Local structure of colloid and hydrogen bonding fluids near a semipermeable vesical membrane

doi:10.3969/j.issn.1000-1565.2019.02.006

Abstract

Abstract: The structure of a solution consisting of colloid particles and hydrogen bonding(HB)fluid separated by a semipermeable vesical membrane was investigated. The semipermeable membrane allows the free passage of hydrogen bonding fluid but not colloid particles. Firstly, based on the density functional theory the grand potential of the system and the equilibrium density distribution of the fluids near the membrane were obtained. In addition, the effects of HB energy, HB functionality, bulk fluid density and the size ratio of two species on the local structure were also discussed. It was shown that the equilibrium density and local structure of the two components were closely related to these factors, and it was expected that the present results were helpful to reveal the local structure in the mesoscopic scale and the infiltration of biophysical processes.

Key words: hydrogen bonding fluid, semipermeable membrane, density functional theory

CLC Number:

ZHANG Meng, YIN Luping, ZHAO Meng, WANG Qianqian, LI Jiangtao, GU Fang. Local structure of colloid and hydrogen bonding fluids near a semipermeable vesical membrane[J]. Journal of Hebei University (Natural Science Edition), 2019, 39(2): 144-151.

References

[1] BOROWKO M, PATRYKIEJEW A, RZYSKO W, et al. Complex phase behavior of a fluid in slits with semipermeable walls modified with tethered chains[J].The Journal of Chemical Physics, 2011, 134(4):044705-1-10. DOI:10.1063/1.3530791.
[2] BENEDEK G B, VILLARS F M H. Physics with illustrative examples from medicine and biology[M]. New York:Springer-Verlag, 2000:212.
[3] BRYK P. Effective interactions in colloid semipermeable membrane systems[J].Langmuir, 2006, 22(7):3214-3220. DOI:10.1021/la053357v.
[4] BRYK P, PIZIO O, SOKOLOWSKI S. A hard sphere fluid in equilibrium with microporous membranes. Inhomogeneous replica Ornstein-Zernike equations and grand canonical Monte Carlo simulations[J].Molecular Physics, 1998, 95(2):311-317. DOI:10.1080/00268979809483163.
[5] PATRYKIEJEW A, SOKOLOWSKI S, ILNYSKYI J, et al. Density functional approach to the description of fluids in contact with bilayers[J].The Journal of Chemical Physics, 2010, 132(24):244704-1-8. DOI:10.1063/1.3456263.
[6] HIEMENZ P C, RAJAGOPALAN R. Principles of Colloid and Surface Chemistry[M]. New York:Marcel Dekker, 1997:206.
[7] WANG Y Y, CUI J, HAN Y Y, et al. Monte carlo simulation on self-assembly of AB diblock copolymers/nanoparticles complex confined in parallel walls[J].Chemical Journal of Chinese Universities, 2016, 37(5):1010-1017. DOI:10.7503/cjcu20150868.
[8] WU J Z, LI Z D. Density-functional theory for complex fluids[J].Annual Review of Physical Chemistry, 2007, 58(1):85-112. DOI:10.1146/annurev.physchem.58.032806.104650.
[9] POWLES J G, MURAD S, RAVI P V. A new model for permeable micropores[J].Chemical Physics Letters, 1992, 188(1-2):21-24. DOI:10.1016/0009-2614(92)85082-L.
[10] ZHOU Y Q, STELL G. The theory of semipermeable vesicles and membranes:An integral-equation approach. I. General formalism and application to a hard-sphere mixture[J].The Journal of Chemical Physics, 1988, 89(11):7010-7019. DOI:10.1063/1.455327.
[11] YOU F Q, YU Y X, GAO G H. Structures and adsorption of binary hard-core Yukawa mixtures in a slitlike pore:Grand canonical Monte Carlo simulation and density-functional study[J].The Journal of Chemical Physics, 2005, 123(11):114705-1-9. DOI:10.1063/1.2013247.
[12] ROSENFELD Y. Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing[J].Physical Review Letters, 1989, 63(9):980-983. DOI:10.1103/PhysRevLett.63.980.
[13] ROTH R, EVANS R, LANG A, et al. Fundamental measure theory for hard-sphere mixtures revisited:The White Bear version[J].2002, 14(46):12063-12078. DOI:10.1088/0953-8984/14/46/313.
[14] YU Y X, WU J Z. Structures of hard-sphere fluids from a modified fundamental-measure theory[J].The Journal of Chemical Physics, 2002, 117(22):10156-10164. DOI:10.1063/1.1520530.
[15] FU D, LI X S. Phase equilibria and plate-fluid interfacial tensions for associating hard sphere fluids confined in silt pores[J].The Journal of Chemical Physics, 2006, 125(8):084716-1-8. DOI:10.1063/1.2337577.
[16] BRYK P, CYRANKIEWICZ W, WKO M B, et al. A fluid in contact with a semipermeable membrane:density functional approach[J].Molecular Physics, 1998, 93(1):111-116. DOI:10.1080/002689798169492.
[17] YANG Z, YANG X N, XU Z J. Structure of hard-core Yukawa fluid mixtures near a semi-permeable membrane:A density functional study[J].Journal of Membrane Science, 2008, 320(1-2):381-389. DOI:10.1016/j.memsci.2008.04.021.
[18] BRYK P, SOKOLOWSKI S, PIZIO O. Lennard-Jones fluid mixtures in contact with semipermeable membranes. A density functional approach[J].Journal of Physical Chemistry B, 1999, 103(17):3366-3372. DOI:10.1021/jp982028r.
[19] LI Z D, WU J Z, WANG Z G. Osmotic pressure and packaging structure of caged DNA[J].Biophysical Journal, 2008, 94(3):737-746. DOI:10.1529/biophysj.107.112508.
[20] WANG H J, HONG X Z, GU F, et al. Statistical theory for hydrogen bonding fluid system of AaDd type(I):The geometrical phase transition[J].Science China-Chemistry, 2006, 49(6):499-506. DOI:10.1007/s11426-006-2034-5.
[21] GU F, WANG H J, LI J T. Statistical theory for a hydrogen bonding fluid system of AaDd type(IV):Depletion potential between colloid particles[J].Science China-Chemistry, 2012, 55(6):1160-1166. DOI:10.1007/s11426-012-4608-8.
[22] SEGURA C J, CHAPMAN W G, SHUKLA K P. Associating fluids with four bonding sites against a hard wall:Density functional theory[J].Molecular Physics, 1997, 90(5):759-771. DOI:10.1080/002689797172110.
[23] 赵萌. 介观尺度下氢键流体聚集态结构及渗透压研究[D]. 保定:河北大学,2017.