Scaling and universality in the counterion-condensation transition at charged cylinders

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 5, 2006, Pages

  Naji, Ali ^a   Netz, Roland R ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MONTE CARLO METHODS; NUMERICAL METHODS; POLYMERS; PROBLEM SOLVING; SAMPLING;

CHARGED CYLINDERS; CHARGED RODLIKE POLYMERS; COUNTERION-CONDENSATION TRANSITION;

CONDENSATION;

EID: 33646518148     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.056105     Document Type: Article

References (109)

1. G. S. Manning, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1672157 51, 924 (1969);
2. G. S. Manning, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1672502 51, 3249 (1969).
3. F. Oosawa, Polyelectrolytes (Marcel Dekker, New York, 1971).
4. N. Imai and T. Ohnishi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1730112 30, 1115 (1959);
5. T. Ohnishi, N. Imai, and F. Oosawa, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.15.896 15, 896 (1960).
6. G. S. Manning, Biophys. Chem. BICIAZ 0301-4622 10.1016/S0301-4622(99) 00041-1 7, 95 (1977).
7. G. S. Manning, J. Phys. Chem. JPCHAX 0022-3654 79, 262 (1975);
8. G. S. Manning, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j150611a011 85, 1506 (1981).
9. G. S. Manning, Q. Rev. Biophys. QURBAW 0033-5835 11, 179 (1978).
10. G. S. Manning, Ber. Bunsenges. Phys. Chem. BBPCAX 0005-9021 100, 909 (1996).
11. G. S. Manning, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00452-1 231, 236 (1996).
12. A. D. MacGillivray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1676941 56, 80 (1972);
13. A. D. MacGillivray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1676942 56, 83 (1972);
14. A. D. MacGillivray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1678026 57, 4071 (1972);
15. A. D. MacGillivray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1678027 57, 4075 (1972).
16. G. V. Ramanathan, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.445239 78, 3223 (1983).
17. G. V. Ramanathan and C. P. Woodbury, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.444322 77, 4133 (1982);
18. G. V. Ramanathan and C. P. Woodbury, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448423 82, 1482 (1985).
19. C. P. Woodbury and G. V. Ramanathan, Macromolecules MAMOBX 0024-9297 15, 82 (1982).
20. B. H. Zimm and M. Le Bret, J. Biomol. Struct. Dyn. JBSDD6 0739-1102 1, 461 (1983);
21. M. Le Bret and B. H. Zimm, Bull. Pol. Acad. Sci., Chem. BPACEQ 0239-7285 32, 287 (1984).
22. J. S. McCaskill and E. D. Fackerell, J. Chem. Soc., Faraday Trans. 2 JCFTBS 0300-9238 10.1039/f29888400161 84, 161 (1988).
23. A. Ikegami, J. Polym. Sci., Part A: Gen. Pap. JPYAAK 0449-2951 2, 907 (1964).
24. R. Zana, J. Chim. Phys. Phys.-Chim. Biol. JCPBAN 0021-7689 68, 1258 (1971).
25. M. Kowblansky and P. Zema, Macromolecules MAMOBX 0024-9297 14, 166 (1981);
26. M. Kowblansky and P. Zema, Macromolecules MAMOBX 0024-9297 14, 1448 (1981).
27. J. W. Klein and B. R. Ware, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.446814 80, 1334 (1984).
28. P. Ander and M. Kardan, Macromolecules MAMOBX 0024-9297 10.1021/ma00141a038 17, 2431 (1984).
29. L. M. Penafiel and T. A. Litovitz, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.462000 96, 3033 (1992);
30. L. M. Penafiel and T. A. Litovitz, J. Chem. Phys. JCPSA6 0021-9606 97, 559 (1992).
31. A. Popov and D. A. Hoagland, J. Polym. Sci., Part B: Polym. Phys. JPBPEM 0887-6266 10.1002/polb.20200 42, 3616 (2004).
32. J. X. Tang, Biochemistry BICHAW 0006-2960 10.1021/bi9711386 36, 12600 (1997);
33. G. C. L. Wong, A. Lin, J. X. Tang, Y. Li, P. A. Janmey, and C. R. Safinya, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.018103 91, 018103 (2003).
34. V. Bloomfield, Biopolymers BIPMAA 0006-3525 10.1002/bip.360311305 31, 1471 (1991);
35. V. Bloomfield, Curr. Opin. Struct. Biol. COSBEF 0959-440X 10.1016/S0959-440X(96)80052-2 6, 334 (1996).
