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Attractive and repulsive polymer-mediated forces between scale-free surfaces

Author(s)
Kantor, Yacov; Kardar, Mehran
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Abstract
We consider forces acting on objects immersed in, or attached to, long fluctuating polymers. The confinement of the polymer by the obstacles results in polymer-mediated forces that can be repulsive (due to loss of entropy) or attractive (if some or all surfaces are covered by adsorbing layers). The strength and sign of the force in general depends on the detailed shape and adsorption properties of the obstacles but assumes simple universal forms if characteristic length scales associated with the objects are large. This occurs for scale-free shapes (such as a flat plate, straight wire, or cone) when the polymer is repelled by the obstacles or is marginally attracted to it (close to the depinning transition where the absorption length is infinite). In such cases, the separation h between obstacles is the only relevant macroscopic length scale, and the polymer-mediated force equals Ak_{B}T/h, where T is temperature. The amplitude A is akin to a critical exponent, depending only on geometry and universality of the polymer system. The value of A, which we compute for simple geometries and ideal polymers, can be positive or negative. Remarkably, we find A=0 for ideal polymers at the adsorption transition point, irrespective of shapes of the obstacles, i.e., at this special point there is no polymer-mediated force between obstacles (scale free or not).
Date issued
2017-08
URI
http://hdl.handle.net/1721.1/114530
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review E
Publisher
American Physical Society
Citation
Kantor, Yacov and Mehran Kardar. "Attractive and repulsive polymer-mediated forces between scale-free surfaces." Physical Review E 96, 2 (August 2017): 022148 © 2017 American Physical Society
Version: Final published version
ISSN
2470-0045
2470-0053

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