Molecular-shape- A nd size-independent power-law dependence of percolation thresholds on radius of gyration in ideal molecular systems

Yuki Norizoe, Toshihiro Kawakatsu, Hiroshi Morita

Research output: Contribution to journalArticlepeer-review

Abstract

Three-dimensional single-component ideal gas systems composed of model homogeneous rigid molecules in various molecular shapes and sizes are simulated by a molecular Monte Carlo simulation technique. We reveal that percolation thresholds of such single-component systems result in, when the molecular volume is fixed, power-law decreasing functions of the radius of gyration (gyradius) of the molecules. The systems with the same parameter set of the molecular volume and radius of gyration, but in different molecular shapes, show the identical value of the percolation threshold. Moreover, we also reveal that a dimensionless scale-free parameter, which is the ratio between the radius of gyration and the real cube root of the molecular volume, uniquely determines the percolation threshold.

Original languageEnglish
Article number36003
JournalEPL
Volume133
Issue number3
DOIs
Publication statusPublished - 2021 Jan

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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