摘要翻译：
我们考虑了长度为L的随机定向聚合物的两种构型，它们被限制在一个平面上，并以2u相隔的两点结束。定义了两种构型的平均自由能$\bar F$和自由能差F′，利用复制方法确定了联合分布函数P_{L,u}(\bar F,F′)。我们发现，对于大的L和大的负自由能$\bar F$，联合分布函数分解为纵向(P_{L,u}(\bar F))和横向(P_{u}(F′))分量，这与通过不同的独立路线所得到的结果是一致的。
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英文标题：
《Joint free energy distribution in the random directed polymer problem》
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作者：
V.S.Dotsenko, L.B.Ioffe, V.B.Geshkenbein, S.E.Korshunov and G.Blatter
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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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：
  We consider two configurations of a random directed polymer of length L confined to a plane and ending in two points separated by 2u. Defining the mean free energy $\bar F$ and the free energy difference F' of the two configurations, we determine the joint distribution function P_{L,u}(\bar F,F') using the replica approach. We find that for large L and large negative free energies $\bar F$, the joint distribution function factorizes into longitudinal (P_{L,u} (\bar F)) and transverse (P_{u}(F')) components, which furthermore coincide with results obtained prevously via different independent routes.
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PDF链接：
https://arxiv.org/pdf/705.022