Random packing of spheres in Menger sponge

被引:18
作者
Ciesla, Michal [1 ]
Barbasz, Jakub [1 ,2 ]
机构
[1] Jagiellonian Univ, M Smoluchowski Inst Phys, PL-30059 Krakow, Poland
[2] Polish Acad Sci, Inst Catalysis & Surface Chem, PL-30239 Krakow, Poland
关键词
RANDOM SEQUENTIAL ADSORPTION; NONINTEGER DIMENSIONS; SURFACES; CHEMISTRY; DIMERS; KEPLER; MODEL;
D O I
10.1063/1.4807835
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit. Additionally, scaling properties of density autocorrelations in the obtained packing are analyzed. The RSA kinetics coefficients are also measured. Obtained results allow to test phenomenological relation between random packing saturation density and collector dimension. Additionally, performed simulations together with previously obtained results confirm that, in general, the known dimensional relations are obeyed by systems having non-integer dimension, at least for d < 3. (C) 2013 AIP Publishing LLC.
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页数:6
相关论文
共 37 条
[1]  
Adamczyk Z, 2006, INTERFACE SCI TECHNO, V9, P1
[2]   Mechanisms of Fibrinogen Adsorption at Solid Substrates [J].
Adamczyk, Zbigniew ;
Barbasz, Jakub ;
Ciesla, Michal .
LANGMUIR, 2011, 27 (11) :6868-6878
[3]   Kinetics of Fibrinogen Adsorption on Hydrophilic Substrates [J].
Adamczyk, Zbigniew ;
Barbasz, Jakub ;
Ciesla, Michal .
LANGMUIR, 2010, 26 (14) :11934-11945
[4]  
[Anonymous], 1992, INT MATH RES NOTICES, DOI DOI 10.1155/S1073792892000242
[5]   MOLECULAR FRACTAL SURFACES [J].
AVNIR, D ;
FARIN, D ;
PFEIFER, P .
NATURE, 1984, 308 (5956) :261-263
[6]   CHEMISTRY IN NONINTEGER DIMENSIONS BETWEEN 2 AND 3 .2. FRACTAL SURFACES OF ADSORBENTS [J].
AVNIR, D ;
FARIN, D ;
PFEIFER, P .
JOURNAL OF CHEMICAL PHYSICS, 1983, 79 (07) :3566-3571
[7]   Functional role of the fractal morphology of corals: a full model of the nutrient turbulent diffusion fluxes to a coral reef [J].
Basillais, E .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE III-SCIENCES DE LA VIE-LIFE SCIENCES, 1998, 321 (04) :295-298
[8]   PAIR CORRELATION-FUNCTION IN RANDOM SEQUENTIAL ADSORPTION PROCESSES [J].
BONNIER, B ;
BOYER, D ;
VIOT, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11) :3671-3682
[9]   Polydisperse adsorption: Pattern formation kinetics, fractal properties, and transition to order [J].
Brilliantov, NV ;
Andrienko, YA ;
Krapivsky, PL ;
Kurths, J .
PHYSICAL REVIEW E, 1998, 58 (03) :3530-3536
[10]  
Cadilhe A, 2004, MOD PHYS LETT B, V18, P207, DOI 10.1142/S0217984904006846