Species separation of binary colloidal mixtures in the multi-Gauss potential: Effect of depletion

For the asymmetrical colloidal mixture subject to a confining potential and an external multi-Gauss potential, the separation of species is studied based on the classical density functional theory of simple fluids. The multi-Gauss potential consists of several Gauss barriers, which are distributed along the axial direction with uniform distance. The barrier width, barrier distance, and barrier height are individually adjusted to investigate their effects on the species separation. From the numerical results, it is concluded that in each condition, the competition between the external potential and the depletion potential determines the phase equilibrium and the separation. Species separation appears only in the region where the depletion is dominant. On the contrary, both species are absent in the regions where the external potential takes the absolute advantage.

[1]  Zhang Cai-xia,et al.  Symmetrical adhesion of two cylindrical colloids to a tubular membrane , 2013 .

[2]  A. V. A. Kumar Binary colloidal mixtures in a potential barrier: demixing due to depletion. , 2013, The Journal of chemical physics.

[3]  Zongli Sun,et al.  Density functional study of the pressure tensor for inhomogeneous Lennard—Jones fluids , 2012 .

[4]  Douglas J. Ashton,et al.  Depletion potentials in highly size-asymmetric binary hard-sphere mixtures: comparison of simulation results with theory. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  A. Archer,et al.  Selectivity in binary fluid mixtures: static and dynamical properties. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Yang-Xin Yu,et al.  A novel weighted density functional theory for adsorption, fluid-solid interfacial tension, and disjoining properties of simple liquid films on planar solid surfaces. , 2009, The Journal of chemical physics.

[7]  Lin Jin,et al.  Thermodynamic and structural properties of mixed colloids represented by a hard-core two-Yukawa mixture model fluid: Monte Carlo simulations and an analytical theory. , 2008, The Journal of chemical physics.

[8]  Jianzhong Wu,et al.  Potential distribution theorem for the polymer-induced depletion between colloidal particles. , 2007, The Journal of chemical physics.

[9]  Jun Cai,et al.  Depletion interaction in colloid/polymer mixtures: application of density functional theory , 2006 .

[10]  R. Castañeda-Priego,et al.  Entropic forces in dilute colloidal systems. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Yiping Tang,et al.  Structure and adsorption of a hard-core multi-Yukawa fluid confined in a slitlike pore: grand canonical Monte Carlo simulation and density functional study. , 2006, The journal of physical chemistry. B.

[12]  R. Castañeda-Priego,et al.  A reference interaction site model approach to depletion forces induced by hard rodlike particles. , 2005, The Journal of chemical physics.

[13]  R. Roth,et al.  Physics of size selectivity. , 2005, Physical review letters.

[14]  G. Gao,et al.  Structures and adsorption of binary hard-core Yukawa mixtures in a slitlike pore: grand canonical Monte Carlo simulation and density-functional study. , 2005, The Journal of chemical physics.

[15]  G. Gao,et al.  Structure of inhomogeneous attractive and repulsive hard-core yukawa fluid: grand canonical Monte Carlo simulation and density functional theory study. , 2005, The journal of physical chemistry. B.

[16]  Jianzhong Wu,et al.  Structures and correlation functions of multicomponent and polydisperse hard-sphere mixtures from a density functional theory. , 2004, The Journal of chemical physics.

[17]  R. Castañeda-Priego,et al.  Depletion forces in two-dimensional colloidal mixtures , 2003 .

[18]  J. Rieger,et al.  Depletion-induced phase separation in colloid-polymer mixtures. , 2003, Advances in colloid and interface science.

[19]  I. Snook,et al.  How hard is a colloidal "hard-sphere" interaction? , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  G. Kahl,et al.  Fundamental measure theory for hard-sphere mixtures revisited: the White Bear version , 2002 .

[21]  Jianzhong Wu,et al.  Structures of hard-sphere fluids from a modified fundamental-measure theory , 2002 .

[22]  S. Suh,et al.  Inhomogeneous structure of penetrable spheres with bounded interactions , 2002 .

[23]  R. Eisenberg,et al.  A physical mechanism for large-ion selectivity of ion channels , 2002 .

[24]  J. Hansen,et al.  Polymer induced depletion potentials in polymer-colloid mixtures , 2002, cond-mat/0203144.

[25]  Swapan K. Ghosh,et al.  Density functional theory of inhomogeneous fluid mixture based on bridge function , 2001 .

[26]  M. Dijkstra,et al.  Inhomogeneous model colloid-polymer mixtures: adsorption at a hard wall. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  B. Eisenberg,et al.  Binding and selectivity in L-type calcium channels: a mean spherical approximation. , 2000, Biophysical journal.

[28]  Evans,et al.  Depletion potential in hard-sphere mixtures: theory and applications , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[29]  Shiqi Zhou,et al.  A density functional theory based on the universality of the free energy density functional , 2000 .

[30]  Klein,et al.  Depletion forces in colloidal mixtures , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[31]  Shiqi Zhou,et al.  High-order direct correlation functions of uniform fluids and their application to the high-order perturbative density functional theory , 2000 .

[32]  M. Dijkstra,et al.  Depletion potential in hard-sphere fluids , 1999, cond-mat/9902189.

[33]  S. Dietrich,et al.  DEPLETION FORCES IN FLUIDS , 1998 .

[34]  Tong,et al.  Depletion interactions in colloid-polymer mixtures. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[35]  M. Cates,et al.  Depletion force in colloidal systems , 1995 .

[36]  H. Lekkerkerker,et al.  On the spinodal instability of highly asymmetric hard sphere suspensions , 1993 .

[37]  J. G. Powles,et al.  The structure of fluids confined to spherical pores: theory and simulation , 1991 .

[38]  Rosenfeld,et al.  Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing. , 1989, Physical review letters.

[39]  N. Ashcroft,et al.  Weighted-density-functional theory of inhomogeneous liquids and the freezing transition. , 1985, Physical review. A, General physics.

[40]  P. Tarazona,et al.  Free-energy density functional for hard spheres. , 1985, Physical review. A, General physics.

[41]  R. Evans The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids , 1979 .

[42]  M. Yussouff,et al.  First-principles order-parameter theory of freezing , 1979 .

[43]  Fumio Oosawa,et al.  On Interaction between Two Bodies Immersed in a Solution of Macromolecules , 1954 .

[44]  D. Henderson Fundamentals of Inhomogeneous Fluids , 1992 .

[45]  A. Vrij,et al.  Polymers at Interfaces and the Interactions in Colloidal Dispersions , 1976 .