Lee Sang Bub
Department of Physics, Kyungpook National University, Daegu 702-701, Korea.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062133. doi: 10.1103/PhysRevE.89.062133. Epub 2014 Jun 25.
The critical behavior of absorbing phase transitions for two typical models in the Manna universality class, the conserved Manna model and the conserved lattice gas model, both on a square lattice, was investigated using the natural initial states. Various critical exponents were estimated using the static and dynamic simulations. The exponents characterizing dynamics of active particles differ considerably from the known exponents obtained using the random initial states, whereas those associated with the steady-state quantities remain the same. The critical exponents for both models were consistent with errors of less than 1% and satisfied the known scaling relations; thus, the known violation of scaling relations for models with a conserved field was resolved using the natural initial states. The results differed by 7%∼12% from the directed percolation values.
使用自然初始状态，研究了曼纳普适类中两个典型模型（即正方形晶格上的守恒曼纳模型和守恒晶格气体模型）吸收相变的临界行为。通过静态和动态模拟估计了各种临界指数。表征活性粒子动力学的指数与使用随机初始状态获得的已知指数有很大差异，而与稳态量相关的指数保持不变。两个模型的临界指数在误差小于1%的情况下是一致的，并且满足已知的标度关系；因此，使用自然初始状态解决了具有守恒场的模型中已知的标度关系违反问题。结果与定向渗流值相差7%至12%。
