Hall current and losses in composite cryoconductor

Abstract

We discuss the problem of steady field and current flow distribution in model double-strip composite conductor having the electric contact in its interface. Composite components are aluminum and s0 called anti-aluminum – thay is hypothetic conductor having opposite on sign Hall coefficient whereas all other components of its resistivity tensor are the same as usual aluminum resistivity tensor. The interface is orthogonal to an external magnetic field. The analysis is based on the phenomenological macros copic equations for steady current field including the renewal of the hypothesis of existence the transverse current in every strip. The transverse current density value is accepted to depend on the distance to the interface plane. The transverse and transport current densities are obtained and the expression for the effective transport resistivity of composite conductor is estimated via the averaging of current density through the conductor volume. It is seen that the effective resistivity is a characteristics of an intermediate case between two limit geometries of charge flow. One limit geometry is a current flow through a single conductor (the interface does not influence on to current density allocation and resistivity). Another limit case is similar to current flow via disk like Corbino conductor (the interface influences on to charge flow very highly, the effective resistivity is large). It is shown that for relevant geometric parameters of double strip conductor the intermediate case for current density distribution and effective resistivity is closer to Corbino geometry than to single conductor geometry.