67. Muthukumar M (1997) Dynamics of polyelectrolyte solutions. J Chem Phys 107
(7):2619–2635. doi:10.1063/1.474573
68. Muthukumar M (2005) Polyelectrolyte dynamics. In: Rice SA (ed) Advances in chemical
physics, vol 131. Wiley, Hoboken
69. Arunachalam V, Marlow WH, Lu JX (1998) Development of a picture of the van der Waals
interaction energy between clusters of nanometer-range particles. Phys Rev E 58:3451–3457
70. Babick F, Schiel K, Stintz M (2011) Van-der-Waals interaction between two fractal
aggregates. Adv Powder Technol 22(2):220–225. doi:10.1016/j.apt.2010.11.014
71. Schiesl K, Babick F, Stintz M (2012) Calculation of double layer interaction between
colloidal aggregates. Adv Powder Technol 23(2):139–147. doi:10.1016/j.apt.2011.01.005
72. Vicsek T (1992) Fractal growth phenomena. Word Scientific, Singapore
73. Smoluchowski M (1917) Uber brownsche molekularbewegung unter einwirkung auserer
kruafte und deren zusammenhang mit der verallgemeinerten diffusions- gleichung. Ann
Phys-Leipzig 48:1103–1112
74. Meakin P (1999) A historical introduction to computer models for fractal aggregates.
J Sol–gel Sci Technol 15:97–117
75. Witten TA, Sander LM (1981) Diffusion-limited aggregation, a kinetic critical phenomenon.
Phys Rev Lett 47:1400–1403
76. Sutherland D (1966) Comment on Vold’s simulation of floc formation. J Colloid Interface Sci
22:300
77. Sutherland DN (1967) A theoretical model of floc structure. J Colloid Interface Sci
25:373–380
78. Vold M (1963) Computer simulation of floe formation in a colloidal suspension. J Colloid Sci
18:684–695
79. Eden M (1961) A two-dimensional growth process. In: Proceedings of the Fourth Berkeley
Symposium on Mathematics, Statistics and Probability, vol 4: Biology and Problems of
Health. University of California Press, Berkeley
80. Jullien R, Botet R (1987) Aggregation and fractal aggregation. World Scientific, Singapore
81. Aubert C, Cannell DS (1986) Restructuring of colloidal silica aggregates. Phys Rev Lett
56:738–741. doi:10.1103/PhysRevLett.56.738
82. Liu J, Shih WY, Sarikaya M, Aksay IA (1990) Fractal colloidal aggregates with finite
interparticle interactions: energy dependence of the fractal dimension. Phys Rev A
41:3206–3213. doi:10.1103/PhysRevA.41.3206
83. Jia Z, Wu H, Morbidelli M (2007) Thermal restructuring of fractal clusters: the case of a
strawberry-like core-shell polymer colloid. Langmuir 23:5713–5721. doi:10.1021/la063254s
84. Jullien R, Meakin P (1989) Simple models for the restructuring of three-dimensional ballistic
aggregates. J Colloid Interface Sci 127(1):265–272. doi:10.1016/0021-9797(89)90027-1
85. Shih WY, Aksay IA, Kikuchi R (1987) Reversible-growth model: cluster-cluster aggregation
with finite binding energies. Phys Rev A 36:5015–5019. doi:10.1103/PhysRevA.36.5015
86. Rioux C, Slobodrian RJ (2012) Experimental discrimination of electrostatic and magnetic
forces in particle-particle aggregation. Adv Space Res 49(10):1408–1414
87. Groenewold J, Kegel WK (2004) Colloidal cluster phases, gelation and nuclear matter. J Phys
Condens Matter 16:S4877–S4886
88. Sciortino F, Mossa S, Zaccarelli E, Tartaglia P (2004) Equilibrium cluster phases and lowdensity arrested disordered states: the role of short-range attraction and long-range repulsion.
