Topological Theory of Entanglement: A Polymer Chain and a Fixed Barrier. II. Frictional Coefficient of the Center of Mass

1974 ◽  
Vol 37 (5) ◽  
pp. 1423-1428 ◽  
Author(s):  
Kazuyoshi Iwata
Keyword(s):  
Polymer Chain ◽  
Center Of Mass ◽  
Frictional Coefficient ◽  
Topological Theory

Dynamic Nanofishing of Single Polymer Chains

2009 ◽  
Vol 82 (2) ◽  
pp. 271-282
Author(s):  
Ken Nakajima ◽  
Toshio Nishi
Keyword(s):  
Polymer Chain ◽  
Single Molecule ◽  
Structural Information ◽  
Persistence Length ◽  
Frictional Coefficient ◽  
Polymer Chains ◽  
Contour Length ◽  
Single Polymer Chain ◽  
Afm Cantilever ◽  
Solvent Molecules

Abstract Single molecule force spectroscopy (SMFS) realized by atomic force microscope (AFM) on a single polymer chain (static nanofishing), where a polymer chain is picked up and pulled at its chemically modified terminals, only gives structural information such as persistence length and contour length. Beyond this technique, dynamic nanofishing, where an AFM cantilever is imposed on the forced oscillation at its resonant frequency (∼10 kHz), enables us to investigate more fruitful information. The method gave extension-dependent changes of entropic elasticity and frictional coefficient with solvent molecules for mono-disperse living-polymerized polystyrene (PS). The solvent temperature dependence revealed that the frictional coefficient could be correlated with macroscopic “intrinsic viscosity.” Another novel technique, nanofishing at fast pulling rate (fast nanofishing), exhibited internal entanglement of a single PS chain and its subsequent relaxation.

The Center of Mass Influences Normal Attentional Orienting

1994 ◽  
Author(s):  
Marcia Grabowecky ◽  
Lynn C. Robertson ◽  
Anne Treisman
Keyword(s):  
Center Of Mass ◽  
Attentional Orienting

Conformation of Polymer Chain in the Bulk

1976 ◽  
Vol 1 ◽  
pp. 112-121
Author(s):  
J. P. Cotton ◽  
D. Decker ◽  
H. Benoit ◽  
B. Farnoux ◽  
J. Higgins ◽  
...  
Keyword(s):  
Polymer Chain

Undulations of a Straight Polymer Chain Embedded in a Membrane

1996 ◽  
Vol 6 (12) ◽  
pp. 1743-1757
Author(s):  
M. Singh-Zocchi ◽  
M. M. Kozlov ◽  
W. Helfrich
Keyword(s):  
Polymer Chain

Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

2020 ◽  
Vol 23 (3) ◽  
pp. 306-311
Author(s):  
Yu. Kurochkin ◽  
Dz. Shoukavy ◽  
I. Boyarina
Keyword(s):  
Constant Curvature ◽  
Jacobi Equation ◽  
Separation Of Variables ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Relative Distance ◽  
Dimensional Sphere ◽  
Body System ◽  
Spaces Of Constant Curvature ◽  
Hamilton Jacobi Equation

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

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