Electrostatic interactions in strongly coupled soft matter

Physica A: Statistical Mechanics and its Applications

Volumn 352, Issue 1, 2005, Pages 131-170

  Naji, Ali ^a,b   Jungblut, Swetlana ^b   Moreira, André G ^c   Netz, Roland R ^a,b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

^c BASF SE   (Germany)

Author keywords

Charged membranes; Colloids and polymers; Counterion condensation; Electrostatic correlations

Indexed keywords

COLLOIDS; CONDENSATION; DNA; PHYSIOLOGY; POLYMERS; VAN DER WAALS FORCES;

CHARGED MEMBRANES; COLLOIDS AND POLYMERS; COUNTERION CONDENSATION; ELECTROSTATIC CORRELATIONS;

ELECTROSTATICS;

EID: 17844397704     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2004.12.029     Document Type: Article

References (122)

1. E.J. Verwey, and J.T.G. Overbeek Theory of the Stability of Lyophobic Colloids 1948 Elsevier Amsterdam
2. J. Israelachvili Intermolecular and Surface Forces 1991 Academic Press London
3. R.J. Hunter Foundations of Colloidal Science 1987 Clarendon Oxford
4. D.H. Napper Polymeric Stabilization of Colloidal Dispersions 1983 Academic Press London
5. H. Dautzenberg, W. Jaeger, B.P.J. Kötz, C. Seidel, and D. Stscherbina Polyelectrolytes Formation, Characterization and Application 1994 Hanser Publishers New York
6. T.D. Yager, C.T. McMurray, and K.E. van Holde Biochemistry 23 1989 2271
7. A. Khan, B. Jönsson, and H. Wennerström J. Phys. Chem. 89 1985 5180
8. H. Wennerström, A. Khan, and B. Lindman Adv. Colloid Interface Sci. 34 1991 433
9. R. Kjellander, S. Marčelja, and J.P. Quirk J. Colloid Interface Sci. 126 1988 194
10. V.A. Bloomfield Biopolymers 31 1991 1471; V.A. Bloomfield Curr. Opin. Struct. Biol. 6 1996 334
11. V.A. Bloomfield Biopolymers 31 1991 1471; V.A. Bloomfield Curr. Opin. Struct. Biol. 6 1996 334
12. P. Kékicheff, S. Marčelja, T.J. Senden, and V.E. Shubin J. Chem. Phys. 99 1993 6098
13. M. Delsanti, J.P. Dalbiez, O. Spalla, L. Belloni, and M. Drifford ACS Symp. Ser. 548 1994 381
14. P. Gonzalez-Monzuelos, and M. Olvera de la Cruz J. Chem. Phys. 103 1995 3145; M. Olvera de la Cruz, L. Belloni, M. Delsanti, J.P. Dalbiez, O. Spalla, and M. Drifford J. Chem. Phys. 103 1995 5781
15. P. Gonzalez-Monzuelos, and M. Olvera de la Cruz J. Chem. Phys. 103 1995 3145; M. Olvera de la Cruz, L. Belloni, M. Delsanti, J.P. Dalbiez, O. Spalla, and M. Drifford J. Chem. Phys. 103 1995 5781
16. M. Dubois, T. Zemb, N. Fuller, R.P. Rand, and V.A. Parsegian J. Chem. Phys. 108 1998 7855
17. H.H. Strey, R. Podgornik, D.C. Rau, and V.A. Parsegian Curr. Opin. Struct. Biol. 8 1998 309
18. J.X. Tang, S. Wong, P. Tran, and P.A. Janmey Ber. Bunsen-Ges. Phys. Chem. 100 1996 1; J.X. Tang, T. Ito, T. Tao, P. Traub, and P.A. Janmey Biochemistry 36 1997 12600
19. J.X. Tang, S. Wong, P. Tran, and P.A. Janmey Ber. Bunsen-Ges. Phys. Chem. 100 1996 1; J.X. Tang, T. Ito, T. Tao, P. Traub, and P.A. Janmey Biochemistry 36 1997 12600