Phys Rev Lett 93:055701
89. Rayleigh L (1882) On the equilibrium of liquid conducting masses charged with electricity.
Philos Mag 14:184–186
90. Smirnov BM (2006) Cluster processes in gases and plasmas. Distributions, structures,
phenomena, kinetics of atomic systems. Wiley-VCH, Weinheim
91. Weizsacker CFV (1935) Zur theorie der kernmassen. Z Phys 96:431–458
92. Lu PJ, Conrad JC, Wyss HM, Schofield AB, Weitz DA (2006) Fluids of clusters in attractive
colloids. Phys Rev Lett 96:028306. doi:10.1103/PhysRevLett.96.028306
Aggregation of Charged Colloidal Particles
93
(7):2619–2635. doi:10.1063/1.474573
68. Muthukumar M (2005) Polyelectrolyte dynamics. In: Rice SA (ed) Advances in chemical
physics, vol 131. Wiley, Hoboken
69. Arunachalam V, Marlow WH, Lu JX (1998) Development of a picture of the van der Waals
interaction energy between clusters of nanometer-range particles. Phys Rev E 58:3451–3457
70. Babick F, Schiel K, Stintz M (2011) Van-der-Waals interaction between two fractal
aggregates. Adv Powder Technol 22(2):220–225. doi:10.1016/j.apt.2010.11.014
71. Schiesl K, Babick F, Stintz M (2012) Calculation of double layer interaction between
colloidal aggregates. Adv Powder Technol 23(2):139–147. doi:10.1016/j.apt.2011.01.005
72. Vicsek T (1992) Fractal growth phenomena. Word Scientific, Singapore
73. Smoluchowski M (1917) Uber brownsche molekularbewegung unter einwirkung auserer
kruafte und deren zusammenhang mit der verallgemeinerten diffusions- gleichung. Ann
Phys-Leipzig 48:1103–1112
74. Meakin P (1999) A historical introduction to computer models for fractal aggregates.
J Sol–gel Sci Technol 15:97–117
75. Witten TA, Sander LM (1981) Diffusion-limited aggregation, a kinetic critical phenomenon.
Phys Rev Lett 47:1400–1403
76. Sutherland D (1966) Comment on Vold’s simulation of floc formation. J Colloid Interface Sci
22:300
77. Sutherland DN (1967) A theoretical model of floc structure. J Colloid Interface Sci
25:373–380
78. Vold M (1963) Computer simulation of floe formation in a colloidal suspension. J Colloid Sci
18:684–695
79. Eden M (1961) A two-dimensional growth process. In: Proceedings of the Fourth Berkeley
Symposium on Mathematics, Statistics and Probability, vol 4: Biology and Problems of
Health. University of California Press, Berkeley
80. Jullien R, Botet R (1987) Aggregation and fractal aggregation. World Scientific, Singapore
81. Aubert C, Cannell DS (1986) Restructuring of colloidal silica aggregates. Phys Rev Lett
56:738–741. doi:10.1103/PhysRevLett.56.738
82. Liu J, Shih WY, Sarikaya M, Aksay IA (1990) Fractal colloidal aggregates with finite
interparticle interactions: energy dependence of the fractal dimension. Phys Rev A
41:3206–3213. doi:10.1103/PhysRevA.41.3206
83. Jia Z, Wu H, Morbidelli M (2007) Thermal restructuring of fractal clusters: the case of a
strawberry-like core-shell polymer colloid. Langmuir 23:5713–5721. doi:10.1021/la063254s
84. Jullien R, Meakin P (1989) Simple models for the restructuring of three-dimensional ballistic
aggregates. J Colloid Interface Sci 127(1):265–272. doi:10.1016/0021-9797(89)90027-1
85. Shih WY, Aksay IA, Kikuchi R (1987) Reversible-growth model: cluster-cluster aggregation
with finite binding energies. Phys Rev A 36:5015–5019. doi:10.1103/PhysRevA.36.5015
86. Rioux C, Slobodrian RJ (2012) Experimental discrimination of electrostatic and magnetic
forces in particle-particle aggregation. Adv Space Res 49(10):1408–1414
87. Groenewold J, Kegel WK (2004) Colloidal cluster phases, gelation and nuclear matter. J Phys
Condens Matter 16:S4877–S4886
88. Sciortino F, Mossa S, Zaccarelli E, Tartaglia P (2004) Equilibrium cluster phases and lowdensity arrested disordered states: the role of short-range attraction and long-range repulsion.
Phys Rev Lett 93:055701
89. Rayleigh L (1882) On the equilibrium of liquid conducting masses charged with electricity.
Philos Mag 14:184–186
90. Smirnov BM (2006) Cluster processes in gases and plasmas. Distributions, structures,
phenomena, kinetics of atomic systems. Wiley-VCH, Weinheim
91. Weizsacker CFV (1935) Zur theorie der kernmassen. Z Phys 96:431–458
92. Lu PJ, Conrad JC, Wyss HM, Schofield AB, Weitz DA (2006) Fluids of clusters in attractive
colloids. Phys Rev Lett 96:028306. doi:10.1103/PhysRevLett.96.028306
Aggregation of Charged Colloidal Particles
93