The non-linear behavior of the change in specific heat Delta C versus
the applied field B-a of YBa2Cu3O7-delta near the transition temperatu
re T-c is explained qualitatively by incorporating the overlap of vort
ices in the London model. The overlap of vortices increases the magnet
ic interaction range lambda by a factor 1/root 1-b, where b = B-a/B-c2
. Based on this analysis, it is shown that the Delta C peak shifts to
lower temperature with magnetic field. This effect is more pronounced
for B-a parallel to the c-axis than that for B-a perpendicular to the
c-axis. The shift of the Delta C peak with respect to the bare transit
ion temperature T-c(0) varies linearly with B-a(1/2v) as the upper cri
tical field varies as (1-t)(2v), where t = T/T-c. It is also found tha
t both the width and the shift have the same field dependence as predi
cted in the finite-size scaling model.