Remainder Estimates for the Long Range Behavior of the van der Waals Interaction Energy
نویسندگان
چکیده
منابع مشابه
The van der Waals interaction
The interaction between charged particles via the Coulomb interaction is one of the most important features in physics and is familiar to any student of the subject. The way in which electrons and protons bind to form the hydrogen atom is also well known and is a staple of any quantum mechanics course. However, less familiar is the interaction between such bound systems at separation R, which i...
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We show that the usual sum of R-6 contributions from elements separated by distance R can give qualitatively wrong results for the electromagnetically nonretarded van der Waals interaction between nonoverlapping bodies. This occurs for anisotropic nanostructures that have a zero electronic energy gap, such as metallic nanotubes or nanowires, and nanolayered systems including metals and graphene...
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We consider an Ising system in d 2 dimensions with ferromagnetic spin-spin interactions ?J (x; y)(x)(y), x, y 2 Z d , where J (x; y) scales like a Kac potential. We prove that when the temperature is below the mean eld critical value, for any small enough (i.e. when the range of the interaction is long but nite), there are only two pure homogeneous phases, as stated by the van der Waals theory....
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2015
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-015-0437-6