Geometry of surface-mediated interactions

Europhysics Letters

Volumn 69, Issue 3, 2005, Pages 482-488

  Muller M M ^a   Deserno, M ^a   Guven, J ^b  

^a MAX PLANCK INSTITUTE FOR POLYMER RESEARCH   (Germany)

^b INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13444301376     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2004-10368-1     Document Type: Article

References (35)

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27. bh to lowest order in ∇h).
28. b) is the Gaussian curvature.
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32. ⊥|x, and thus eq. (12).
33. We mention, as an aside, that the same trick has recently rendered possible a proof of the (non-trivial!) fact that within mean-field electrostatics two identical like-charged colloids repel. Here, the Euler-Lagrange equation of the underlying field theory is the nonlinear Poisson-Boltzmann equation, which cannot be solved analytically in this geometry, but certain properties of the corresponding (Maxwell) stress tensor nevertheless permit the determination of the sign of the interaction. See: NEU J., Phys. Rev. Lett., 82 (1999) 1072; SADER J. E. and CHAN D. Y. C., J. Colloid Interface Sci., 213 (1999) 268; TRIZAC E., Phys. Rev. E, 62 (2000) R1465.
34. We mention, as an aside, that the same trick has recently rendered possible a proof of the (non-trivial!) fact that within mean-field electrostatics two identical like-charged colloids repel. Here, the Euler-Lagrange equation of the underlying field theory is the nonlinear Poisson-Boltzmann equation, which cannot be solved analytically in this geometry, but certain properties of the corresponding (Maxwell) stress tensor nevertheless permit the determination of the sign of the interaction. See: NEU J., Phys. Rev. Lett., 82 (1999) 1072; SADER J. E. and CHAN D. Y. C., J. Colloid Interface Sci., 213 (1999) 268; TRIZAC E., Phys. Rev. E, 62 (2000) R1465.
35. We mention, as an aside, that the same trick has recently rendered possible a proof of the (non-trivial!) fact that within mean-field electrostatics two identical like-charged colloids repel. Here, the Euler-Lagrange equation of the underlying field theory is the nonlinear Poisson-Boltzmann equation, which cannot be solved analytically in this geometry, but certain properties of the corresponding (Maxwell) stress tensor nevertheless permit the determination of the sign of the interaction. See: NEU J., Phys. Rev. Lett., 82 (1999) 1072; SADER J. E. and CHAN D. Y. C., J. Colloid Interface Sci., 213 (1999) 268; TRIZAC E., Phys. Rev. E, 62 (2000) R1465.