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Kinetics of Aggregation and Relaxation in Micellar Surfactant Solutions

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Abstract

Theoretical results published in the last 17 years on the kinetics of aggregation and relaxation in micellar surfactant solutions have been reviewed. The results obtained by the analytical and direct numerical solution of the Becker–Döring kinetic equations and the Smoluchowski generalized equations, which describe different possible mechanisms of aggregation and relaxation on all time scales from ultrafast relaxation while reaching the quasi-equilibrium in the region of subcritical molecular aggregates to the last stage of slow relaxation of micelles to the final aggregated state, have been considered in detail. The droplet model and the model linear with respect to aggregation numbers have been used for the work of aggregation to describe the dynamics of the rearrangement of micellar systems consisting of only spherical, only cylindrical, and coexisting spherical and cylindrical aggregates, with the dynamics being both linear and nonlinear with respect to deviations from equilibrium. The results of molecular simulation of the rearrangement kinetics of micellar systems subjected to initial disturbance have been reviewed.

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References

  1. Kahlweit, M. and Teubner, M., Adv. Colloid Interface Sci., 1980, vol. 13, p. 1.

    Article  CAS  Google Scholar 

  2. Nagarajan, R. and Ruckenstein, E., Langmuir, 1991, vol. 7, p. 2934.

    Article  CAS  Google Scholar 

  3. Nagarajan, R., Surfactant Sci. Ser., 1997, vol. 70, p. 1.

    CAS  Google Scholar 

  4. Nagarajan, R. and Ruckenstein, E., in Equations of State for Fluids and Fluid Mixtures, Sengers, J.V., Kayser, R.F., Peters, C.J., and White, H.J, Eds., Amsterdam: Elsevier, 2000, vol. 5, p. 589.

    Article  CAS  Google Scholar 

  5. Shchekin, A.K., Kuni, F.M., Grinin, A.P., and Rusanov, A.I., in Nucleation Theory and Application, Schmelzer, J.W.P., Ed., New York: Wiley, 2005, p. 312.

  6. Kuni, F.M., Rusanov, A.I., Shchekin, A.K., and Grinin, A.P., Russ. J. Phys. Chem., 2005, vol. 79, p. 833.

    CAS  Google Scholar 

  7. Diamant, H. and Andelman, D., Curr. Opin. Colloid Interface Sci., 2016, vol. 22, p. 94.

    Article  CAS  Google Scholar 

  8. Tanford, C., The Hydrophobic Effect: Formation of Micelles and Biological Membranes, Brisbane: Wiley, 1980.

    Google Scholar 

  9. Micellization, Solubilization, and Microemulsions, Mittal, K.L., Ed., New York: Plenum, 1977.

  10. Zana, R., Surfactant Sci. Ser., 2005, vol. 125, p. 75.

    Article  CAS  Google Scholar 

  11. Surfactants and Interfacial Phenomena, Rosen, M.J. and Kunjappu, J.T., Eds., Hoboken: Wiley, 2012.

  12. Rusanov, A.I. and Shchekin, A.K., Mitselloobrazovanie v rastvorakh poverkhnostno-aktivnykh veshchestv (Micellization in Surfactant Solutions), St. Petersburg: Lan’, 2016.

    Google Scholar 

  13. Aniansson, E.A.G. and Wall, S.N., J. Phys. Chem., 1974, vol. 78, p. 1024.

    Article  CAS  Google Scholar 

  14. Aniansson, E.A.G. and Wall, S.N., J. Phys. Chem., 1975, vol. 79, p. 857.

    Article  CAS  Google Scholar 

  15. Wall, S.N. and Aniansson, E.A.G., J. Phys. Chem., 1980, vol. 84, p. 727.

    Article  CAS  Google Scholar 

  16. Aniansson, E.A.G., Wall, S.N., Almgren, M., Hoffmann, H., Kielmann, I., Ulbricht, W., Zana, R., Lang, J., and Tondre, C., J. Phys. Chem., 1976, vol. 80, p. 905.

