发表机构
Saarland University; Saha Institute of Nuclear Physics（萨尔兰州立大学; 萨哈核物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对非对称耦合的双物种模型，识别出异常多临界点，明确了两物种不同的上临界维度，揭示了突变体B的动力学属于DP普适类的特性。
AI 中文摘要
我们研究了双物种模型中的相以及活性到吸收态的相变（AAPT），该模型中物种A与其突变体B呈非对称或非互惠耦合。我们识别出一个多临界点，它连接了两种物种及其突变体的全局吸收态与均匀活性态。我们在最低阶微扰理论框架下研究了该多临界点的临界动力学。物种A与其突变体B之间的非对称耦合导致A和B的动力学分别具有不等且不同的上临界维度$d_c^A$和$d_c^B$。我们表明，该模型中的多临界点具有异常的标度不变性破缺特征，这种破缺由涨落诱导的对数调制引发，在所有维度$d<d_c^A$时，物种A的序参量和关联长度均呈现幂律行为；当$d>d_c^A$时，常规标度不变性得以恢复。突变体物种B的动力学属于定向渗流（DP）普适类，其上临界维度为$d_c^B=4$。
英文摘要
We explore the phases and active-to-absorbing state phase transitions (AAPT) in a two-species model, where the species A and its mutant B are {\em asymmetrically} or {\em nonreciprocally} coupled. We identify a multicritical point that connects the global absorbing state of both the species and its mutant, with a uniform active state. The critical dynamics at this multicritical point is studied within the lowest order perturbation theory. This asymmetric coupling between species A and mutant B leads to unequal and distinct upper critical dimensions $d_c^A$ and $d_c^B$ respectively for A and B dynamics. We show that the multicritical point in this model is characterised by an unusual breakdown of scale-invariance by fluctuation-induced logarithmic modulations with power law behaviour of the order parameter and correlation lengths of the species A at all dimensions $d<d_c^A$. Above $d_c^A$, conventional scale-invariance is restored. The dynamics of the mutant species B belongs to the DP universality class with an upper critical dimension of $d_c^B=4$
Comments10 Pages, Preliminary report
