摘要翻译：
从著名的有向渗流场理论出发，我们描述了一个在具有非平凡时空动力学的环境中，濒临灭绝的进化种群。在这里，我们考虑环境遵循简单弛豫（模型a）动力学的特殊情况。出现了两个新的算子，其上临界维数为4，它们以一种非平凡的方式将两个理论结合在一起。虽然Wilson-Fisher不动点仍然完全不受影响，但时间尺度的失配破坏了通常的DP不动点的稳定性，暗示了从活跃（生存）状态到不活跃（灭绝）状态的一阶过渡的交叉。
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英文标题：
《Universal properties of population dynamics with fluctuating resources》
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作者：
Sayak Mukherjee, H.K. Janssen, and B. Schmittmann
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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：
  Starting from the well-known field theory for directed percolation, we describe an evolving population, near extinction, in an environment with its own nontrivial spatio-temporal dynamics. Here, we consider the special case where the environment follows a simple relaxational (Model A) dynamics. Two new operators emerge, with upper critical dimension of four, which couple the two theories in a nontrivial way. While the Wilson-Fisher fixed point remains completely unaffected, a mismatch of time scales destabilizes the usual DP fixed point, suggesting a crossover to a first order transition from the active (surviving) to the inactive (extinct) state.
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PDF链接：
https://arxiv.org/pdf/706.045