Dimension effect on critical field of superconductor when Ginzburg-Landau is 1.5

Abstract

Numerical studies have been done on the effect of size on critical field of superconductor when Ginzburg-Landau parameter (K) is equal to 1.5. The object is a Type-II superconductor which was assumed to be subjected to an external magnetic field as a function of time. The Time Dependent Ginzburg Landau (TDGL) equation and boundary conditions are used to solve the problem numerically by using 𝜓/U method. The results showed values of |𝜓/′|2 - Hext for every size variations and they could be used to calculate critical field Hc1 and Hc3. Then the data in this study have been compared with previous study when Ginzburg-Landau parameter were 3. From the results of the study, it can be seen that the larger size of superconductor makes the smaller values of Hc1 and Hc3 for the small superconductor until the value tends to be constant for large superconductor. It was also concluded that if the Ginzburg-Landau parameter became twice of it, the values of Hc1 would be 1.5 times but Hc3 would be constant.