36. R. G. Winkler, M. Gold, and P. Reineker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.3731 80, 3731 (1998).
37. M. Deserno, C. Holm, and S. May, Macromolecules MAMOBX 0024-9297 10.1021/ma990897o 33, 199 (2000).
38. S. Liu and M. Muthukumar, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1476930 116, 9975 (2002);
39. S. Liu, K. Ghosh, and M. Muthukumar, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1580109 119, 1813 (2003).
40. Q. Liao, A. V. Dobrynin, and M. Rubinstein, Macromolecules MAMOBX 0024-9297 10.1021/ma0259968 36, 3399 (2003).
41. A. Naji and R. R. Netz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.185703 95, 185703 (2005).
42. M. Fixman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.437340 70, 4995 (1979).
43. D. Stigter, J. Phys. Chem. JPCHAX 0022-3654 82, 1603 (1978);
44. D. Stigter, Biophys. J. BIOJAU 0006-3495 69, 380 (1995).
45. P. González-Mozuelos and M. Olvera de la Cruz, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.470248 103, 3145 (1995).
46. C. A. Tracy and H. Widom, Physica A PHYADX 0378-4371 10.1016/S0378- 4371(97)00229-X 244, 402 (1997).
47. Y. Levin and M. C. Barbosa, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1997113 7, 37 (1997).
48. P. S. Kuhn, Y. Levin, and M. C. Barbosa, Macromolecules MAMOBX 0024-9297 10.1021/ma980069f 31, 8347 (1998).
49. H. Schiessel and P. Pincus, Macromolecules MAMOBX 0024-9297 10.1021/ma980823x 31, 7953 (1998).
50. R. M. Nyquist, B.-Y. Ha, and A. J. Liu, Macromolecules MAMOBX 0024-9297 10.1021/ma9811021 32, 3481 (1999).
51. J. Ray and G. S. Manning, Macromolecules MAMOBX 0024-9297 32, 4588 (1999).
52. H. Qian and J. A. Schellman, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp994168m 104, 11528 (2000).
53. G. S. Manning, Macromolecules MAMOBX 0024-9297 10.1021/ma010159b 34, 4650 (2001).
54. A. Deshkovski, S. Obukhov, and M. Rubinstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2341 86, 2341 (2001).
55. P. L. Hansen, R. Podgornik, and V. A. Parsegian, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.021907 64, 021907 (2001).
56. M. L. Henle, C. D. Santangelo, D. M. Patel, and P. A. Pincus, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10205-1 66, 284 (2004).
57. M. Muthukumar, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1701839 120, 9343 (2004).
58. I. Borukhov, J. Polym. Sci., Part B: Polym. Phys. JPBPEM 0887-6266 10.1002/polb.20204 42, 3598 (2004).
59. B. O'Shaughnessy and Q. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.048302 94, 048302 (2005).
60. Y. Burak and H. Orland, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.010501 73, 010501 (R) (2006).
61. E. Trizac and G. Téllez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.038302 96, 038302 (2006).
62. A. L. Kholodenko and A. L. Beyerlein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4679 74, 4679 (1995).
63. Y. Levin, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00168-X 257, 408 (1998).
64. Y. Y. Suzuki, J. Phys.: Condens. Matter JCOMEL 0953-8984 16, 2119 (2004).
65. R. L. Cleland, Macromolecules MAMOBX 0024-9297 24, 4386 (1991).
66. J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, England, 1996).
67. T. Alfrey, P. W. Berg, and H. Morawetz, J. Polym. Sci. JPSCAU 0022-3832 10.1002/pol.1951.120070509 7, 543 (1951).
68. R. M. Fuoss, A. Katchalsky, and S. Lifson, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 37, 579 (1951).
69. S. Lifson and A. Katchalsky, J. Polym. Sci. JPSCAU 0022-3832 10.1002/pol.1954.120136804 13, 43 (1954).
70. A. Katchalsky, Pure Appl. Chem. PACHAS 0033-4545 26, 327 (1971).
71. R. A. Marcus, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1742191 23, 1057 (1955).
72. A. Yu. Grosberg, T. T. Nguyen, and B. I. Shklovskii, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.329 74, 329 (2002);
73. Y. Levin, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/65/11/201 65, 1577 (2002).
