In the present work, we will study the effect of dimensionality (i.e 2 + 1 and 3 + 1) has on the different types of coupling in a two-band superconducting system, specifically for the Josephson, bi-quadratic and weak type couplings. This study will be oriented to a ZFC (Zero-Field-Cooling) process and we will see the effect that the variation of temperature for three special cases of the external field (fixed, H < H₁, H = H₁ and H > H₁) has on the order parameter ψ, phase ψ, magnetization M and free energy G(T) in these superconductors of multibands and a comparison between the behavior of these electronic and thermodynamic variables. This analysis will be carried out using the solution of time-dependent two bands Ginzburg-Landau equations (2B-TDGL).

在当前的工作中，我们将研究维数（即2 +1和3 +1）对两带超导系统中不同类型耦合的影响，特别是对于约瑟夫森，双二次和弱耦合。这项研究将针对ZFC（零场冷却）过程，我们将看到三种特殊情况下的外部场（固定，H  <  H ₁，H = H ₁和H  >  H ₁）的阶数参数为ψ，相位ψ，磁化强度M和自由能G（T）在这些多频带超导体中以及这些电子变量和热力学变量的行为之间的比较。该分析将使用与时间相关的两个波段的吉恩斯堡-兰道方程（2B-TDGL）进行求解。