with our results, has been obtained in BSCCO by Avraham et al.[@Avraham] For an experimental system, in which disorder strength is constant and the applied magnetic field $H$ is varied, the magnetization density $M=(1/V)\partial{\cal F}/\partial H$ becomes the analog of our parameter $Q$. While initial measurements of the jump $\Delta M$ at melting appeared to show $\Delta M$ vanishing as $H$ increased, suggesting an upper critical point, subsequent measurements using a additional small oscillating field to “tickle" the vortex lines to help avoid trapping in metastable local energy minima, showed a finite $\Delta M$ continuing along the melting curve past the presumed upper critical point and down to even lower temperatures. Their conclusion was that the presumed upper critical point in BCSSO was an artifact of poor equilibration, and that a unified first order transition line continued between thermally driven melting at low $H$, and disorder driven melting at larger $H$. Similar conclusions had been drawn earlier by others[@vanderBeek; @Gaifullin] based on measurements of the Josephson plasma frequency.

=8.6truecm

Finally, we consider the finite size dependence of our results to see that the values of $[\Delta E]$ and $[\Delta Q]$ which we have found for the $20\times 20\times 6$ size 