Abstract
We investigate the coverage and structure of a layer of particles deposited on a line after diffusion in a gravitational field. The dynamics of the depositing particles is controlled by the gravity number N G(=πd 4 Δρg/6k B T), where d is the diameter of the particles, Δρ is the density difference between the particles and the solution, g is the acceleration due to gravity, k B is Boltzmann's constant, and T is the temperature. The position-dependent flux of particles in a gap formed by two preadsorbed particles is estimated by superposition of solutions of a steady-state convective diffusion equation for the flux in the presence of a single preadsorbed particle. The saturation coverages are found with a recursion relation and are in good agreement with those obtained from Brownian dynamics simulation. The jamming coverage increases rapidly with increasing particle size, particularly for large values of Δρ. An algorithm is presented to generate adsorbed configurations from which the structure of the deposit is determined.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
J. D. Andrade, and V. Hlady, Adv. Polymer Sci. 79:1 (1987).
J. D. Andrade, Surface and Interfacial Aspects of Biomolecular Polymers, J. D. Andrade, ed., Vol. 2, Protein Adsorption (Plenum Press, New York, 1985).
J. D. Andrade, Thin Solid Films 152:335 (1987).
P. Schaaf and J. Talbot, Phys. Rev. Lett. 62:175 (1989).
J. Feder, J. Theor. Biol. 87:237 (1980).
E. L. Hinrichsen, J. Feder, and T. Jøssang, J. Stat. Phys. 44:793 (1986).
G. Y. Onoda and B. G. Liniger, Phys. Rev. Lett. 73:114 (1986).
B. Senger, J.-C. Voegel, P. Schaaf, A. Johner, A. Schmitt, and J. Talbot, Phys. Rev. A 44:6926 (1991).
B. Senger, P. Schaaf, J.-C. Voegel, A. Johner, A. Schmitt, and J. Talbot, J. Chem. Phys. 97:3813 (1992).
B. Senger, J. Talbot, P. Schaaf, A. Schmitt, and J.-C. Voegel, Europhys. Lett. 21:135 (1993).
F. J. Bafaluy, H. S. Choi, B. Senger, and J. Talbot, Phys. Rev. E 51:5985 (1995).
J. Talbot and S. Ricci, Phys. Rev. Lett. 68:958 (1992).
R. Jullien and P. Meakin, J. Phys. A. 25:L189 (1992).
A. P. Thompson and E. D. Glandt, Phys. Rev. A 46:4639 (1992).
H. S. Choi, J. Talbor, G. Tarjus, and P. Viot, J. Chem. Phys. 99:9296 (1993).
H. S. Choi, Ph.D. diss., Purdue University, West Lafayette, IN, USA (1995).
B. Senger, F. J. Bafaluy, P. Schaaf, A. Schmitt, and J.-C. Voegel, Proc. Nat. Acad. Sci. 89:9449 (1992).
B. Senger, R. Ezzeddin, F. J. Bafaluy, P. Schaaf, F. J. G. Cuisinier, and J.-C. Voegel, J. Theor. Biol. 163:457 (1993).
J. Faraudo and J. Bafaluy, Phys. Rev. E 54:3725 (1996).
H. S. Choi and J. Talbot, Korean J. of Chem. Eng. 14:117 (1997).
J. Pagonabaraga and J. M. Rub, Phys. Rev. Lett. 73:114 (1994).
M. Elimelech, J. Colloid Interface Sci. 164:190 (1994a).
M. Elimelech, Sep. Technol. 4:186 (1994b).
A. Renyi, Publ. Math. Inst. Hung. Acad. Sci. 3:109, (1958).
P. Wojtaszczyk, P. Schaaf, B. Senger, M. Zembala, and J. C. Voegel, J. Chem. Phys. 99:7198 (1993).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Choi, H.S., Talbot, J. Coverage and Structure of Films of Spherical Particles Deposited after Diffusing in a Gravitational Field. Journal of Statistical Physics 92, 891–908 (1998). https://doi.org/10.1023/A:1023040509781
Issue Date:
DOI: https://doi.org/10.1023/A:1023040509781