  In this paper we present a Bardeen solution surrounded by a cloud of strings
fluid. We show how this model has the same event horizon characteristic as the
Bardeen solution, however, the parameter of the strings make the solution
singular at the origin. We also analyze the solution from a thermodynamic point
of view. We calculate the system's state function, enthalpy; the temperature;
and the other potentials; as a function of entropy. By analyzing the
thermodynamic coefficients, we show that the solution presents three distinct
phases, two of which are stable and one unstable. These three phases could be
best visualized using a plot of Gibbs free energy versus temperature. In the
end, we calculate the critical exponents and find that they are the same as
those found in Van der Walls theory.
