منابع مشابه
Spectral theory of corrugated surfaces
This paper is a brief review of the program initiated some years ago in [JMP]. The main goal of this program is to understand the formation and the propagation properties of surface states in regions with corrugated boundaries. The history of this problem and its physical aspects are discussed in [JMP, KP]. The results described in this review are obtained in collaborations with Yoram Last and ...
متن کاملActive steering along corrugated surfaces
To date, research on the visual control of locomotion, or optic flow, has been treated largely as a computational problem wherein formal descriptions are sought to character-ise the change in the image pattern on the retina that results from observer translation with concomitant eye rotation (se Lappe et al 1999, for details). Various models have been proposed (see Hildreth and Royden 1998, for...
متن کاملParallel and Perpendicular Lamellae on Corrugated Surfaces
We consider the relative stability of parallel and perpendicular lamellar layers on corrugated surfaces. The model can be applied to smectic phases of liquid crystals, to lamellar phases of shortchain amphiphiles and to lamellar phases of long-chain block copolymers. The corrugated surface is modelled by having a single q-mode lateral corrugation of a certain height. The lamellae deform close t...
متن کاملLateral Casimir-Polder force with corrugated surfaces
We derive the lateral Casimir-Polder force on a ground state atom on top of a corrugated surface, up to first order in the corrugation amplitude. Our calculation is based on the scattering approach, which takes into account nonspecular reflections and polarization mixing for electromagnetic quantum fluctuations impinging on real materials. We compare our first order exact result with two common...
متن کاملAnisotropic drop morphologies on corrugated surfaces.
The spreading of liquid drops on surfaces corrugated with micrometer-scale parallel grooves is studied both experimentally and numerically. Because of the surface patterning, the typical final drop shape is no longer spherical. The elongation direction can be either parallel or perpendicular to the direction of the grooves, depending on the initial drop conditions. We interpret this result as a...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2000
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x00000563