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Motivated by single molecule experiments on biopolymers we exploreequilibrium morphologies and force-extension behavior of copolymers withhydrophobic segments using Langevin dynamics simulations. We find that theinterplay between different length scales, namely, the persistence length$\ell_{p}$, and the disorder correlation length $p$, in addition to thefraction of hydrophobic patches $f$ play a major role in altering theequilibrium morphologies and mechanical response. In particular, we show aplethora of equilibrium morphologies for this system, \textit{e.g.} core-shell,looped (with hybridised hydrophilic-hydrophobic sections), and extended coilsas a function of these parameters. A competition of bending energy andhybridisation energies between two types of beads determines the equilibriummorphology. Further, mechanical properties of such polymer architectures arecrucially dependent on their native conformations, and in turn on the disorderrealisation along the chain backbone. Thus, for flexible chains, a globule toextended coil transition is effected via a tensile force for all disorderrealisations. However, the exact nature of the force-extension curves aredifferent for the different disorder realisations. In contrast, we find thatforce-extension behavior of semi-flexible chains with different equilibriumconfigurations \textit{e.g.} core-shell, looped, \textit{etc.} reveal a cascadeof force-induced conformational transitions.

Equilibrium morphologies and force extension behavior for polymers with hydrophobic patches: Role of quenched disorder