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Depletion Interaction

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Colloids and the Depletion Interaction

Part of the book series: Lecture Notes in Physics ((LNP,volume 833))

Abstract

In this chapter we consider the depletion interaction between two flat plates and between two spherical colloidal particles for different depletants (polymers, small colloidal spheres, rods and plates). First of all we focus on the depletion interaction due to a somewhat hypothetical model depletant, the penetrable hard sphere (phs), to mimic a (ideal) polymer molecule.

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References

  1. S. Asakura, F. Oosawa, J. Chem. Phys. 22, 1255 (1954)

    ADS  Google Scholar 

  2. A. Vrij, Pure Appl. Chem. 48, 471 (1976)

    Article  Google Scholar 

  3. B. Widom, J.S. Rowlinson, J. Chem. Phys. 52, 1670 (1970)

    Article  ADS  Google Scholar 

  4. L. Onsager, Chem. Rev. 13, 73 (1933)

    Article  Google Scholar 

  5. L. Onsager, Ann. NY. Acad. Sci. 51, 627 (1949)

    Article  ADS  Google Scholar 

  6. D.G. Hall, J. Chem. Soc. Faraday. Trans. 68(1), 2169 (1972)

    Google Scholar 

  7. S.G. Ash, D.H. Everett, C. Radke, J. Chem. Soc. Faraday. Trans. 69(1), 1256 (1973)

    Google Scholar 

  8. R. Evans, U.M.B. Marconi, J. Chem. Phys. 86, 7138 (1987)

    Article  ADS  Google Scholar 

  9. T. Odijk, J. Chem. Phys. 106, 3402 (1997)

    Article  ADS  Google Scholar 

  10. B.V. Derjaguin, Kolloidn. Zh. 69, 155 (1934)

    Article  Google Scholar 

  11. P.J. Flory, Principles of Polymer Chemistry (Cornell University Press, New York, 1953)

    Google Scholar 

  12. H. Yamakawa, Modern Theory of Polymer Solutions (Harper and Row, New York, 1971)

    Google Scholar 

  13. P.G. De Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979)

    Google Scholar 

  14. M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986)

    Google Scholar 

  15. J. des Cloizeaux, G. Jannink, Polymers in Solution (Oxford University Press, Oxford, 1990)

    Google Scholar 

  16. H. Fujita, Polymer Solutions (Elsevier, New York, 1990)

    Google Scholar 

  17. A.Y. Grosberg, A.R. Khoklov, Statistical Physics of Macromolecules (AIP, New York, 1994)

    Google Scholar 

  18. M. Doi, Introduction to Polymer Physics (Oxford University Press, Oxford, 1995)

    Google Scholar 

  19. L. Schäfer, Excluded Volume Effects in Polymer Solutions (Springer-Verlag, Heidelberg, 1999)

    Google Scholar 

  20. S.F. Edwards, Proc Phys Soc 85, 613 (1965)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  21. S.F. Edwards, K.F. Freed, J. Phys. A. 2, 145 (1969)

    Article  ADS  Google Scholar 

  22. E.F. Casassa, J. Polym. Sci. 5, 773 (1967)

    Article  Google Scholar 

  23. E.F. Casassa, Y. Tagami, Macromolecules 2, 14 (1969)

    Article  ADS  Google Scholar 

  24. P. Richmond, M. Lal, Chem. Phys. Lett. 24, 594 (1974)

    Article  ADS  Google Scholar 

  25. R. Tuinier, G.J. Fleer, Macromolecules 37, 8764 (2004)

    Article  ADS  Google Scholar 

  26. A. Einstein, Ann. Phys. (IV Folge) 22, 569 (1907)

    Article  ADS  Google Scholar 

  27. A. Einstein, Ann Phys (IV Folge) 33, 1275 (1910)

    Article  ADS  Google Scholar 

  28. R. Tuinier, G.A. Vliegenthart, H.N.W. Lekkerkerker, J. Chem. Phys. 113, 10768 (2000)

    Article  ADS  Google Scholar 

  29. E. Eisenriegler, Phys. Rev. E. 55, 3116 (1997)

    Article  ADS  Google Scholar 

  30. E. Eisenriegler, J. Chem. Phys. 79, 1052 (1983)

    Article  ADS  Google Scholar 

  31. C.M. Marques, J.F. Joanny, Macromolecules 23, 268 (1990)

    Article  ADS  Google Scholar 

  32. G.J. Fleer, A.M. Skvortsov, R. Tuinier, Macromolecules 36, 7857 (2003)

    Article  ADS  Google Scholar 

  33. T. Taniguchi, T. Kawakatsu, K. Kawasaki, in:’Slow dynamics in condensed matter’. ed. by K. Kawasaki. AIP series, 256, 503 (1992)

