A cornerstone of modern polymer physics is the ‘Flory ideality hypothesis’ which states that a chain in a polymer melt adopts ‘ideal’ random-walk-like conformations. Here we revisit theoretically and numerically this pivotal assumption and demonstrate that there are noticeable deviations from ideality. The deviations come from the interplay of chain connectivity and the incompressibility of the...

Dynamic clustering associated with self-assembly in many complex fluids can qualitatively alter the shape of phase boundaries and produce large changes in the scale of critical fluctuations that are difficult to comprehend within the existing framework of theories of critical phenomena for nonassociating fluids. In order to elucidate the scattering and critical properties of associating fluids,...

We introduce in this paper two dimensional lattice models whose continuum limit belongs to the N = 2 series. The first kind of model is integrable and obtained through a geometrical reformulation, generalizing results known in the k = 1 case, of the Γ k vertex models (based on the quantum algebra U q sl(2) and representation of spin j = k/2). We demonstrate in particular that at the N = 2 point...

– The Flory Huggins equation of state for monodisperse polymers can be turned into a density functional by adding a square gradient term, with a coefficient fixed by appeal to RPA (random phase approximation). We present instead a model nonlocal functional in which each polymer is replaced by a deterministic, penetrable particle of known shape. This reproduces the RPA and square gradient theori...

Effectiveness of furfural as an organic inhibitor in 5 percent hydrochloric acid which is used in acid pickling of steel was evaluated. Lungmuir, Frumkin and Flory-Huggins isotherms [1, 2] were used to determine the parameters of effective adsorption, free energy and entropy of adsorption. Furfural indicated an inhibition less than 17 percent in concentrations of 0.001 mole per liter for a dura...

2014 We study the equilibrium structure of isolated (diluted) three dimensional percolation clusters and site-diluted tethered membranes using a molecular dynamics simulation. We find that the percolation clusters swell upon dilution and the fractal dimension changes from 2.5 to about 2, in agreement with recent Flory-type theories and neutron scattering experiments on gelation clusters. The eq...