  We report many different nano-structures which are formed when model
nano-particles of different sizes (diameter {\sigma} n ) are allowed to
aggregate in a background matrix of semi-flexible self assembled polymeric worm
like micellar chains. The different nano-structures are formed by the dynamical
arrest of phase-separating mixtures of micellar monomers and nano-particles.
The different mor- phologies obtained are the result of an interplay of the
available free volume, the elastic energy of deformation of polymers, the
density (chemical potential) of the nano-particles in the polymer ma- trix and,
of course, the ratio of the size of self assembling nano-particles and self
avoidance diameter of polymeric chains. We have used a hybrid semi-grand
canonical Monte Carlo simulation scheme to obtain the (non-equilibrium) phase
diagram of the self-assembled nano-structures. We observe rod-like structures
of nano-particles which get self assembled in the gaps between the nematically
ordered chains as well as percolating gel-like network of conjoined nanotubes.
We also find a totally unexpected interlocked crystalline phase of
nano-particles and monomers, in which each crytal plane of nanoparticles is
separated by planes of perfectly organized polymer chains. We identified the
con- dition which leads to such interlocked crystal structure. We suggest
experimental possibilities of how the results presented in this paper could be
used to obtain different nano-structures in the lab.
