Related Experiment Video
Updated: May 6, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
High-precision Monte Carlo study of directed percolation in (d+1) dimensions
Junfeng Wang1, Zongzheng Zhou, Qingquan Liu
1Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China and School of Electronic Science and Applied Physics, Hefei University of Technology, Hefei 230009, China.
Abstract:
We present a Monte Carlo study of the bond- and site-directed (oriented) percolation models in (d+1) dimensions on simple-cubic and body-centered-cubic lattices, with 2 ≤ d ≤ 7. A dimensionless ratio is defined, and an analysis of its finite-size scaling produces improved estimates of percolation thresholds. We also report improved estimates for the standard critical exponents. In addition, we study the probability distributions of the number of wet sites and radius of gyration, for 1 ≤ d ≤ 7.
More Related Videos
10:10Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
Published on: December 4, 2020
08:02Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
Published on: February 25, 2015
Related Concept Videos
The Buckingham Pi Theorem
Dimensionless Groups in Fluid Mechanics
Debye–Huckel–Onsager Conductance Equation
Dimensional Analysis
In fluid mechanics, dimensional...
Typical Model Studies
Correlation of Experimental Data
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity,...