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摘要翻译：
在非平衡相变到吸收（俘获）态时，有向渗流(DP)临界标度被两类模型所共享，这两类模型分别具有单个(S)个吸收态和无限多个(IM)个吸收态。我们研究了一维交叉行为，这是由于吸收态的数量显著减少（通常从IM型到S型DP模型），通过遵循两条不同的（兴奋性或抑制性）路线，使辅助场密度在交叉处突然跳跃。在兴奋性路径上，即使在极小的扰动下，系统也变得过度激活，其交叉变得不连续。沿着抑制路线，我们发现连续交叉，其通用交叉指数$\phi\simeq1.78(6)$在一般基础上等于DP通用类的松弛时间指数$\nu\$。这个猜想在有向Ising（宇称守恒）类的情况下也得到了证实。最后，我们讨论了扩散对IM型模型的影响，并提出了为什么含有杂化反应的扩散模型应属于DP类的论点。
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英文标题：
《Nontrivial critical crossover between directed percolation models:
Effect of infinitely many absorbing states》
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作者：
Su-Chan Park and Hyunggyu Park
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
At non-equilibrium phase transitions into absorbing (trapped) states, it is well known that the directed percolation (DP) critical scaling is shared by two classes of models with a single (S) absorbing state and with infinitely many (IM) absorbing states. We study the crossover behavior in one dimension, arising from a considerable reduction of the number of absorbing states (typically from the IM-type to the S-type DP models), by following two different (excitatory or inhibitory) routes which make the auxiliary field density abruptly jump at the crossover. Along the excitatory route, the system becomes overly activated even for an infinitesimal perturbation and its crossover becomes discontinuous. Along the inhibitory route, we find continuous crossover with the universal crossover exponent $\phi\simeq 1.78(6)$, which is argued to be equal to $\nu_\|$, the relaxation time exponent of the DP universality class on a general footing. This conjecture is also confirmed in the case of the directed Ising (parity-conserving) class. Finally, we discuss the effect of diffusion to the IM-type models and suggest an argument why diffusive models with some hybrid-type reactions should belong to the DP class.
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PDF链接：
https://arxiv.org/pdf/706.2973
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