    Article  CAS  Google Scholar 

  17. Almgren, M., Aniansson, E.A.G., and Holmaker, K., Chem. Phys., 1977, vol. 19, p. 1.

    Article  CAS  Google Scholar 

  18. Kahlweit, M., Pure Appl. Chem., 1981, vol. 53, p. 2069.

    Article  CAS  Google Scholar 

  19. Becker, R. and Döring, W., Ann. Phys. (New York), 1935, vol. 24, p. 719.

    Article  CAS  Google Scholar 

  20. Ball, J.M. and Carr, J., J. Stat. Phys., 1990, vol. 61, p. 203.

    Article  Google Scholar 

  21. Rusanov, A.I., Kuni, F.M., and Shchekin, A.K., Colloid J., 2000, vol. 62, p. 167.

    CAS  Google Scholar 

  22. Kuni, F.M., Shchekin, A.K., Grinin, A.P., and Rusanov, A.I., Colloid J., 2000, vol. 62, p. 172.

    CAS  Google Scholar 

  23. Kuni, F.M., Grinin, A.P., Shchekin, A.K., and Rusanov, A.I., Colloid J., 2000, vol. 62, p. 451.

    CAS  Google Scholar 

  24. Kuni, F.M., Grinin, A.P., Shchekin, A.K., and Rusanov, A.I., Colloid J., 2001, vol. 63, p. 197.

    Article  CAS  Google Scholar 

  25. Kuni, F.M., Rusanov, A.I., Grinin, A.P., and Shchekin, A.K., Colloid J., 2001, vol. 63, p. 723.

    Article  CAS  Google Scholar 

  26. Grinin, A.P. and Greben’kov, D.S., Colloid J., 2003, vol. 65, p. 552.

    Article  CAS  Google Scholar 

  27. Mohan, G. and Kopelevich, D.I., J. Chem. Phys., 2008, vol. 128, p. 044905.

    Article  Google Scholar 

  28. Hadgiivanova, R. and Diamant, H., J. Chem. Phys., 2009, vol. 130, p. 114901.

    Article  Google Scholar 

  29. Hadgiivanova, R., Diamant, H., and Andelman, D., J. Phys. Chem. B, 2011, vol. 115, p. 7268.

    Article  CAS  Google Scholar 

  30. Starov, V., Zhdanov, V., and Kovalchuk, N.M., Colloids Surf. A, 2010, vol. 354, p. 268.

    Article  CAS  Google Scholar 

  31. Shchekin, A.K., Kuni, F.M., and Shakhnov, K.S., Colloid J., 2008, vol. 70, p. 244.

    Article  CAS  Google Scholar 

  32. Danov, K.D., Kralchevsky, P.A., Denkov, N.D., and Ananthapadmanabhan, K.P., Adv. Colloid Interface Sci., 2006, vol. 119, p. 1.

