6533b82bfe1ef96bd128d70c

RESEARCH PRODUCT

How to define variation of physical properties normal to an undulating one-dimensional object.

Hsiao-ping HsuKurt BinderWolfgang Paul

subject

Length scalePhysicsbusiness.industryPolymersStructure (category theory)General Physics and AstronomyStiffnessFOS: Physical sciencesGeometryCondensed Matter - Soft Condensed MatterObject (computer science)Measure (mathematics)VortexCondensed Matter::Soft Condensed MatterPhysical PhenomenaOpticsModels ChemicalLine (geometry)medicineSoft Condensed Matter (cond-mat.soft)Computer Simulationmedicine.symptomPersistence (discontinuity)business

description

One-dimensional flexible objects are abundant in physics, from polymers to vortex lines to defect lines and many more. These objects structure their environment and it is natural to assume that the influence these objects exert on their environment depends on the distance from the line-object. But how should this be defined? We argue here that there is an intrinsic length scale along the undulating line that is a measure of its "stiffness" (i.e., orientational persistence), which yields a natural way of defining the variation of physical properties normal to the undulating line. We exemplify how this normal variation can be determined from a computer simulation for the case of a so-called bottle-brush polymer, where side chains are grafted onto a flexible backbone.

10.1103/physrevlett.103.198301https://pubmed.ncbi.nlm.nih.gov/20365959