Glass behavior of superconducting arrays: Novel finite-size effects

We consider two-dimensional superconducting arrays in external magnetic fields with regard to the possibility of glass behavior. In particular, we perform Monte Carlo simulations on the incommensurate array, and obtain results supportive of the successive ordering picture suggested previously. Thus, the finite-temperature transition observed in simulations is attributed to novel ‘‘finite-size’’ effects. Relevance to the superconducting glass model for high-$T_c$ superconductors is also discussed.