论文标题
分支歼灭吸引步行的跨界行为
Crossover behaviors in branching annihilating attracting walk
论文作者
论文摘要
我们在一个维度上引入了分支歼灭吸引步行（Baaw）的人。吸引行走是通过偏见的跳跃实现的，使粒子更喜欢跳到位于吸引范围内最近粒子的侧面的最近的邻居。我们通过大量的蒙特卡洛模拟研究了四个后代的鲍。首先，我们发现Baaw的关键指数具有无限范围的吸引力，这与定向的ISING（DI）通用类别不同。我们的结果与最近的观察结果一致[B. Daga和P. Ray，物理。 Rev. E {\ bf 99}，032104（2019）]。然后，通过研究跨界行为，我们表明，就吸引力范围而言，Baaw属于DI类。我们得出的结论是，带有无限吸引力范围的Baaw的非DI临界行为的起源是吸引力的远程性质。
We introduce branching annihilating attracting walk (BAAW) in one dimension. The attracting walk is implemented by a biased hopping in such a way that a particle prefers hopping to a nearest neighbor located on the side where the nearest particle is found within the range of attraction. We study the BAAW with four offspring by extensive Monte Carlo simulation. At first, we find the critical exponents of the BAAW with infinite range of attraction, which are different from those of the directed Ising (DI) universality class. Our results are consistent with the recent observation [B. Daga and P. Ray, Phys. Rev. E {\bf 99}, 032104 (2019)]. Then, by studying crossover behaviors, we show that as far as the range of attraction is finite the BAAW belongs to the DI class. We conclude that the origin of non-DI critical behavior of the BAAW with infinite range of attraction is the long-range nature of the attraction.
