Volume 133, Number 3, February 2021
|Number of page(s)||7|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||29 March 2021|
Molecular-shape- and size-independentpower-law dependenceof percolation thresholds on radius of gyration in ideal molecularsystems
1 Department of Physics, Graduate School ofScience, Tohoku University - 980-8578 Sendai, Japan
2 National Institute of Advanced Industrial Science andTechnology (AIST) - Central 2-1, 1-1-1 Umezono,Tsukuba, Ibaraki 305-8568, Japan
Received: 20 May 2020
Accepted: 11 January 2021
Three-dimensional single-component ideal gassystems composed of model homogeneous rigid molecules in various molecularshapes and sizes are simulated by a molecular Monte Carlo simulationtechnique. We reveal that percolation thresholds of suchsingle-component systems result in, when the molecular volume isfixed, power-law decreasing functions of the radius of gyration(gyradius) of the molecules. The systems with the same parameter set of themolecular volume and radius of gyration, but in different molecular shapes,show the identical value of the percolation threshold. Moreover, we also revealthat a dimensionless scale-free parameter, which is the ratio betweenthe radius of gyration and the real cube root of the molecular volume,uniquely determines the percolation threshold.
PACS: 64.60.ah – Percolation / 64.60.De – Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.) / 61.25.he – Polymer solutions
© 2021 The author(s)
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