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What really enhances the adsorption of polymers onto chemically nonuniform surfaces: Surface randomness or its heterogeneity?
2.G. Heinrich and T. A. Vilgis, Kautsch. Gummi Kunstst. 27, 7846 (1993).
12.K. Sumithra, J. Chem. Phys. 98, 9312 (1994).
14.Specifically, here we mean that integrating the expression for the polymer density profile at the patterned surface given by Eq. (44) in Ref. 13 over the space coordinates gives 0.
18.P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
25.J. J. Semler and J. Genzer, Macromol. Theory Simul. 15, 219 (2004).
34.A. Halperin, J. U. Sommer, and M. Daoud, Europhys. Lett. 29, 297 (1995).
42.In these studies, the typical size of the surface pattern is set to be equal to the monomer segment length, which restricts the consideration to the limit when the polymers are much longer than the surface patterns. For further details, please see Ref. 43.
49.In what follows, the lateral length of the adsorbing substrate is considered to be infinite. This length can be conveniently defined as , where is the Dirac delta function.
50.M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
53.H. Beitman and A. Erdelyi, Higher Transcendental Functions (Mc Graw-Hill, New York, 1953).
54.Note that we disregard the difference by a factor of 2 between the results in Eqs. (10) and (11) and those obtained in Ref. 13 that occurs because of the improper integration of the delta function in Ref. 13. Specifically, the authors of Ref. 13 put , while it must read for any function .
55.S. Safran, Thermodynamics of Surfaces, Interfaces, and Membranes (Addison-Wesley, Reading, MA, 1994).
57.We assume here that the correlation length is finite if the system is far enough from the phase transition point. This leads to the fact that the local fluctuation produced by the random source at point decays as so the blend of and particles is considered to be in thermal equilibrium at infinite distances from .
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