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We study the linear stability with respect to lateral perturbations of freesurface films of polymer mixtures on solid substrates. The study focuses on thestability properties of the stratified and homogeneous steady film statesstudied in Part I [U. Thiele, S. Madruga and L. Frastia, Phys. Fluids 19,122106 (2007)]. To this aim, the linearized bulk equations and boundaryequations are solved using continuation techniques for several different casesof energetic bias at the surfaces, corresponding to linear and quadraticsolutal Marangoni effects.  For purely diffusive transport, an increase in film thickness eitherexponentially decreases the lateral instability or entirely stabilizes thefilm. Including convective transport leads to a further destabilization ascompared to the purely diffusive case. In some cases the inclusion ofconvective transport and the related widening of the range of available filmconfigurations (it is then able to change its surface profile) change thestability behavior qualitatively.  We furthermore present results regarding the dependence of the instability onseveral other parameters, namely, the Reynolds number, the Surface tensionnumber and the ratio of the typical velocities of convective and diffusivetransport.

Decomposition driven interface evolution for layers of binary mixtures: {II}. Influence of convective transport on linear stability