Variational approach for electrolyte solutions: From dielectric interfaces to charged nanopores

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

Volumn 81, Issue 4, 2010, Pages

  Buyukdagli, Sahin ^a,b   Manghi, Manoel ^a,b   Palmeri, John ^a,b  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AIR-WATER; APPROXIMATE CALCULATIONS; ASYMMETRIC ELECTROLYTES; CHARGE REPULSION; CHARGE SEPARATIONS; CHARGED SURFACES; COUNTERIONS; COUPLING PARAMETERS; DIELECTRIC DISCONTINUITY; DIELECTRIC INTERFACE; DONNAN POTENTIAL; ELECTROLYTE SOLUTIONS; ELECTRONEUTRALITY; ELECTROSTATIC CORRELATION; ELECTROSTATIC EFFECT; ELECTROSTATIC FIELD; ELECTROSTATIC INTERACTIONS; IMAGE FORCE; ION CONCENTRATIONS; ION EXCLUSION; ION REJECTION; MC SIMULATION; MEAN FIELD APPROACH; MEMBRANE CHARGE; PARTITION COEFFICIENT; QUANTITATIVE COMPARISON; SALT CONCENTRATION; SIMPLE MODEL; SOLVATION ENERGY; STRONG COUPLING; SURFACE CHARGE EFFECT; THERMAL FLUCTUATIONS; VALENCIES; VARIATIONAL APPROACHES; VARIATIONAL EQUATIONS; VARIATIONAL METHODS; VARIATIONAL THEORY; WEAK-COUPLING LIMITS; WHOLE SYSTEMS;

ALGEBRA; DIELECTRIC MATERIALS; ELECTROLYTES; ELECTROSTATICS; IONIZATION OF LIQUIDS; IONS; MEAN FIELD THEORY; NANOPORES; ORDINARY DIFFERENTIAL EQUATIONS; PHASE INTERFACES; PORE SIZE; SURFACE CHARGE; SURFACE TENSION;

ELECTROMAGNETIC INDUCTION;

EID: 77950950203     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.041601     Document Type: Article

References (52)

