Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices.
Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices.
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DOI：
10.1103/physreve.93.012110
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发表时间：
2015-09
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通讯作者：
Marcelo Martins de Oliveira;S. G. Alves;Silvio C. Ferreira
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作者：
Marcelo Martins de Oliveira;S. G. Alves;Silvio C. Ferreira
研究了具有猝灭配位无序的二维Voronoi-Delaunay（VD）随机晶格中的吸收态相变。猝灭随机性通常会改变低维非平衡系统的临界性，破坏非连续跃迁。我们对Ziff-Gulari-Barshad模型进行了广泛的模拟，并验证了VD无序不会改变其不连续跃迁的性质。我们的研究结果证实了Barghathi和Vojta最近的发现[H. Barghathi和T. Vojta，Phys. Rev. Lett. 113，120602（2014）PRLTA 00031 -900710.1103/PhysRevLett.113.120602]，指出了拓扑无序在包括VD的一类随机晶格中的不相关性，并提出了非平衡APT中的无序在某些条件下可能与相共存无关的有趣可能性。我们还验证了VD障碍是无关的临界行为的模型属于定向渗流和甘露普适类。
We study absorbing-state phase transitions (APTs) in two-dimensional Voronoi-Delaunay (VD) random lattices with quenched coordination disorder. Quenched randomness usually changes the criticality and destroys discontinuous transitions in low-dimensional nonequilibrium systems. We performed extensive simulations of the Ziff-Gulari-Barshad model, and verified that the VD disorder does not change the nature of its discontinuous transition. Our results corroborate recent findings of Barghathi and Vojta [H. Barghathi and T. Vojta, Phys. Rev. Lett. 113, 120602 (2014)PRLTAO0031-900710.1103/PhysRevLett.113.120602], stating the irrelevance of topological disorder in a class of random lattices that includes VD, and raise the interesting possibility that disorder in nonequilibrium APT may, under certain conditions, be irrelevant for the phase coexistence. We also verify that the VD disorder is irrelevant for the critical behavior of models belonging to the directed percolation and Manna universality classes.