Sharif Digital Repository

In this thesis, we investigate the effects of topological constraints in catenanes composed of interlinked ring polymers on their size in a good solvent as well as on the location of their θ-point when the solvent quality is worsened. We mainly focus on poly[n]catenanes consisting of n ring polymers each of length m interlocked in a linear fashion. We study the scaling of the poly[n]catenane’s radius of gyration assuming that R ~ m^μ n^ν with µ = 16/25 and ν = 3/5 in a good solvent, with these values of µ and ν obtained by means of a Flory-like theory and further confirmed by numerical simulations. We show that individual rings within catenanes feature a surplus swelling due to the presence... 

Achievements in the synthesis of polycatenanes promise new opportunities for having and designing new smart materials. However, the out-of-equilibrium dynamic of polycate-nane is largely unstudied. This research studies the interplay of poly[2]catenane topology and hydrodynamic interactions in pure shear flow using the MPCD method. To question the effect of topological interaction, we simulated systems with bonded rings alongside systems with poly[2]catenane. In order to investigate the effect of hydrodynamic interaction, each system was examined using the random solvent method as well. Our study shows the poly[2]catenane structure can control the shear and stress by twist and rotation...