  We study the thermodynamics of AdS-Schwarzschild black hole in the presence
of an external string cloud. We observe that, at any temperature, the black
hole configuration is stable with non-zero entropy. We further notice that,
when the value of the curvature constant equals to one, if the string cloud
density has less than a critical value, within a certain range of temperature
three black holes configuration exist. One of these black holes is unstable and
other two are stable. At a critical temperature, a transition between these two
stable black holes takes place which leads us to conclude that the bound state
of quark and anti-quark pairs may not exist. By studying the corresponding dual
gauge theory we confirm that the instability of the bound state of quark and
anti-quark pair in the dual gauge theory.
