We investigate the chain conformation of ring polymers confined to a cylindrical nanochannel using both theoretical analysis and three-dimensional Langevin dynamics simulations. We predict that the longitudinal size of a ring polymer scales with the chain length and the diameter of the channel in the same manner as that for linear chains based on scaling analysis and Flory-type theory. Moreover...

2014 We consider three types of critical points associated with the segregation of long, flexible, polymer chains : 1) one polymer + poor solvent, 2) two molten polymer species without solvent, 3) two dilute polymer species in a good solvent. For all these cases the Flory Huggins theory (or its extensions) would lead to a classical (mean field) type of critical behaviour. We analyse the critica...

Muriel Giansily-Blaizot1, Laurie Flory-Pigagniol1, Remi Favier2, Roula A. Farah3, Isabelle Martin-Toutain4, ElisabethVerdy5, Jean-Francois Schved1 1University Hospital Saint Eloi, Laboratory of Haematology, Montpellier, France; 2AP_HP Hospital Armand Trousseau, Laboratory of Haematology, Paris, France; 3Rizk Hospital, Department of Pediatrics, Beirut, Lebanon; 4AP_HP Pitie Salpetriere, Laborato...

Simplified mean field theory for the phase behaviour of polyelectrolytes in solution is described in detail. It can be viewed as the polyelectrolyte analogue of Flory-Huggins theory. A basic nlodel is analyzed, then extended to look at the effects of multivalent ions (specifically divalent coions), of distinguishable counterions, and of an ionization equilibriunl between counterions and polyele...

The pressure dependence of the Flory Huggins interaction parameter of two binary polymer blends was investigated by small angle neutron scattering (SANS). We studied the polymer blends deutero PoIystyrene / Polyvinylmethylether (d PS / PVME) and deutero Polystyrene / Polyphenylmethylsiloxane (d PS / PPMS), exhibiting decomposition at high and at low temperatures, respectiveIy. In both cases the...

The occurrence of gelation and the existence of mass-conserving solutions to the continuous coagulation-fragmentation equation are investigated under various assumptions on the coagulation and fragmentation rates, thereby completing the already known results. A non-uniqueness result is also established and a connection to the modified coagulation model of Flory is also made.