标题： 杨-李零点对于实空间凝聚 显示英文标题

标题： Yang-Lee zeros for real-space condensation

摘要： 使用静电类比，我们推导出一般权重随机分配模型中极限Yang-Lee零点分布的精确公式。这表现出一种实空间凝聚相变，这是由压力变化引起的。精确解允许读取临界点处零点密度的标度以及零点轨迹与临界点相交的角度。由于相变阶数和临界指数可以通过一个参数对几类权重进行调节，该模型为验证零点分布与临界行为之间的各种关系，以及探索介观尺度下物理量的行为（即大但有限大小的系统）提供了有用的测试平台。主要结果是，渐近地，Yang-Lee零点是权重生成函数所给出的共形映射下均匀分布复数相位的图像。 显示英文摘要

摘要： Using the electrostatic analogy, we derive an exact formula for the limiting Yang-Lee zero distribution in the random allocation model of general weights. This exhibits a real-space condensation phase transition, which is induced by a pressure change. The exact solution allows one to read off the scaling of the density of zeros at the critical point and the angle at which locus of zeros hits the critical point. Since the order of the phase transition and critical exponents can be tuned with a single parameter for several families of weights, the model provides a useful testing ground for verifying various relations between the distribution of zeros and the critical behavior, as well as for exploring the behavior of physical quantities in the mesoscopic regime, i.e., systems of large but finite size. The main result is that asymptotically the Yang-Lee zeros are images of a conformal mapping, given by the generating function for the weights, of uniformly distributed complex phases.