标题： 单组分伊辛模型中非互惠耦合的相变 显示英文标题

标题： Phase Transitions in single species Ising Models with Non-Reciprocal couplings

摘要： 我们提出了一种通用框架，将非互惠相互作用引入具有Glauber动力学的Ising模型，而无需多个物种。 我们随后专注于一种具有视野锥类型相互作用的模型。 我们在一个全连接网络（平均场）中求解它，并对正方形晶格中的模型进行了广泛的数值模拟。 我们发现，由非互惠性引入的自旋翻转对称性的破坏在通常的连续相变之上诱导了一个不连续的相变，最终发生在更高的临界温度下。 结合静态和动态标度分析，我们测定了与连续对称性破缺转变相关的临界指数，并发现它们与二维（2D）Ising模型的临界指数相同，除了与序参量相关的指数$\beta$。 后者似乎随着耦合的非互惠性增加而增加，这表明在我们的数值精度范围内，该模型不属于二维Ising模型的普适类。 粗化过程是各向异性的，但仍遵循通常的动态标度，其指数与无守恒序参量动力学的标准值相容。 显示英文摘要

摘要： We present a general framework for incorporating non-reciprocal interactions into the Ising model with Glauber dynamics, without requiring multiple species. We then focus on a model with vision-cone type interactions. We solve it in a fully connected network (mean-field) and perform extensive numerical simulations of the model in the square lattice. We find that the breakdown of the spin-flip symmetry introduced by non-reciprocity induces a discontinuous phase transition on top of the usual continuous one, that eventually occurs at higher critical temperatures. Combining a static and dynamic scaling analysis, we measure the critical exponents associated to the continuous symmetry breaking transition, and find them to be identical to the ones of the Ising model in two dimensions (2D), with the exception of the exponent $\beta$ associated to the order parameter. The latter appears to increase as the non-reciprocity of the coupling increases, suggesting that, within our numerical precision, the model does not belong to the 2D Ising model universality class. The coarsening process is anisotropic, but still follows the usual dynamic scaling with an exponent compatible with the standard value with non-conserved order parameter dynamics.