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摘要翻译：
我们利用Bethe Ansatz导出了具有向前和向后跳跃的非对称排斥过程中当前统计量的解析表达式。Bethe方程是高度耦合的，这一事实阻碍了它们用于推导有限系统的精确结果。我们通过将Bethe方程重新表述为一个一元多项式问题来克服这个技术困难，类似于泛函Bethe Ansatz。这个方程的微扰解导致电流的累积量。我们在这里计算了前两阶，并导出了电流及其涨落的平均值的精确公式。
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英文标题：
《Current Fluctuations in the exclusion process and Bethe Ansatz》
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作者：
Sylvain Prolhac and Kirone Mallick
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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：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 use the Bethe Ansatz to derive analytical expressions for the current statistics in the asymmetric exclusion process with both forward and backward jumps. The Bethe equations are highly coupled and this fact has impeded their use to derive exact results for finite systems. We overcome this technical difficulty by a reformulation of the Bethe equations into a one variable polynomial problem, akin to the functional Bethe Ansatz. The perturbative solution of this equation leads to the cumulants of the current. We calculate here the first two orders and derive exact formulae for the mean value of the current and its fluctuations.
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PDF链接：
https://arxiv.org/pdf/801.4659
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