TY - JOUR

T1 - Proof of the identity between the depletion layer thickness and half the average span for an arbitrary polymer chain

AU - Wang, Yanwei

AU - Peters, Günther H.J.

AU - Hansen, Flemming Yssing

AU - Hassager, Ole

PY - 2008

Y1 - 2008

N2 - The confinement analysis from bulk structure (CABS) approach [Y. Wang , J. Chem. Phys. 128, 124904 (2008)] is extended to determine the depletion profiles of dilute polymer solutions confined to a slit or near an inert wall. We show that the entire spatial density distributions of any reference point in the polymer chain (such as the center of mass, middle segment, and end segments) can be computed as a function of the confinement size solely based on a single sampling of the configuration space of a polymer chain in bulk. Through a simple analysis based on the CABS approach in the case of a single wall, we prove rigorously that (i) the depletion layer thickness delta is the same no matter which reference point is used to describe the depletion profile and (ii) the value of delta equals half the average span (the mean projection onto a line) of the macromolecule in free solution. Both results hold not only for ideal polymers, as has been noticed before, but also for polymers regardless of details in molecular architecture and configuration statistics. (C) American Institute of Physics.

AB - The confinement analysis from bulk structure (CABS) approach [Y. Wang , J. Chem. Phys. 128, 124904 (2008)] is extended to determine the depletion profiles of dilute polymer solutions confined to a slit or near an inert wall. We show that the entire spatial density distributions of any reference point in the polymer chain (such as the center of mass, middle segment, and end segments) can be computed as a function of the confinement size solely based on a single sampling of the configuration space of a polymer chain in bulk. Through a simple analysis based on the CABS approach in the case of a single wall, we prove rigorously that (i) the depletion layer thickness delta is the same no matter which reference point is used to describe the depletion profile and (ii) the value of delta equals half the average span (the mean projection onto a line) of the macromolecule in free solution. Both results hold not only for ideal polymers, as has been noticed before, but also for polymers regardless of details in molecular architecture and configuration statistics. (C) American Institute of Physics.

U2 - 10.1063/1.2970935

DO - 10.1063/1.2970935

M3 - Journal article

C2 - 19044801

SN - 0021-9606

VL - 129

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 7

M1 - 074904

ER -