    Google Scholar 

  34. E. Eisenriegler, A. Hanke, S. Dietrich, Phys. Rev. E. 54, 1134 (1996)

    Article  ADS  Google Scholar 

  35. T. Odijk, Macromolecules 29, 1842 (1996)

    Article  ADS  Google Scholar 

  36. A.A. Louis, P.G. Bolhuis, E.J. Meijer, J.-P. Hansen, J. Chem. Phys. 116, 10547 (2002)

    Article  ADS  Google Scholar 

  37. D.G.A.L. Aarts, R. Tuinier, H.N.W. Lekkerkerker, J. Phys. Condens Matter 14, 7551 (2002)

    Article  ADS  Google Scholar 

  38. R. Tuinier, Eur. Phys. J. E. 10, 123 (2003)

    Article  Google Scholar 

  39. A.A. Louis, P.G. Bolhuis, E.J. Meijer, J.-P. Hansen, J. Chem. Phys. 117, 1893 (2002)

    Article  ADS  Google Scholar 

  40. R. Tuinier, D.G.A.L. Aarts, H.H. Wensink, H.N.W. Lekkerkerker, Phys. Chem. Chem. Phys. 5, 3707 (2003)

    Article  Google Scholar 

  41. R. Tuinier, G.J. Fleer, Macromolecules 37, 8754 (2004)

    Article  ADS  Google Scholar 

  42. T.L. Hill, An Introduction to Statistical Thermodynamics (Addison-Wesley, New York, 1962)

    Google Scholar 

  43. B. Widom, Statistical Mechanics: A Concise Introduction for Chemists (Cambridge University Press, Cambridge, 2002)

    Google Scholar 

  44. I.Z. Fisher, Statistical Theory of Liquids (The University of Chicago Press, Chicago, 1964)

    Google Scholar 

  45. E.D. Glandt, J. Colloid Interface Sci. 77, 512 (1980)

    Article  Google Scholar 

  46. V.Y. Antonchenko, V.V. Ilyin, N.N. Makovsky, A.N. Pavlov, V.P. Sokhan, Mol. Phys. 52, 345 (1984)

    Article  ADS  Google Scholar 

  47. Y. Mao, M.E. Cates, H.N.W. Lekkerkerker, Physica A. 222, 10 (1995)

    Article  ADS  Google Scholar 

  48. J.Y. Walz, A. Sharma, J. Colloid Interface Sci. 168, 485 (1994)

    Article  Google Scholar 

  49. J.R. Henderson, Mol. Phys. 59, 89 (1986)

    Article  ADS  Google Scholar 

  50. R. Holyst, Mol. Phys. 68, 391 (1989)

    Article  ADS  Google Scholar 

  51. A.A. Louis, P.G. Bolhuis, J.P. Hansen, E.J. Meijer, Phys. Rev. Lett. 85, 2522 (2000)

    Article  ADS  Google Scholar 

  52. G.J. Fleer, M.A. Cohen Stuart, J.M.H.M. Scheutjens, T. Cosgrove, B. Vincent, Polymers at Interfaces (Chapman and Hall, New York, 1993)

