Coupling Effects of Depletion Interactions in Colloidal Suspensions

Affiliation(s)

Department of Electronic Engineering, Hunan University of Science and Engineering, Yongzhou, China.

Department of Electronic Engineering, Hunan University of Science and Engineering, Yongzhou,China.

Department of Physics, Hunan Normal University, Changsha,China.

Department of Electronic Engineering, Hunan University of Science and Engineering, Yongzhou, China.

Department of Electronic Engineering, Hunan University of Science and Engineering, Yongzhou,China.

Department of Physics, Hunan Normal University, Changsha,China.

ABSTRACT

The depletion interactions of the three-sphere system in which the three spheres are on one line are studied by Monte Carlo simulations. The depletion interactions are determined by ARM, and the coupling effect was proved by the numerical result that the depletion interactions in the three-sphere system are larger than that of the corresponding two-sphere system. Furthermore, we find that the mechanisms of the coupling effect and the effect on depletion force from the geometry factor are the same. In addition, the numerical results also show that this coupling effect will be affected by both the volume fraction and separation of three-sphere system.

The depletion interactions of the three-sphere system in which the three spheres are on one line are studied by Monte Carlo simulations. The depletion interactions are determined by ARM, and the coupling effect was proved by the numerical result that the depletion interactions in the three-sphere system are larger than that of the corresponding two-sphere system. Furthermore, we find that the mechanisms of the coupling effect and the effect on depletion force from the geometry factor are the same. In addition, the numerical results also show that this coupling effect will be affected by both the volume fraction and separation of three-sphere system.

Cite this paper

H. Gao, Z. Chen, C. Li and C. Xiao, "Coupling Effects of Depletion Interactions in Colloidal Suspensions,"*Journal of Modern Physics*, Vol. 3 No. 9, 2012, pp. 918-922. doi: 10.4236/jmp.2012.39119.

H. Gao, Z. Chen, C. Li and C. Xiao, "Coupling Effects of Depletion Interactions in Colloidal Suspensions,"

References

[1] S. Asakura and F. J. Oosawa, “On Interaction between Two Bodies Immersed in a Solution of Macromolecules,” Journal of Chemical Physics, Vol. 22, No. 7, 1954, pp. 1255-1256. doi:10.1063/1.1740347

[2] B. G?tzelmann, R. Evans and S. Dietrich, “Depletion Forces in Fluids,” Physical Review E, Vol. 57, No. 6, 1998, pp. 6785-6800. doi:10.1103/PhysRevE.57.6785

[3] C. M. Xiao and J. Y. Guo, “Depletion Forces in Colloidal System under Geometrical Confinements,” Europhysics Letters, Vol. 73, No. 3, 2006, p. 443. doi:10.1209/epl/i2005-10397-2

[4] J. Z. Wu, D. Bratko, H. W. Blanch and J. M. Paausnitz, “Effect of Three-Body Forces on the Phase Behavior of Charged Colloids,” Journal of Chemical Physics, Vol. 113, No. 8, 2000, pp. 3360-3365. doi:10.1063/1.1287173

[5] D. Goulding and S. Melchionna, “Accurate Calculation of Three-Body Depletion Interactions,” Physical Review E, Vol. 64, No. 1, 2001, Article ID: 011403. doi:10.1103/PhysRevE.64.011403

[6] J. M. Brader, M. Dijkstra and R. Evans, “Inhomogeneous Model Colloid-Polymer Mixtures: Adsorption at a Hard Wall,” Physical Review E, Vol. 63, No. 4, 2001, Article ID: 041405. doi:10.1103/PhysRevE.63.041405

[7] D.-M. Zhu, W.-H. Li and H. R. Ma, “On Pair Additivity of the Depletion Force,” Journal of Physics: Condensed Matter, Vol. 15, No. 49, 2003, p. 8281. doi:10.1088/0953-8984/15/49/007

[8] W. H. Li and H. R. Ma, “Depletion Potential near Curved Surfaces,” Physical Review E, Vol. 66, No. 6, 2002, pp. 61407-61413. doi:10.1088/0953-8984/15/49/007

[9] C. S. Li and C. M. Xiao, “Depletion Interactions in Charged Colloidal System,” Acta Physica Sinica, Vol. 56, No. 4, 2007, pp. 2434-2441.

[10] C. M. Xiao, J. Y. Guo and P. Hu, “Geometrical Confinements and Depletion Interactions,” Physical Review E, Vol. 73, No. 6, 2006, Article ID: 061403. doi:10.1103/PhysRevE.73.061403

[11] L. X. Wang, H. X. Gao and C. M. Xiao, “Coupling Effects of Depletion Interactions in Colloidal System,” Acta Physica Sinica, Vol. 58, No. 8, 2009, pp. 5864-5870.

