Stiffness of polymer chains
نویسنده
چکیده
A formula is derived for stiffness of a polymer chain in terms of the distribution function of end-to-end vectors. This relationship is applied to calculate the stiffness of Gaussian chains (neutral and carrying electric charges at the ends), chains modeled as self-avoiding random walks, as well as semi-flexible (worm-like and Dirac) chains. The effects of persistence length and Bjerrum’s length on the chain stiffness are analyzed numerically. An explicit expression is developed for the radial distribution function of a chain with the maximum stiffness. Key-words: Elasticity (theory), Molecular networks (Theory)
منابع مشابه
On the Pseudo Phase Diagram of Single Semi-Flexible Polymer Chains: A Flat-Histogram Monte Carlo Study
Abstract: Local stiffness of polymer chains is instrumental in all structure formation processes of polymers, from crystallization of synthetic polymers to protein folding and DNA compactification. We present Stochastic Approximation Monte Carlo simulations—a type of flat-histogram Monte Carlo method—determining the density of states of a model class of single semi-flexible polymer chains, and,...
متن کاملDetection of Polymer Brushes developed via Single Crystal Growth
Single crystals consisting various surface morphologies and epitaxial structures were applied to investigate the effect of other phase regions in the vicinity of a given tethered chains-covered area having a certain molecular weight of amorphous brushes. The designed experiments demonstrated that regardless of the type of surface morphology (patterned and especial mixed-brushes, homo and co...
متن کاملEffect of chain stiffness and temperature on the dynamics and microstructure of crystallizable bead-spring polymer melts.
We contrast the dynamics in model unentangled polymer melts of chains of three different stiffnesses: flexible, intermediate, and rodlike. Flexible and rodlike chains, which readily solidify into close-packed crystals (respectively, with randomly oriented and nematically aligned chains), display simple melt dynamics with Arrhenius temperature dependence and a discontinuous change upon solidific...
متن کاملPredicting the Flory-Huggins χ Parameter for Polymers with Stiffness Mismatch from Molecular Dynamics Simulations
The Flory–Huggins χ parameter describes the excess free energy of mixing and governs phase behavior for polymer blends and block copolymers. For chemically-distinct nonpolar polymers, the value of χ is dominated by the mismatch in cohesive energy densities of the monomers. For blends of chemically-similar polymers, the entropic portion of χ, arising from non-ideal local packing, becomes more si...
متن کاملColloidal Analogues of Charged and Uncharged Polymer Chains with Tunable Stiffness**
Yanking the chain: a general method for the preparation of colloidal analogues of polymer chains was developed. The flexibility of these chains can be tuned by applying electric fields in combination with their subjection to simple linkage-forming procedures.
متن کامل