1. A. Heydweiller, Ann. Phys. 4, 33145 (1910).
2. P. K. Weissenborn and R. J. Pugh, Langmuir 11, 1422 (1995). 10.1021/la00005a002
3. G. Wagner, Phys. Z. 25, 474 (1924).
4. L. Onsager and N. Samaras, J. Chem. Phys. 2, 528 (1934). 10.1063/1.1749522
5. V. E. Bravina, Sov. Phys. Dokl. 120, 381 (1958).
6. A. E. Yaroshchuk, Adv. Colloid Interface Sci. 85, 193 (2000). 10.1016/S0001-8686(99)00021-4 (Pubitemid 30566099)
7. R. B. Schoch, J. Han, and P. Renaud, Rev. Mod. Phys. 80, 839 (2008). 10.1103/RevModPhys.80.839
8. A. G. Moreira and R. R. Netz, Phys. Rev. Lett. 87, 078301 (2001). 10.1103/PhysRevLett.87.078301
9. A. G. Moreira and R. R. Netz, Europhys. Lett. 52, 705 (2000). 10.1209/epl/i2000-00495-1 (Pubitemid 33204280)
10. H. Boroudjerdi, Phys. Rep. 416, 129 (2005). 10.1016/j.physrep.2005.06.006 (Pubitemid 41263769)
11. R. R. Netz and H. Orland, Eur. Phys. J. E 1, 203 (2000). 10.1007/s101890050023
12. D. Dean and R. Horgan, Phys. Rev. E 65, 061603 (2002). 10.1103/PhysRevE.65.061603 (Pubitemid 40606601)
13. A. G. Moreira and R. R. Netz, Eur. Phys. J. E 8, 33 (2002).
14. A. Naji, S. Jungblut, A. Moreira, and R. R. Netz, Physica A 352, 131 (2005). 10.1016/j.physa.2004.12.029 (Pubitemid 40584062)
15. S. Alexander, P. M. Chaikin, P. Grant, G. J. Morales, P. Pincus, and D. Hone, J. Chem. Phys. 80, 5776 (1984). 10.1063/1.446600
16. Y. Levin, Rep. Prog. Phys. 65, 1577 (2002). 10.1088/0034-4885/65/11/201
17. Y. Levin, J. Chem. Phys. 113, 9722 (2000). 10.1063/1.1321043 (Pubitemid 32085152)
18. G. S. Manning, J. Chem. Phys. 51, 924 (1969). 10.1063/1.1672157
19. M. Kanduč, A. Naji, Y. S. Jho, P. A. Pincus, and R. Podgornik, J. Phys.: Condens. Matter 21, 424103 (2009). 10.1088/0953-8984/21/42/424103
20. R. R. Netz and H. Orland, Eur. Phys. J. E 11, 301 (2003). 10.1140/epje/i2002-10159-0
21. R. A. Curtis and L. Lue, J. Chem. Phys. 123, 174702 (2005). 10.1063/1.2102890 (Pubitemid 41567429)
22. M. M. Hatlo, R. A. Curtis, and L. Lue, J. Chem. Phys. 128, 164717 (2008). 10.1063/1.2908738 (Pubitemid 351620564)
23. M. M. Hatlo and L. Lue, Soft Matter 4, 1582 (2008). 10.1039/b803783c
24. M. M. Hatlo and L. Lue, Soft Matter 5, 125 (2009). 10.1039/b815578j
25. R. R. Netz, Eur. Phys. J. E 5, 557 (2001). 10.1007/s101890170039
26. The case with dielectric discontinuity has been studied without added salt in M. Hatlo and L. Lue, Europhys. Lett 89, 25002 (2010). 10.1209/0295-5075/89/25002
27. V. M. Starov and N. V. Churaev, Adv. Colloid Interface Sci. 43, 145 (1993). 10.1016/0001-8686(93)80016-5
28. X. Lefebvre, J. Palmeri, and P. David, J. Phys. Chem. B 108, 16811 (2004). 10.1021/jp048631t
29. A. Yaroshchuk, Sep. Purif. Technol. 22-23, 143 (2001). 10.1016/S1383-5866(00)00159-3 (Pubitemid 32224722)
30. C. Li and H. R. Ma, J. Chem. Phys. 121, 1917 (2004). 10.1063/1.1767155
31. I. Benjamin, Annu. Rev. Phys. Chem. 48, 407 (1997). 10.1146/annurev. physchem.48.1.407
32. S. M. Avdeev and G. A. Martynov, Colloid J. USSR 48, 632 (1968).
33. - 1 in front of v 0 in Eq. (12) found in [19] should be cancelled.
34. J. Janeček and R. R. Netz, J. Chem. Phys. 130, 074502 (2009). 10.1063/1.3058777
35. This is in fact a maximization with respect to φ 0 or to any variational parameter associated to a restricted choice for φ0. Indeed, the physical electrostatic potential φ0 corresponds to a pure imaginary auxiliary field φin the functional integral Z. Hence the (complex) minimum of H- H0 0 with respect to φ corresponds to a (real) maximum with respect to φ0.
36. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
37. A. Szymczyk and P. Fievet, J. Membr. Sci. 252, 77 (2005). 10.1016/j.memsci.2004.12.002 (Pubitemid 40521938)
38. F. Fornasiero, Proc. Natl. Acad. Sci. U.S.A. 105, 17250 (2008). 10.1073/pnas.0710437105
39. X. Lefebvre and J. Palmeri, J. Phys. Chem. B 109, 5525 (2005). 10.1021/jp0458710 (Pubitemid 40519452)
40. A. Yaroshchuk, Adv. Colloid Interface Sci. 60, 1 (1995). 10.1016/0001-8686(95)00246-M
41. M. E. Fisher and Y. Levin, Phys. Rev. Lett. 71, 3826 (1993). 10.1103/PhysRevLett.71.3826
42. J. P. Simonin, J. Phys. Chem. B 103, 699 (1999). 10.1021/jp9833000
43. S. Senapati and A. Chandra, J. Phys. Chem. B 105, 5106 (2001). 10.1021/jp011058i (Pubitemid 35372608)
44. J. Marti, J. Phys. Chem. B 110, 23987 (2006). 10.1021/jp0647277 (Pubitemid 46065838)
45. S. Buyukdagli, D. S. Dean, M. Manghi and J. Palmeri (unpublished).
46. P. Jungwirth and B. Winter, Annu. Rev. Phys. Chem. 59, 343 (2008). 10.1146/annurev.physchem.59.032607.093749 (Pubitemid 351703390)
47. C. D. Lorenz and A. Travesset, Phys. Rev. E 75, 061202 (2007). 10.1103/PhysRevE.75.061202 (Pubitemid 47140295)
48. A. Naji and R. Podgornik, Phys. Rev. E 72, 041402 (2005). 10.1103/PhysRevE.72.041402 (Pubitemid 41777895)
49. Y. Ge, Phys. Rev. E 80, 021928 (2009). 10.1103/PhysRevE.80.021928
50. K. Leung and S. B. Rempe, J. Comput. Theor. Nanosci. 6, 1948 (2009). 10.1166/jctn.2009.1250
51. R. R. Netz, Eur. Phys. J. E 5, 189 (2001). 10.1007/s101890170075
52. D. A. McQuarrie, Statistical Mechanics (University Science Book, New York, 2000), Chap..