{ "id": "1505.04169", "version": "v1", "published": "2015-05-15T19:19:55.000Z", "updated": "2015-05-15T19:19:55.000Z", "title": "The Casimir effect for a stack of conductive planes", "authors": [ "Nail Khusnutdinov", "Rashid Kashapov", "Lilia M. Woods" ], "comment": "9 pages, 4 figures", "categories": [ "cond-mat.mes-hall", "hep-th" ], "abstract": "The Casimir interaction in a stack of equally spaced infinitely thin layers is investigated within the zero-frequency mode summation method. The response properties are considered to be described by a constant conductivity or by a Drude-Lorentz model with a finite set of oscillators consistent with the optical characteristics for graphite. It is found that the asymptotic distance dependence is affected significantly by the specific response. While the energy is $\\sim 1/d^3$ for the constant conductivity model, the energy exhibits fractional dependence $\\sim 1/d^{5/2}$ for the Drude-Lorentz description. The Casimir force on a plane is also strongly dependent upon the particular plane location in the stack. Furthermore, the calculated Casimir energy within the Drude-Lorentz model yields results in good agreement with measured cohesion energy in graphite.", "revisions": [ { "version": "v1", "updated": "2015-05-15T19:19:55.000Z" } ], "analyses": { "subjects": [ "03.70.+k", "03.50.De" ], "keywords": [ "casimir effect", "conductive planes", "spaced infinitely thin layers", "zero-frequency mode summation method", "drude-lorentz model yields results" ], "publication": { "doi": "10.1103/PhysRevD.92.045002" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1370472 } } }