Universal critical exponents and scaling functions in continuum percolation

作者：Hu, CK^*; Wang, FG

来源：Journal of the Korean Physical Society, 1997, 31: S271-S277.

Many interesting problems in solid state and condensed matter physics are represented more appropriately by continuum percolation model (CPM) rather than lattice percolation model (LPM). However, our understanding of CPM is far less than LPM due to difficulty in the analytic and numerical studies of CPM. In this paper we use a random deposition process and a multiple-labeling technique to study continuum percolation of soft disks and hard disks in two dimensions. We find strong evidences that critical exponents of soft disks and hard disks are in the same universality class as percolation models on planar lattices. Our results also indicate that soft disks, hard disks, and planar lattice percolation models have universal finite-size scaling functions. Similar results are found for continuum percolation in three dimensional space.

• 出版日期1997-9
• 单位上海交通大学; 中国科学院物理研究所