20. G.C.L. Wong, A. Lin, J.X. Tang, Y. Li, P.A. Janmey, and C.R. Safinya Phys. Rev. Lett. 91 2003 018103; J.C. Butler, T. Angelini, J.X. Tang, and G.C.L. Wong Phys. Rev. Lett. 91 2003 028301
21. G.C.L. Wong, A. Lin, J.X. Tang, Y. Li, P.A. Janmey, and C.R. Safinya Phys. Rev. Lett. 91 2003 018103; J.C. Butler, T. Angelini, J.X. Tang, and G.C.L. Wong Phys. Rev. Lett. 91 2003 028301
22. T.E. Angelini, H. Liang, W. Wriggers, and G.C.L. Wong Proc. Natl. Acad. Sci. USA 100 2003 8634
23. L. Guldbrand, B. Jönsson, H. Wennerström, and P. Linse J. Chem. Phys. 80 1984 2221
24. B. Svensson, and B. Jönsson Chem. Phys. Lett. 108 1984 580
25. D. Bratko, B. Jönsson, and H. Wennerström Chem. Phys. Lett. 128 1986 449
26. L. Guldbrand, L.G. Nilsson, and L. Nordenskiöld J. Chem. Phys. 85 1986 6686; L.G. Nilsson, L. Guldbrand, and L. Nordenskiöld Mol. Phys. 72 1991 177
27. L. Guldbrand, L.G. Nilsson, and L. Nordenskiöld J. Chem. Phys. 85 1986 6686; L.G. Nilsson, L. Guldbrand, and L. Nordenskiöld Mol. Phys. 72 1991 177
28. C.E. Woodward, B. Jönsson, and T. Åkesson J. Chem. Phys. 89 1988 5145
29. J.P. Valleau, R. Ivkov, and G.M. Torrie J. Chem. Phys. 95 1991 520
30. R. Kjellander, T. Åkesson, B. Jönsson, and S. Marčelja J. Chem. Phys. 97 1992 1424
31. A.P. Lyubartsev, and L. Nordenskiöld J. Phys. Chem. 99 1995 10373
32. N. Grønbech-Jensen, R.J. Mashl, R.F. Bruinsma, and W.M. Gelbart Phys. Rev. Lett. 78 1997 2477
33. N. Grønbech-Jensen, K.M. Beardmore, and P. Pincus Physica A 261 1998 74
34. J. Wu, D. Bratko, and J.M. Prausnitz Proc. Natl. Acad. Sci. USA 95 1998 15169; J. Wu, D. Bratko, H.W. Blanch, and J.M. Prausnitz J. Chem. Phys. 111 1999 7084
35. J. Wu, D. Bratko, and J.M. Prausnitz Proc. Natl. Acad. Sci. USA 95 1998 15169; J. Wu, D. Bratko, H.W. Blanch, and J.M. Prausnitz J. Chem. Phys. 111 1999 7084
36. E. Allahyarov, I. D'Amico, and H. Löwen Phys. Rev. Lett. 81 1998 1334
37. M.J. Stevens Phys. Rev. Lett. 82 1999 101
38. P. Linse, and V. Lobaskin Phys. Rev. Lett. 83 1999 4208
39. P. Linse, and V. Lobaskin J. Chem. Phys. 112 2000 3917; P. Linse J. Chem. Phys. 113 2000 4359
40. P. Linse, and V. Lobaskin J. Chem. Phys. 112 2000 3917; P. Linse J. Chem. Phys. 113 2000 4359
41. B. Hribar, and V. Vlachy Biophys. J. 78 2000 694
42. R. Messina, C. Holm, and K. Kremer Phys. Rev. Lett. 85 2000 872; R. Messina, C. Holm, and K. Kremer Europhys. Lett. 51 2000 461
43. R. Messina, C. Holm, and K. Kremer Phys. Rev. Lett. 85 2000 872; R. Messina, C. Holm, and K. Kremer Europhys. Lett. 51 2000 461
44. E. Allahyarov, and H. Löwen Phys. Rev. E 62 2000 5542
45. A.G. Moreira, and R.R. Netz Europhys. Lett. 52 2000 705
46. A.G. Moreira, and R.R. Netz Phys. Rev. Lett 87 2001 078301
47. A.G. Moreira, and R.R. Netz Eur. Phys. J. E 8 2002 33
48. M. Deserno, A. Arnold, and C. Holm Macromolecules 36 2003 249
49. A. Naji, A. Arnold, C. Holm, and R.R. Netz Europhys. Lett. 67 2004 130
