|Statistical Properties on the Aggregation of Patchy Particles|
|X. Z. Hong; F. Gu; J. T. Li; H. J. Wang
|Source Publication||Chemical Journal of Chinese Universities-Chinese
|Abstract||The aggregation of patchy particle with distinct patchy was investigated by the statistical mechanical method, in which the change in some average physical quantities with degree of association was of the particular interest. Specifically, the equilibrium free energy and laws of mass action describing the two types of associations were derived by the constructed partition function, and then the size distribution of patchy clusters was obtained. Based on these results, the number- and weight-average degrees of association, the gelation condition as well as the dependence of pre-gel and post-gel regimes on the patchy number were discussed. Furthermore, the kinetic differential equation for description of the growth of patchy clusters was proposed and used to perform the Monte Carlo simulation. The consistence between simulation and analytical results demonstrate the validity of the kinetic differential equation. An aim is attempted to correlate thermodynamic and dynamic conditions with the degrees of association, and thereby provide possible clue for regulating the aggregated and phase structures of patchy particles.|
|description.department||[hong xiaozhong] hebei univ, coll phys sci & technol, baoding 071002, peoples r china. [gu fang
; li jiangtao
; wang haijun] hebei univ, coll chem & environm sci, baoding 071002, peoples r china. [wang haijun] hebei univ, chem biol key lab hebei prov, baoding 071002, peoples r china. [wang haijun] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china.
; wang, hj (reprint author), hebei univ, coll chem & environm sci, baoding 071002, peoples r china.
X. Z. Hong,F. Gu,J. T. Li,et al. Statistical Properties on the Aggregation of Patchy Particles[J]. Chemical Journal of Chinese Universities-Chinese,2014,35(7):1579-1583.
X. Z. Hong,F. Gu,J. T. Li,&H. J. Wang.(2014).Statistical Properties on the Aggregation of Patchy Particles.Chemical Journal of Chinese Universities-Chinese,35(7),1579-1583.
X. Z. Hong,et al."Statistical Properties on the Aggregation of Patchy Particles".Chemical Journal of Chinese Universities-Chinese 35.7(2014):1579-1583.
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