel S;Piya, Akash;Tabatabai, A Pasha

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受鱼类之间各向异性相互作用的激励,我们在二维Ising模型中实现了空间各向异性和非互反相互作用。首先,我们证明了具有非互反相互作用的模型改变了系统临界温度,而不是传统的二维Ising模型。此外,在这个非平衡系统中,磁化的局部扰动表现为沿晶格的自旋态行波,这在我们系统的平均场模型中也可以看到。这些行波的速度和方向可由非互易相互作用核的方向和大小以及系统与临界温度的接近程度来控制。
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.
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