2015/10/31 by M. Dixit, Mohit Dixit, Hugues Meyer +1 · 8 citations
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Condensed matter physics #Critical exponent #Electrical resistivity and conductivity #Geometry #Inverse #Material Dynamics and Properties #Materials science #Mathematics #Monte Carlo method #Percolation (cognitive psychology) #Percolation critical exponents #Percolation threshold #Physics #Quantum mechanics #Scaling #Social connectedness #Square (algebra) #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #Virial coefficient #cond-mat.soft
paper · pdf · doi:10.1103/physreve.93.012116
published in Physical review. E 93(1), 012116 (American Physical Society) · 14 pages, 6 figures
arxiv created 2015/12/16 · openalex publication_date 2016/01/11 · arxiv updated 2016/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have studied the connectivity percolation transition in suspensions of attractive square-well spherocylinders by means of Monte Carlo simulation and connectedness percolation theory. In the 1980s the percolation threshold of slender fibers has been predicted to scale as the fibers' inverse aspect ratio [Phys. Rev. B 30, 3933 (1984)PRBMDO1098-012110.1103/PhysRevB.30.3933]. The main finding of our study is that the attractive spherocylinder system reaches this inverse scaling regime at much lower aspect ratios than found in suspensions of hard spherocylinders. We explain this difference by showing that third virial corrections of the pair connectedness functions, which are responsible for the deviation from the scaling regime, are less important for attractive potentials than for hard particles.