50. K.-C. Lee, I. Borukhov, W.M. Gelbart, A.J. Liu, and M.J. Stevens Phys. Rev. Lett. 93 2004 128101
51. R. Kjellander, and S. Marčelja Chem. Phys. Lett. 112 1984 49; R. Kjellander, and S. Marčelja J. Chem. Phys. 82 1985 2122
52. R. Kjellander, and S. Marčelja Chem. Phys. Lett. 112 1984 49; R. Kjellander, and S. Marčelja J. Chem. Phys. 82 1985 2122
53. F. Oosawa Biopolymers 6 1968 1633
54. F. Oosawa Polyelectrolytes 1971 Marcel Dekker New York
55. P. Attard, R. Kjellander, and D.J. Mitchell Chem. Phys. Lett. 139 1987 219; P. Attard, R. Kjellander, D.J. Mitchell, and B. Jönsson J. Chem. Phys. 89 1988 1664
56. P. Attard, R. Kjellander, and D.J. Mitchell Chem. Phys. Lett. 139 1987 219; P. Attard, R. Kjellander, D.J. Mitchell, and B. Jönsson J. Chem. Phys. 89 1988 1664
57. P. Attard, D.J. Mitchell, and B.W. Ninham J. Chem. Phys. 88 1988 4987
58. R. Podgornik, and B. Žekš J. Chem. Soc., Faraday Trans. II 84 1988 611; R. Podgornik J. Phys. A Math. Gen. 23 1990 275
59. R. Podgornik, and B. Žekš J. Chem. Soc., Faraday Trans. II 84 1988 611; R. Podgornik J. Phys. A Math. Gen. 23 1990 275
60. J.-L. Barrat, and J.-F. Joanny Adv. Chem. Phys. XCIV 1 1996
61. P.A. Pincus, and S.A. Safran Europhys. Lett. 42 1998 103
62. R. Podgornik, and V.A. Parsegian Phys. Rev. Lett. 80 1998 1560
63. B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 79 1997 1289; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 81 1998 1011; B.-Y. Ha, and A.J. Liu Phys. Rev. E 58 1998 6281; B.-Y. Ha, and A.J. Liu Phys. Rev. E 60 1999 803; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 83 1999 2681; B.-Y. Ha, and A.J. Liu Europhys. Lett. 46 1999 624
64. B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 79 1997 1289; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 81 1998 1011; B.-Y. Ha, and A.J. Liu Phys. Rev. E 58 1998 6281; B.-Y. Ha, and A.J. Liu Phys. Rev. E 60 1999 803; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 83 1999 2681; B.-Y. Ha, and A.J. Liu Europhys. Lett. 46 1999 624
65. B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 79 1997 1289; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 81 1998 1011; B.-Y. Ha, and A.J. Liu Phys. Rev. E 58 1998 6281; B.-Y. Ha, and A.J. Liu Phys. Rev. E 60 1999 803; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 83 1999 2681; B.-Y. Ha, and A.J. Liu Europhys. Lett. 46 1999 624
66. B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 79 1997 1289; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 81 1998 1011; B.-Y. Ha, and A.J. Liu Phys. Rev. E 58 1998 6281; B.-Y. Ha, and A.J. Liu Phys. Rev. E 60 1999 803; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 83 1999 2681; B.-Y. Ha, and A.J. Liu Europhys. Lett. 46 1999 624
67. B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 79 1997 1289; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 81 1998 1011; B.-Y. Ha, and A.J. Liu Phys. Rev. E 58 1998 6281; B.-Y. Ha, and A.J. Liu Phys. Rev. E 60 1999 803; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 83 1999 2681; B.-Y. Ha, and A.J. Liu Europhys. Lett. 46 1999 624