[12] H. X. Gao and C. M. Xiao, “Depletion Interactions in Cylinder,” Physics Letters A, Vol. 362, No. 2-3, 2007, pp. 234-238. doi:10.1016/j.physleta.2006.10.019

[13] C. M. Xiao, J. Y. Guo and P. Hu, “A Monte Carlo Study of Influences on Depletion Force from Another Large Sphere in Colloidal Suspensions,” Chinese Physics Letters, Vol. 23, No. 4, 2006, p. 1038. doi:10.1088/0256-307X/23/4/077

[14] C. H. Bennett, “Efficient Estimation of Free Energy Differences from Monte Carlo Data,” Journal of Computational Physics, Vol. 22, No. 2, 1976, pp. 245-268. doi:10.1016/0021-9991(76)90078-4

[1] S. Asakura and F. J. Oosawa, “On Interaction between Two Bodies Immersed in a Solution of Macromolecules,” Journal of Chemical Physics, Vol. 22, No. 7, 1954, pp. 1255-1256. doi:10.1063/1.1740347

[2] B. G?tzelmann, R. Evans and S. Dietrich, “Depletion Forces in Fluids,” Physical Review E, Vol. 57, No. 6, 1998, pp. 6785-6800. doi:10.1103/PhysRevE.57.6785

[3] C. M. Xiao and J. Y. Guo, “Depletion Forces in Colloidal System under Geometrical Confinements,” Europhysics Letters, Vol. 73, No. 3, 2006, p. 443. doi:10.1209/epl/i2005-10397-2

[4] J. Z. Wu, D. Bratko, H. W. Blanch and J. M. Paausnitz, “Effect of Three-Body Forces on the Phase Behavior of Charged Colloids,” Journal of Chemical Physics, Vol. 113, No. 8, 2000, pp. 3360-3365. doi:10.1063/1.1287173

[5] D. Goulding and S. Melchionna, “Accurate Calculation of Three-Body Depletion Interactions,” Physical Review E, Vol. 64, No. 1, 2001, Article ID: 011403. doi:10.1103/PhysRevE.64.011403

[6] J. M. Brader, M. Dijkstra and R. Evans, “Inhomogeneous Model Colloid-Polymer Mixtures: Adsorption at a Hard Wall,” Physical Review E, Vol. 63, No. 4, 2001, Article ID: 041405. doi:10.1103/PhysRevE.63.041405

[7] D.-M. Zhu, W.-H. Li and H. R. Ma, “On Pair Additivity of the Depletion Force,” Journal of Physics: Condensed Matter, Vol. 15, No. 49, 2003, p. 8281. doi:10.1088/0953-8984/15/49/007

[8] W. H. Li and H. R. Ma, “Depletion Potential near Curved Surfaces,” Physical Review E, Vol. 66, No. 6, 2002, pp. 61407-61413. doi:10.1088/0953-8984/15/49/007

[9] C. S. Li and C. M. Xiao, “Depletion Interactions in Charged Colloidal System,” Acta Physica Sinica, Vol. 56, No. 4, 2007, pp. 2434-2441.

[10] C. M. Xiao, J. Y. Guo and P. Hu, “Geometrical Confinements and Depletion Interactions,” Physical Review E, Vol. 73, No. 6, 2006, Article ID: 061403. doi:10.1103/PhysRevE.73.061403

[11] L. X. Wang, H. X. Gao and C. M. Xiao, “Coupling Effects of Depletion Interactions in Colloidal System,” Acta Physica Sinica, Vol. 58, No. 8, 2009, pp. 5864-5870.

[12] H. X. Gao and C. M. Xiao, “Depletion Interactions in Cylinder,” Physics Letters A, Vol. 362, No. 2-3, 2007, pp. 234-238. doi:10.1016/j.physleta.2006.10.019

[13] C. M. Xiao, J. Y. Guo and P. Hu, “A Monte Carlo Study of Influences on Depletion Force from Another Large Sphere in Colloidal Suspensions,” Chinese Physics Letters, Vol. 23, No. 4, 2006, p. 1038. doi:10.1088/0256-307X/23/4/077

[14] C. H. Bennett, “Efficient Estimation of Free Energy Differences from Monte Carlo Data,” Journal of Computational Physics, Vol. 22, No. 2, 1976, pp. 245-268. doi:10.1016/0021-9991(76)90078-4