    Google Scholar 

  53. J. van der Gucht, N.A.M. Besseling, van J. Male, M.A. Cohen Stuart, J. Chem. Phys. 112, 2886 (2000)

    Article  Google Scholar 

  54. T. Biben, P. Bladon, D. Frenkel, J. Phys. Condens Matter. 8, 10799 (1996)

    Article  ADS  Google Scholar 

  55. S. Asakura, F. Oosawa, J. Pol. Sci. 33, 183 (1958)

    Article  ADS  Google Scholar 

  56. R. Fåhraeus, Physiol Rev. 9, 241 (1929)

    Google Scholar 

  57. L. Auvray, J. Phys. (Paris) 42, 79 (1981)

    Google Scholar 

  58. Y. Mao, M.E. Cates, H.N.W. Lekkerkerker, Phys. Rev. Lett. 75, 4548 (1995)

    Article  ADS  Google Scholar 

  59. Y. Mao, M.E. Cates, H.N.W. Lekkerkerker, J. Chem. Phys. 106, 3721 (1997)

    Article  ADS  Google Scholar 

  60. Y. Mao, P. Bladon, H.N.W. Lekkerkerker, M.E. Cates, Mol. Phys. 92, 151 (1997)

    ADS  Google Scholar 

  61. M. Piech, J.Y. Walz, J. Colloid Interface Sci. 232, 86 (2000)

    Article  Google Scholar 

  62. S.M. Oversteegen, H.N.W. Lekkerkerker, Physica A. 341, 23 (2004)

    Article  ADS  Google Scholar 

  63. J.R. Henderson, Physica A. 313, 321 (2002)

    Article  ADS  MATH  Google Scholar 

  64. D. Kleshchanok, R. Tuinier, P.R. Lang, J. Phys. Condens Matt. 20, 073101 (2008)

    Article  ADS  Google Scholar 

  65. J.N. Israelachvili, Intermolecular and Surface Forces (Academic, London, 1991)

    Google Scholar 

  66. D.G. Grier, Opin. Colloid Interface Sci. 2, 264 (1997)

    Article  Google Scholar 

  67. E.M. Furst, Soft Mater 1, 167 (2003)

    Article  Google Scholar 

  68. H.J. Butt, B. Cappella, M. Kappl, Surf. Sci. Rep. 59, 1 (2005)

    Article  ADS  Google Scholar 

  69. J.Y. Walz, Curr. Opin. Colloid Interface Sci. 2, 600 (1997)

    Article  Google Scholar 

  70. D.C. Prieve, Adv. Colloid Interface Sci. 82, 93 (1999)

    Article  Google Scholar 

  71. D. Tabor, R.H.S. Winterton, Nature 219, 1120 (1968)

    Article  ADS  Google Scholar 

  72. J.N. Israelachvili, G.E. Adams, Nature 262, 774 (1976)

    Article  ADS  Google Scholar 

  73. J.N. Israelachvili, G.E. Adams, J. Chem. Soc. Faraday Trans. 74, 975 (1978)

    Article  Google Scholar 

  74. D. Goulding, J.P. Hansen, Mol. Phys. 99, 865 (2001)

    Article  ADS  Google Scholar 

  75. R. Tuinier, A.V. Pethukhov, Macromol. Theory Simul. 11, 975 (2002)

    Article  Google Scholar 

  76. Y. Mao, J. Physique. 5, 1761 (1995)

    Article  Google Scholar 

  77. P.R. Lang, J. Chem. Phys. 127, 124906 (2007)

    Article  ADS  Google Scholar 

  78. J. Ralston, I. Larson, M.W. Rutland, A.A. Feiler, M. Kleijn, Pure Appl. Chem. 77, 2149 (2005)

    Article  Google Scholar 

  79. W.A. Ducker, T.J. Senden, R.M. Pashley, Nature 353, 239 (1991)

    Article  ADS  Google Scholar 

  80. M. Piech, J.Y. Walz, J. Phys. Chem. B. 108, 9177 (2004)

    Article  Google Scholar 

  81. D.C. Prieve, J.Y. Walz, Appl. Opt. 32, 1629 (1993)

    Article  ADS  Google Scholar 

  82. L. Helden, G.H. Koenderink, P. Leiderer, C. Bechinger, Langmuir 20, 5662 (2004)

    Article  Google Scholar 

  83. A. Askin, Phys. Rev. Lett. 24, 156 (1970)

    Article  ADS  Google Scholar 

  84. K. Svoboda, S.M. Block, Annu. Rev. Biophys. Biomol. Struct. 23, 247 (1994)

    Article  Google Scholar 

  85. C.F. Schmidt, A practical guide to optical tweezers in: Soft Condensed Matter Physics in Molecular and Cell Biology (Taylor and Francis, New York, 2006)

    Google Scholar 

  86. J.C. Crocker, D.G. Grier, J. Colloid Interface Sci. 179, 298 (1996)

    Article  Google Scholar 

  87. Y.L. Han, D.G. Grier, Phys. Rev. Lett. 91, 038302 (2003)

    Article  ADS  Google Scholar 

  88. J. Baumgärtl, C. Bechinger, Europhys. Lett. 71, 487 (2005)

    Article  ADS  Google Scholar 

  89. R. Verma, J.C. Crocker, T.C. Lubensky, A.G. Yodh, Macromolecules 33, 177 (2000)

    Article  ADS  Google Scholar 

  90. D.A. McQuarrie, Statistical Mechanics (University Science Books, Sausalito, CA, USA, 2000)

    MATH  Google Scholar 

  91. C.P. Royall, A.A. Louis, H. Tanaka, J. Chem. Phys. 127, 044507 (2007)

    Article  ADS  Google Scholar 

  92. J.G. Kirkwood, J. Chem. Phys. 7, 919 (1939)

    Article  ADS  Google Scholar 

  93. H. De Hek, A. Vrij, J. Colloid Interface Sci. 88, 258 (1982)

    Article  Google Scholar 

  94. X. Ye, T. Narayanan, P. Tong, J.S. Huang, M.Y. Lin, B.L. Carvalho, L.J. Fetters, Phys. Rev. E. 54, 6500 (1996)

    Article  ADS  Google Scholar 

  95. A. Vrij, J. Chem. Phys. 112, 9489 (2000)

    Article  ADS  Google Scholar 

  96. A. Vrij, Colloids Surf. A. 213, 117 (2003)

    Article  Google Scholar 

  97. I. Bodnár, J.K.G. Dhont, H.N.W. Lekkerkerker, J. Phys. Chem. 100, 19614 (1994)

    Article  Google Scholar 

  98. R. Tuinier, J.K.G. Dhont, de C.G. Kruif, Langmuir 16, 1497 (2000)

    Article  Google Scholar 

  99. K.J. Mutch, van J.S. Duijneveldt, J. Eastoe, I. Grillo, R.K. Heenan, Langmuir 26, 1630 (2010)

    Article  Google Scholar 

  100. M. Fuchs, K.S. Schweizer, Phys. Rev. E. 64, 021514 (2001)

    Article  ADS  Google Scholar 

  101. M. Fuchs, K.S. Schweizer, J. Phys. Condens Matter. 14, R239 (2002)

    Article  ADS  Google Scholar 

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Correspondence to Henk N. W. Lekkerkerker .

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Lekkerkerker, H.N.W., Tuinier, R. (2011). Depletion Interaction. In: Colloids and the Depletion Interaction. Lecture Notes in Physics, vol 833. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1223-2_2

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