We investigate the evolution of the intracluster medium during a cluster me
rger, explicitly considering the relaxation process between the ions and el
ectrons using N-body and hydrodynamical simulations. When two subclusters c
ollide, a bow shock is formed between the centers of the two substructures
and propagates in both directions along the collision axis. The shock prima
rily heats the ions because the kinetic energy of an ion entering the shock
is larger than that of an electron by the ratio of their masses. In the po
stshock region, the energy is transported from the ions to the electrons vi
a Coulomb coupling. However, since the energy-exchange timescale depends on
both the gas density and the temperature, the distribution of the electron
temperature becomes more complex than that of the plasma mean temperature,
especially in the expanding phase. After the collision of two subclusters,
gas outflow occurs not only along the collision axis but also in its perpe
ndicular direction. The gas originally located in the central parts of the
subclusters moves in both the parallel and perpendicular directions. Since
the equilibrium timescale of the gas along these directions is relatively s
hort, the temperature difference between ions and electrons is larger in th
e directions tilted at angles of +/-45 degrees with respect to the collisio
n axis. The electron temperature could be significantly lower than the plas
ma mean temperature, by at most similar to 50%. The significance of our res
ults for the interpretation of X-ray observations is briefly discussed.