Unidimensional thermal gradients Tn in a nanoscopic superconductor

In general, few studies of the Abrikosov state in mesoscopic superconductors have been carried out with the presence of temperature gradients. We know that there can be situations where a sample near a heater source leads to a variable temperature system. Thus, in this work we studied the influence of several thermal gradients on the vortex configuration and the thermodynamics properties of a low critical temperature nanoscopic superconducting long square prism of size d × d. For this purposes, we simulated a hypothetical physical situation where the temperature varies into the sample as T=T1+(x/d)n(T2−T1), with T=T1(x=0),T=T2(x=d) and n=1,2,3,4,5,6, T1 < T2. The field for the first vortex penetration H1 presents a slow dependence on n and d.