  The spontaneous evolution of magnetic reconnection in generalized situations
(with thermodynamic asymmetry regarding the current sheet and magnetic shear)
is investigated using two-dimensional magnetohydrodynamic simulation. We focus
on the asymptotic state of temporal evolution, i.e., the self-similarly
expanding phase (Nitta et al. 2001). 1) A long fast-mode shock is generated in
front of the shorter plasmoid as in the shear-less thermodynamically asymmetric
case; however, the sheared magnetic component weakens the shock. This fast
shock may work as a particle acceleration site. 2) The shorter plasmoid-side
plasma infiltrates the longer plasmoid across the current sheet. Then, the
plasmas from both sides of the current sheet coexist on the same magnetic field
lines in the longer plasmoid. This may result in efficient plasma mixing. 3)
The thermodynamic asymmetry and magnetic shear drastically decrease the
reconnection rate in many orders of magnitude.
