ABSTRACT – Flory’s model of a polymer deals with three characteristics lengths, namely: the monomer’s length, the chain’s length and the length of the radius of gyration. A first analogy can be established between this model and that of the electrical conductivity of good metals at the room temperature, by taking the Compton’s length, the electron mean free path and the Fermi’s length. A second...

In a recent laser light-scattering study on the “globule-to-coil” transition (melting) of a single poly(Nisopropylacrylamide) (PNIPAM) linear chain in water (the solution is in the stable one-phase region at all temperatures), we observed that at the initial melting stage the ratio of the hydrodynamic radius to the radius of gyration underwent an unexpected maximum s,1.61d which is even higher ...

The properties of ideal tri-functional dendrimers with forty-five, ninety-three and one hundred eighty-nine branches are investigated. Three methods employed to calculate the mean-square radius gyration, g-ratios, asphericity, shape parameters form factor. These include a Kirchhoff matrix eigenvalue technique, graph theory approach Benhamou et al. (2004), Monte Carlo simulations using growth al...

The characterization of many objects involves the determination of a basic set of particle size measures derived mainly from scattering and transport property measurements. For polymers, these basic properties include the radius of gyration Rg, hydrodynamic radius Rh, intrinsic viscosity [η], and sedimentation coefficient S, and for conductive particles, the electric polarizability tensor αE an...

We demonstrate a variant of the Bond Fluctuation lattice Monte Carlo model in which moves through cis conformations are forbidden. Ring polymers in this model have a conserved quantity that amounts to a topological linking number. Increased linking number reduces the radius of gyration mildly. A linking number of order 0.2 per bond leads to an eight-percent reduction of the radius for 128-bond ...

The TE72 mode in cylindrical waveguide has its group velocity nearly equal to that of the TE11 mode when the operating frequency of the former is seven times of that of the latter. Thus the two modes have almost the same resonant magnetic field, and coherent radiation can be generated at the 7th harmonic when the fundamental energizes a gyrating electron beam by the cyclotron autoresonance inte...

– The coil-globule transition of an isolated polymer has been well established to be a second-order phase transition described by a standard tricritical O(0) field theory. We provide compelling evidence from Monte Carlo simulations in four dimensions, where mean-field theory should apply, that the approach to this (tri)critical point is dominated by the build-up of first-order–like singularitie...

In response to the coronavirus disease 2019 (COVID-19) pandemic, governments have encouraged and ordered citizens practice social distancing, particularly by working studying at home. Intuitively, only a subset of people ability remote work. However, there has been little research on disparity mobility adaptation across different income groups in US cities during pandemic. The authors worked fi...

Translocation of a polymer out of curved surface or membrane is studied via mean first passage time approach. Membrane curvature gives rise to a constraint on polymer conformation, which effectively drives the polymer to the outside of membrane where the available volume of polymer conformational fluctuation is larger. Considering a polymer release out of spherical vesicle, polymer translocatio...