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从具有扩散的成对接触过程到定向渗流的交叉。

Crossover from the pair contact process with diffusion to directed percolation.

作者信息

Park Su-Chan, Park Hyunggyu

机构信息

School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Feb;73(2 Pt 2):025105. doi: 10.1103/PhysRevE.73.025105. Epub 2006 Feb 16.

Abstract

Crossover behaviors from the pair contact process with diffusion (PCPD) and the driven PCPD (DPCPD) to the directed percolation (DP) are studied in one dimension by introducing a single particle annihilation and/or branching dynamics. The crossover exponents phi are estimated numerically as 1/phi approximately 0.58 +/- 0.03 for the PCPD and 1/phi approximately 0.49+/-0.02 for the DPCPD. Nontriviality of the PCPD crossover exponent strongly supports the non-DP nature of the PCPD critical scaling, which is further evidenced by the anomalous critical amplitude scaling near the PCPD point. In addition, we find that the DPCPD crossover is consistent with the mean field prediction of the tricritical DP class as expected.

摘要

通过引入单粒子湮灭和/或分支动力学,在一维空间中研究了具有扩散的配对接触过程(PCPD)和驱动的PCPD(DPCPD)到定向渗流(DP)的交叉行为。对于PCPD,交叉指数phi通过数值估计为1/phi约为0.58±0.03,对于DPCPD,1/phi约为0.49±0.02。PCPD交叉指数的非平凡性有力地支持了PCPD临界标度的非DP性质,这在PCPD点附近的反常临界振幅标度中得到了进一步证明。此外,我们发现DPCPD交叉与预期的三临界DP类的平均场预测一致。

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