Abstract
Using the Ginzburg-Landau theory the transverse critical field of small (a«ξ0,b»ξ0) cylinders of elliptical cross section has been calculated for an arbitrary angle between the field and the axes of the ellipse. The criterion for second-order phase transitions has been found. While the equations readily reduce to the case of the circular cylinder, they do not reduce to the case of the flat film. The reasons for this are discussed.
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