title: Limiting law excess sum rule for polyelectrolytes.
abstract: We revisit the mean-field limiting law screening excess sum rule that holds for rodlike polyelectrolytes. We present an efficient derivation of this law that clarifies its region of applicability: The law holds in the limit of small polymer radius, measured relative to the Debye screening length. From the limiting law, we determine the individual ion excess values for single-salt electrolytes. We also consider the mean-field excess sum away from the limiting region, and we relate this quantity to the osmotic pressure of a dilute polyelectrolyte solution. Finally, we consider numerical simulations of many-body polymer-electrolyte solutions. We conclude that the limiting law often accurately describes the screening of physical charged polymers of interest, such as extended DNA.
authors: Materials Department, University of California, Santa Barbara, California 93106, USA.
authors: Jonathan
authors: J
authors: Landy
authors: Department of Physics, POSTECH, Pohang 790-784, South Korea and Asia-Pacific Center for Theoretical Physics, Pohang 790-784, South Korea.
authors: YongJin
authors: Y
authors: Lee
authors: Department of Physics, POSTECH, Pohang 790-784, South Korea and Asia-Pacific Center for Theoretical Physics, Pohang 790-784, South Korea.
authors: YongSeok
authors: Y
authors: Jho