    Article  CAS  Google Scholar 

  33. Kshevetskiy, M.S. and Shchekin, A.K., J. Chem. Phys., 2009, vol. 131, p. 074114.

    Article  CAS  Google Scholar 

  34. Kuni, F.M., Shchekin, A.K., Rusanov, A.I., and Grinin, A.P., Colloid J., 2004, vol. 66, p. 174.

    Article  CAS  Google Scholar 

  35. Shchekin, A.K., Kuni, F.M., Grinin, A.P., and Rusanov, A.I., Colloid J., 2006, vol. 68, p. 248.

    Article  CAS  Google Scholar 

  36. Kuni, F.M., Shchekin, A.K., Rusanov, A.I., and Grinin, A.P., Colloid J., 2005, vol. 67, p. 32.

    Article  CAS  Google Scholar 

  37. Kuni, F.M., Shchekin, A.K., Rusanov, A.I., and Grinin, A.P., Colloid J., 2005, vol. 67, p. 41.

    Article  CAS  Google Scholar 

  38. Kuni, F.M., Shchekin, A.K., Rusanov, A.I., and Grinin, A.P., Langmuir, 2006, vol. 22, p. 1534.

    Article  CAS  Google Scholar 

  39. Kuni, F.M., Shchekin, A.K., Rusanov, A.I., and Grinin, A.P., Colloid J., 2007, vol. 69, p. 319.

    Article  CAS  Google Scholar 

  40. Kuni, F.M., Shchekin, A.K., Rusanov, A.I., and Grinin, A.P., Colloid J., 2005, vol. 67, p. 146.

    Article  CAS  Google Scholar 

  41. Shchekin, A.K., Kuni, F.M., Grinin, A.P., and Rusanov, A.I., Russ. J. Phys. Chem., 2008, vol. 82, p. 101.

    Article  CAS  Google Scholar 

  42. Kshevetskii, M.S., Shchekin, A.K., and Kuni, F.M., Colloid J., 2008, vol. 70, p. 455.

    Article  CAS  Google Scholar 

  43. Bergström, L.M., Curr. Opin. Colloid Interface Sci., 2016, vol. 22, p. 46.

    Article  Google Scholar 

  44. Shchekin, A.K., Rusanov, A.I., and Kuni, F.M., Chem. Lett., 2012, vol. 41, p. 1081.

    Article  CAS  Google Scholar 

  45. Babintsev, I.A., Adzhemyan, L.Ts., and Shchekin, A.K., J. Chem. Phys., 2012, vol. 137, p. 044902.

    Article  Google Scholar 

  46. Babintsev, I.A., Adzhemyan, L.T., and Shchekin, A.K., Soft Matter, 2014, vol. 10, p. 2619.

    Article  CAS  Google Scholar 

  47. Babintsev, I.A., Adzhemyan, L.Ts., and Shchekin, A.K., J. Chem. Phys., 2014, vol. 141, p. 064901.

    Article  Google Scholar 

  48. Shchekin, A.K., Babintsev, I.A., Adzhemyan, L.Ts., and Volkov, N.A., RSC Adv., 2014, vol. 4, p. 51722.

    Article  CAS  Google Scholar 

  49. Waton, G., J. Phys. Chem. B, 1997, vol. 101, p. 9727.

    Article  CAS  Google Scholar 

  50. Shchekin, A.K., Kshevetskii, M.S., and Pelevina, O.S., Colloid J., 2011, vol. 73, p. 406.

    Article  CAS  Google Scholar 

  51. Griffiths, I.M., Breward, C.J.W., Colegate, D.M., Dellar, P.J., Howell, P.D., and Bain, C.D., Soft Matter, 2013, vol. 9, p. 853.

    Article  CAS  Google Scholar 

  52. Zakharov, A.I., Adzhemyan, L.Ts., and Shchekin, A.K., J. Chem. Phys., 2015, vol. 143, p. 124902.

    Article  Google Scholar 

  53. Shchekin, A.K., Babintsev, I.A., and Adzhemyan, L.Ts., J. Chem. Phys., 2016, vol. 145, p. 174105.

    Article  Google Scholar 

  54. Mavelli, F. and Maestro, M., J. Chem. Phys., 1999, vol. 111, p. 4310.

    Article  CAS  Google Scholar 

  55. Marrink, S.-J., Tieleman, D.P., and Mark, A.E., J. Phys. Chem. B, 2000, vol. 104, p. 12165.

    Article  CAS  Google Scholar 

  56. Shelley, J.C. and Shelley, M.Y., Curr. Opin. Colloid Interface Sci., 2000, vol. 5, p. 101.

    Article  CAS  Google Scholar 

  57. Brodskaya, E.N., Colloid J., 2012, vol. 74, p. 154.

    Article  CAS  Google Scholar 

  58. Gillespie, D.T., J. Phys. Chem., 1977, vol. 81, p. 2340.

    Article  CAS  Google Scholar 

  59. Rusanov, A.I., Shchekin, A.K., and Volkov, N.V., Usp. Khim., 2017, vol. 86, p. 567.

    Article  CAS  Google Scholar 

  60. Friedlander, S.K., Smoke, Dust, and Hase. Fundamentals of Aerosol Dynamics, Oxford: Oxford Univ. Press, 2000, p. 190.

    Google Scholar 

  61. Dubovskii, P.B. and Stewart, I.W., Math. Methods Appl. Sci., 1996, vol. 19, p. 571.

    Article  Google Scholar 

  62. Wattis, J.A.D., Phys. D (Amsterdam), 2006, vol. 222, p. 1.

    Article  Google Scholar 

  63. Piskunov, V.N., Dinamika aerozolei (Aerosol Dynamics), Moscow: Fizmatlit, 2010.

    Google Scholar 

  64. Adzhemyan, L.Ts., Shchekin, A.K., and Babintsev, I.A., Colloid J., 2017, vol. 79, p. 295.

    Article  CAS  Google Scholar 

  65. von Smoluchowski, M., Z. Phys. Chem., 1917, vol. 92, p. 129.