68. B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 79 1997 1289; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 81 1998 1011; B.-Y. Ha, and A.J. Liu Phys. Rev. E 58 1998 6281; B.-Y. Ha, and A.J. Liu Phys. Rev. E 60 1999 803; B.-Y. Ha, and A.J. Liu Phys. Rev. Lett. 83 1999 2681; B.-Y. Ha, and A.J. Liu Europhys. Lett. 46 1999 624
69. D.B. Lukatsky, and S.A. Safran Phys. Rev. E 60 1999 5848
70. M. Kardar, and R. Golestanian Rev. Mod. Phys. 71 1999 1233
71. R.R. Netz, and H. Orland Eur. Phys. J. E 1 2000 203
72. B.-Y. Ha Phys. Rev. E 64 2001 031507
73. A.W.C. Lau, and P. Pincus Phys. Rev. E 66 2002 041501
74. O. Gonzalez-Amezcua, M. Hernandez-Contreras, and P. Pincus Phys. Rev. E 64 2001 041603
75. M.J. Stevens, and M.O. Robbins Europhys. Lett. 12 1990 81
76. A. Diehl, M.N. Tamashiro, M.C. Barbosa, and Y. Levin Physica A 274 1999 433; M.C. Barbosa, M. Deserno, and C. Holm Europhys. Lett. 52 2000 80
77. A. Diehl, M.N. Tamashiro, M.C. Barbosa, and Y. Levin Physica A 274 1999 433; M.C. Barbosa, M. Deserno, and C. Holm Europhys. Lett. 52 2000 80
78. I. Rouzina, and V.A. Bloomfield J. Phys. Chem. 100 1996 9977
79. A.A. Kornyshev, and S. Leikin J. Chem. Phys. 107 1997 3656; A.A. Kornyshev, and S. Leikin Phys. Rev. Lett. 82 1999 4138
80. A.A. Kornyshev, and S. Leikin J. Chem. Phys. 107 1997 3656; A.A. Kornyshev, and S. Leikin Phys. Rev. Lett. 82 1999 4138
81. J.J. Arenzon, J.F. Stilck, and Y. Levin Eur. Phys. J. B 12 1999 79; Y. Levin, J.J. Arenzon, and J.F. Stilck Phys. Rev. Lett. 83 1999 2680
82. J.J. Arenzon, J.F. Stilck, and Y. Levin Eur. Phys. J. B 12 1999 79; Y. Levin, J.J. Arenzon, and J.F. Stilck Phys. Rev. Lett. 83 1999 2680
83. B.I. Shklovkii Phys. Rev. E 60 1999 5802
84. B.I. Shklovskii Phys. Rev. Lett. 82 1999 3268
85. A.Yu. Grosberg, T.T. Nguyen, and B.I. Shklovskii Rev. Mod. Phys. 74 2002 329
86. A. Diehl, H.A. Carmona, and Y. Levin Phys. Rev. E 64 2001 011804
87. A.W.C. Lau, D. Levine, and P. Pincus Phys. Rev. Lett. 84 2000 4116; A.W.C. Lau, P. Pincus, D. Levine, and H.A. Fertig Phys. Rev. E 63 2001 051604
88. A.W.C. Lau, D. Levine, and P. Pincus Phys. Rev. Lett. 84 2000 4116; A.W.C. Lau, P. Pincus, D. Levine, and H.A. Fertig Phys. Rev. E 63 2001 051604
89. R.R. Netz Eur. Phys. J. E 5 2001 557
90. Y. Levin Rep. Prog. Phys. 65 2002 1577
91. A. Naji, and R.R. Netz Eur. Phys. J. E 13 2004 43
92. W.M. Gelbart, R.F. Bruinsma, P.A. Pincus, V.A. Parsegian, Physics Today (September 2000), pp. 38-44.
93. I. Rouzina, and V.A. Bloomfield Biophys. J. 74 1998 3152
94. R. Golestanian, M. Kardar, and T.B. Liverpool Phys. Rev. Lett. 82 1999 4456
95. Y. Levin Physica A 265 1999 432
96. T.T. Nguyen, and I. Rouzskii J. Chem. Phys. 112 2000 2562
