Scaling law and general expression for transport ac loss of a rectangular thin strip with power-law E(J) relation

• Scaling law for ac loss of strip with power-law E(J) is deduced.
• General expression for ac loss of thin strips with power-law E(J) is given.
• The transport scaling law and its applications are discussed.

Transport ac loss Q of a superconducting rectangular thin strip obeying a power-law relation E∝Jn as a function of current amplitude Im may be, following Norris, expressed by normalized quantities as q(im). A scaling law is deduced that if Icf, Ic and f being the critical current and frequency, is multiplied by a positive constant C, then im and qm   are multiplied by C1/(n−1)C1/(n−1)and C2/(n−1),C2/(n−1),respectively. Based on this scaling law and the well-known Norris formula, the general function of q(im, n, f) is obtained graphically or analytically for any practical purpose, after accurate numerical computations on a set of q(im) at several values of n and a fixed value of f.