From micro-systems to macro-systems: What size is a metal?
Having defined metal as a macroscopic (bulk) system, its minimum size is the size beyond which deviations form the bulk behaviour are no longer detectable. The size therefore depends on the physical property studied as well as on the sensitivity of the experimental apparatus.
We have presented some model treatments of a metallic slab. This system can be characterized by a number of scalar parameters as well as fields. As the slab thickness is varied the scalar parameters generally shift (scaling relations) while the field pattern change in space and time. Nevertheless, at least in the present model the time-pattern (frequency) and the space pattern are still found to be interrelated in terms of a dispersion relation.
KeywordsSlab Thickness Slab Geometry Fractional Shift Electric Displacement Field Infinite Homogeneous Medium
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