74. R. R. Netz, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890170039 5, 557 (2001).
75. A. G. Moreira and R. R. Netz, Eur. Phys. J. E EPJSFH 1292-8941 8, 33 (2002);
76. A. G. Moreira and R. R. Netz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2000-00495-1 52, 705 (2000).
77. A. Naji and R. R. Netz, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2004-00039-x 13, 43 (2004);
78. A. Naji, A. Arnold, C. Holm, and R. R. Netz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10054-x 67, 130 (2004).
79. A. Naji, S. Jungblut, A. G. Moreira, and R. R. Netz, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.12.029 352, 131 (2005).
80. H. Boroudjerdi, Y.-W. Kim, A. Naji, R. R. Netz, X. Schlagberger, and A. Serr, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.06.006 416, 129 (2005).
81. J. DeRouchey, R. R. Netz, and J. O. Rädler, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2005-00003-4 16, 17 (2005).
82. I. Gössl, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja017828l 124, 6860 (2002).
83. N. Severin, J. P. Rabe, and D. G. Kurth, J. Am. Chem. Soc. JACSAT 0002-7863 126, 3696 (2004).
84. W. Stocker, J. Am. Chem. Soc. JACSAT 0002-7863 120, 7691 (1998).
85. Y. Burak, D. Andelman, and H. Orland, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.016102 70, 016102 (2004).
86. R. R. Netz and J.-F. Joanny, Macromolecules MAMOBX 0024-9297 10.1021/ma980115b 31, 5123 (1998).
87. M. Kardar and R. Golestanian, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.1233 71, 1233 (1999).
88. A. Naji, R. R. Netz, and C. Seidel, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2002-10163-4 12, 223 (2003).
89. D. Bratko and V. Vlachy, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(82)80250-9 90, 434 (1982).
90. M. Le Bret and B. H. Zimm, Biopolymers BIPMAA 0006-3525 10.1002/bip.360230208 23, 271 (1984).
91. C. S. Murthy, R. J. Bacquet, and P. J. Rossky, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100250a029 89, 701 (1985).
92. N. Metropolis, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1699114 21, 1087 (1953).
93. J. Lekner, Physica A PHYADX 0378-4371 10.1016/0378-4371(91)90226-3 176, 485 (1991).
94. R. Sperb, Mol. Simul. MOSIEA 0892-7022 20, 179 (1998).
95. A. Arnold and C. Holm, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/S0010-4655(02)00586-6 148, 327 (2002).
96. H. Flyvberg and H. G. Petersen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.457480 91, 461 (1989).
97. R. Bacquet and P. J. Rossky, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j150656a046 88, 2660 (1984).
98. S. S. Zakharova, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.480425 111, 10706 (1999).
99. K. Binder and D. W. Heermann, Monte Carlo Simulation in Statistical Physics: An Introduction (Springer-Verlag, Berlin, 1997).
100. A. M. Ferrenberg and D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.5081 44, 5081 (1991).
101. M. E. Fisher and M. N. Barber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28.1516 28, 1516 (1972).
102. R. Das, T. T. Mills, L. W. Kwok, G. S. Maskel, I. S. Millett, S. Doniach, K. D. Finkelstein, D. Herschlag, and L. Pollack, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.188103 90, 188103 (2003).
103. Z. Kiraly and G. H. Findenegg, Langmuir LANGD5 0743-7463 21, 5047 (2005).
104. M. Deserno, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890170091 5, 97 (2001).
105. H. E. Auer and Z. Alexandrowicz, Biopolymers BIPMAA 0006-3525 10.1002/bip.1969.360080102 8, 1 (1969).
106. E. Raspaud, M. da Conceiçao, and F. Livolant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2533 84, 2533 (2000).
107. F. Muller, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890170010 6, 109 (2001).
108. B. Jayaram, Macromolecules MAMOBX 0024-9297 10.1021/ma00214a021 23, 3156 (1990).
109. M. J. Stevens and K. Kremer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.470698 103, 1669 (1995).