97. O. Spalla, and L. Belloni Phys. Rev. Lett. 74 1995 2515; L. Belloni J. Phys. Condens. Matter 12 2000 R549
98. O. Spalla, and L. Belloni Phys. Rev. Lett. 74 1995 2515; L. Belloni J. Phys. Condens. Matter 12 2000 R549
99. J. Ray, and G.S. Manning Macromolecules 30 1997 5739; J. Ray, and G.S. Manning Langmuir 10 1994 2450
100. J. Ray, and G.S. Manning Macromolecules 30 1997 5739; J. Ray, and G.S. Manning Langmuir 10 1994 2450
101. J.C. Neu Phys. Rev. Lett. 82 1999 1072
102. J.E. Sader, and D.Y.C. Chan J. Colloid Interface Sci. 213 1999 268; J.E. Sader, and D.Y.C. Chan Langmuir 16 2000 324
103. J.E. Sader, and D.Y.C. Chan J. Colloid Interface Sci. 213 1999 268; J.E. Sader, and D.Y.C. Chan Langmuir 16 2000 324
104. E. Trizac, and J.-L. Raimbault Phys. Rev. E 60 1999 6530; E. Trizac Phys. Rev. E 62 2000 R1465
105. E. Trizac, and J.-L. Raimbault Phys. Rev. E 60 1999 6530; E. Trizac Phys. Rev. E 62 2000 R1465
106. One can show based on dimensional arguments that the system of counterions at a charged wall has only two independent length scales (e.g. the Bjerrum length and the Gouy-Chapman length) and only one independent dimensionless parameter.
107. M. Baus, and J. Hansen Phys. Rep. 59 1980 1
108. A more accurate estimate of the typical distance between counterions at low couplings (Ξ ≪ 1), a, gives a / μ ∼ Ξ 1 / 3 taking into account the 3D structure of the counterionic layer.
109. D. Henderson, and L. Blum J. Chem. Phys. 75 1981 2025; S.L. Carnie, and D.Y.C. Chan J. Chem. Phys. 74 1981 1293; H. Wennerström, B. Jönsson, and P. Linse J. Chem. Phys. 76 1982 4665
110. D. Henderson, and L. Blum J. Chem. Phys. 75 1981 2025; S.L. Carnie, and D.Y.C. Chan J. Chem. Phys. 74 1981 1293; H. Wennerström, B. Jönsson, and P. Linse J. Chem. Phys. 76 1982 4665
111. D. Henderson, and L. Blum J. Chem. Phys. 75 1981 2025; S.L. Carnie, and D.Y.C. Chan J. Chem. Phys. 74 1981 1293; H. Wennerström, B. Jönsson, and P. Linse J. Chem. Phys. 76 1982 4665
112. Y. Burak, D. Andelman, and H. Orland Phys. Rev. E 70 2004 016102
113. A.G. Moreira, Charged systems in bulk and at interfaces, Ph.D. dissertation, Potsdam University, 2001.
114. S. Jungblut, R.R. Netz, unpublished; S. Jungblut, Diploma dissertation, Ludwig Maximilian University Munich, 2004.
115. S. Jungblut, R.R. Netz, unpublished; S. Jungblut, Diploma dissertation, Ludwig Maximilian University Munich, 2004.
116. G.S. Manning J. Chem. Phys. 51 1969 924
117. B.H. Zimm, and M. Le Bret J. Biomol. Struct. Dyn. 1 1983 461; M. Le Bret, and B.H. Zimm Biopolymers 23 1984 287
118. B.H. Zimm, and M. Le Bret J. Biomol. Struct. Dyn. 1 1983 461; M. Le Bret, and B.H. Zimm Biopolymers 23 1984 287
119. A. Naji, R.R. Netz, to be published.
120. Note that γ RB may be related to the coupling parameter as γ RB = Ξ / (ξ Δ Δ̃), where Δ Δ̃ = Δ / μ.
121. A. Diehl, M.C. Barbosa, and Y. Levin Europhys. Lett. 53 2001 86
122. A.G. Moreira, and R.R. Netz Europhys. Lett. 57 2002 911