短程排斥经典液体的功能重整化群方法：一个无排斥参考系的方案
Functional-renormalization-group approach to classical liquids with short-range repulsion: a scheme without repulsive reference system
摘要：
经典液体的重整化群方法在以前的工作中需要一个排斥的参考，如一个硬核的应用时，与短程排斥系统。在这里，通过使用功能性重整化群方法来集成沿可变原子间耦合路径的关联函数的分层流，从而避免了对参考的需要。为了避免发散项的出现，我们引入了腔分布函数，并选择了一条路径来减小高阶关联函数分解所带来的误差。我们证明使用一个完全可解的一维模型，所得到的方案产生准确的热力学性质和原子间分布在不同的密度相比，积分方程的方法，如超网络链和打击乐Yevick方程，即使在我们的分层方程截断的情况下，柯克伍德叠加近似，这是有效的低密度的情况下。
英文摘要：
The renormalization-group approaches for classical liquids in previous works require a repulsive reference such as a hard-core one when applied to systems with short-range repulsion. The need for the reference is circumvented here by using a functional renormalization group approach for integrating the hierarchical flow of correlation functions along a path of variable interatomic coupling. We introduce the cavity distribution functions to avoid the appearance of divergent terms and choose a path to reduce the error caused by the decomposition of higher order correlation functions. We demonstrate using an exactly solvable one-dimensional models that the resulting scheme yields accurate thermodynamic properties and interatomic distribution at various densities when compared to integral-equation methods such as the hypernetted chain and the Percus-Yevick equation, even in the case where our hierarchical equations are truncated with the Kirkwood superposition approximation, which is valid for low-density cases.
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