论文标题
小型连续渗透系统中磁盘覆盖的区域：弦渗透模型的应用
Area covered by disks in small-bounded continuum percolating systems: An application to the string percolation model
论文作者
论文摘要
在字符串渗透模型中，对高能碰撞系统的研究基于连续渗透理论在两个维度上，其中分布在感兴趣表面的字符串数量由碰撞粒子的大小和能量强烈决定。还可以预期，磁盘处于有限的表面，定义一个没有周期性边界条件的系统。在这项工作中，我们报告了由于磁盘数量有限而被磁盘覆盖的区域所覆盖区域的比例进行修改，并由不同的几何形状界定：圆，椭圆，三角形，正方形和五角大楼，这对应于粒子碰撞后初始状态的第一个傅立叶模式。我们发现，磁盘所覆盖的面积的偏差与热力学极限中的相应值的偏差满足了普遍的行为，其中自由参数取决于密度曲线，磁盘数量和边界的形状。因此，还发现，弦渗透模型的颜色抑制因子是通过与小型效应相关的阻尼函数来修改的。还显示了针对小型和椭圆界的系统的校正温度和弦系统中定义的声速。
In string percolation model, the study of colliding systems at high energies is based on a continuum percolation theory in two dimensions where the number of strings distributed in the surface of interest is strongly determined by the size and the energy of the colliding particles. It is also expected that the surface where the disks are lying be finite, defining a system without periodic boundary conditions. In this work, we report modifications to the fraction of the area covered by disks in continuum percolating systems due to a finite number of disks and bounded by different geometries: circle, ellipse, triangle, square and pentagon, which correspond to the first Fourier modes of the shape fluctuation of the initial state after the particle collision. We find that the deviation of the fraction of area covered by disks from its corresponding value in the thermodynamic limit satisfies a universal behavior, where the free parameters depend on the density profile, number of disks and the shape of the boundary. Consequently, it is also found that the color suppression factor of the string percolation model is modified by a damping function related to the small-bounded effects. Corrections to the temperature and the speed of sound defined in string systems are also shown for small and elliptically bounded systems.
