Models for multiple heating mechanisms

Current meteoritic and astrophysical evidence (especially FU Orionis events) suggests that large-scale gas-dynamics shocks penetrating to the nebular midplane represent a promising class of multiple heating mechanisms for the formation of chondrules. Initial numerical models have shown that shock heating of chondrule precursor grains in optically thick clouds of grains is especially efficient. Shocks generated by infalling molecular cloud clumps and shocks separating different mass elements in a time dependently and axially asymmetrically evolving disk are possibilities deserving further attention. Meteoritic constraints, astrophysical considerations and multiple heating mechanisms are addressed.