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• W2077090478 abstract "In a system with long-ranged correlations, the behavior of correlation functions is sensitive to the presence of a boundary. We show that surface deformations strongly modify this behavior as compared to a flat surface. The modified near surface correlations can be measured by scattering probes. To determine these correlations, we develop a perturbative calculation in the deformations in height from a flat surface. Detailed results are given for a regularly patterned surface, as well as for a self-affinely rough surface with roughness exponent ensuremath{zeta}. By combining this perturbative calculation in height deformations with the field-theoretic renormalization-group approach, we also estimate the values of critical exponents governing the behavior of the decay of correlation functions near a self-affinely rough surface. We find that for the interacting theory, a large enough ensuremath{zeta} can lead to a different surface critical behavior. We also provide scaling relations between roughness induced critical exponents for thermodynamic surface quantities." @default.
• W2077090478 created "2016-06-24" @default.
• W2077090478 creator A5008330401 @default.
• W2077090478 creator A5074250605 @default.
• W2077090478 date "2002-04-03" @default.
• W2077090478 modified "2023-09-27" @default.
• W2077090478 title "Correlation functions near modulated and rough surfaces" @default.
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• W2077090478 doi "https://doi.org/10.1103/physreve.65.046121" @default.
• W2077090478 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/12005940" @default.
• W2077090478 hasPublicationYear "2002" @default.
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