    Google Scholar 

  66. Pool, R. and Bolhuis, P.G., Phys. Rev. Lett., 2006, vol. 97, p. 018302.

    Article  Google Scholar 

  67. Pool, R. and Bolhuis, P.G., J. Chem. Phys., 2007, vol. 126, p. 244703.

    Article  Google Scholar 

  68. Babintsev, I.A., Adzhemyan, L.Ts., and Shchekin, A.K., Phys. A (Amsterdam), 2017, vol. 479, p. 551.

    Article  CAS  Google Scholar 

  69. Rusanov, A.I., Grinin, A.P., Kuni, F.M., and Shchekin, A.K., Russ. J. Gen Chem., 2002, vol. 72, p. 607.

    Article  CAS  Google Scholar 

  70. Rusanov, A.I., Kuni, F.M., Grinin, A.P., and Shchekin, A.K., Colloid J., 2002, vol. 64, p. 605.

    Article  CAS  Google Scholar 

  71. Sammalkorpi, M., Karttunen, M., and Haataja, M., J. Am. Chem. Soc., 2008, vol. 130, p. 17977.

    Article  CAS  Google Scholar 

  72. Gao, J., Li, S., Zhang, X., and Wang, W., Phys. Chem. Chem. Phys., 2010, vol. 12, p. 3219.

    Article  CAS  Google Scholar 

  73. Poghosyan, A.H., Arsenyan, L.H., and Shahinyan, A.A., Colloid Polym. Sci., 2014, vol. 292, p. 3147.

    Article  CAS  Google Scholar 

  74. Poghosyan, A.H., Arsenyan, L.H., and Shahinyan, A.A., J. Surfact. Deterg., 2015, vol. 18, p. 755.

    Article  CAS  Google Scholar 

  75. Rharbi, Y., Karrouch, M., and Richardson, P., Langmuir, 2014, vol. 30, p. 7947.

    Article  CAS  Google Scholar 

  76. Volkov, N.A., Divinskiy, B.B., Vorontsov-Velyaminov, P.N., and Shchekin, A.K., Colloids Surf. A, 2015, vol. 480, p. 165.

    Article  CAS  Google Scholar 

  77. Volkov, N.A., Tuzov, N.V., and Shchekin, A.K., Fluid Phase Equilibr., 2016, vol. 424, p. 114.

    Article  CAS  Google Scholar 

  78. Volkov, N.A., Shchekin, A.K., Tuzov, N.V., Lebedeva, T.S., and Kazantseva, M.A., J. Mol. Liq., 2017, vol. 236, p. 414.

    Article  CAS  Google Scholar 

  79. Volkov, N.A., Tuzov, N.V., and Shchekin, A.K., Colloid J., 2017, vol. 79, p. 181.

    Article  CAS  Google Scholar 

  80. Chun, B.J., Choi, J.I., and Jang, S.S., Colloids Surf. A, 2015, vol. 474, p. 36.

    Article  CAS  Google Scholar 

  81. Aoun, B., Sharma, V.K., Pellegrini, E., Mitra, S., Johnson, M., and Mukhopadhyay, R., J. Phys. Chem. B, 2015, vol. 119, p. 5079.

    Article  CAS  Google Scholar 

  82. Yuan, F., Wang, S., and Larson, R.G., Langmuir, 2015, vol. 31, p. 1336.

    Article  CAS  Google Scholar 

  83. Jusufi, A., Hynninen, A.-P., and Panagiotopoulos, A.Z., J. Phys. Chem. B, 2008, vol. 112, p. 13783.

    Article  CAS  Google Scholar 

  84. Jusufi, A., Mol. Phys., 2013, vol. 111, p. 3182.

    Article  CAS  Google Scholar 

  85. Panagiotopoulos, A.Z., Langmuir, 2015, vol. 31, p. 3283.

    Article  Google Scholar 

  86. Brocos, P., Mendoza-Espinosa, P., Castillo, R., Mas-Oliva, J., and Pineiro, A., Soft Matter, 2012, vol. 8, p. 9005.

    Article  CAS  Google Scholar 

  87. Burov, S.V., Vanin, A.A., and Brodskaya, E.N., J. Phys. Chem. B, 2009, vol. 113, p. 10715.

    Article  CAS  Google Scholar 

  88. Burov, S.V. and Shchekin, A.K., J. Chem. Phys., 2011, vol. 133, p. 244109.

    Article  Google Scholar 

  89. Arai, N., Yasuoka, K., and Masubuchi, Y., J. Chem. Phys., 2007, vol. 126, p. 244905.

    Article  Google Scholar 

  90. Verde, A.V. and Frenkel, D., Soft Matter, 2016, vol. 12, p. 5172.

    Article  Google Scholar 

  91. Li, Z. and Dormidontova, E.E., Macromolecules, 2010, vol. 43, p. 3521.

    Article  CAS  Google Scholar 

  92. Heinzelmann, G., Seide, P., Jr., and Figueiredo, W., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 2015, vol. 92, p. 052305.

    Article  CAS  Google Scholar 

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Original Russian Text © A.K. Shchekin, L.Ts. Adzhemyan, I.A. Babintsev, N.A. Volkov, 2018, published in Kolloidnyi Zhurnal, 2018, Vol. 80, No. 2, pp. 115–149.

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Shchekin, A.K., Adzhemyan, L.T., Babintsev, I.A. et al. Kinetics of Aggregation and Relaxation in Micellar Surfactant Solutions. Colloid J 80, 107–140 (2018). https://doi.org/10.1134/S1061933X18020084

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