  In this paper, we investigate the dynamics and the evolution of the scale
factor of a probe Dp-brane which move in the background of source Dp-branes.
Action of the probe brane is described by the Born-Infeld action and the
interaction with the background R-R field. When the probe brane moves away from
the source branes, it expands by power law, whose index depends on the
dimension of the brane. If the energy density of the gauge field on the brane
is subdominant, the expansion is decelerating irrespective of the dimension of
the brane. On the other hand, when the probe brane is a Nambu-Goto brane, the
energy density of the gauge field can be dominant, in which case accelerating
expansion occurs for $p \leq 4$. The accelerating expansion stops when the
brane has expanded sufficiently so that the energy density of the gauge field
become subdominant.
