Kwon Sungchul, Kim Jin Min
Department of Physics, Soongsil University, Seoul 156-743, Korea.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062149. doi: 10.1103/PhysRevE.92.062149. Epub 2015 Dec 30.
For a fixed-energy (FE) Manna sandpile model in one dimension, we investigate the critical behavior for regular initial conditions in which activities are distributed at regular intervals on average. The FE Manna model conserves the density ρ of total particles and undergoes an absorbing phase transition at a critical ρ(c). For the regular initial conditions, we show via extensive simulations that the dynamical scaling behaviors differ from those of the random and the natural initial conditions. Off-critical scaling exponents β and ν(⊥) are also measured and shown to agree well with the values of the directed percolation (DP) class as reported by Basu et al. [Phys. Rev. Lett. 109, 015702 (2012)]. Our results suggest that the dynamical scaling behaviors depend on the characteristics of initial conditions, but the off-critical scaling behaviors in the steady state are independent of initial conditions and belong to the DP class.
对于一维的固定能量（FE）曼纳沙堆模型，我们研究了规则初始条件下的临界行为，在这种初始条件下，活动平均以规则间隔分布。FE曼纳模型守恒总粒子密度ρ，并在临界密度ρ(c)处经历吸收相变。对于规则初始条件，我们通过大量模拟表明，动力学标度行为不同于随机和自然初始条件下的行为。还测量了非临界标度指数β和ν(⊥)，结果表明它们与巴苏等人[《物理评论快报》109, 015702 (2012)]报道的有向渗流（DP）类的值非常吻合。我们的结果表明，动力学标度行为取决于初始条件的特征，但稳态下的非临界标度行为与初始条件无关，属于DP类。
