Bundle formation in parallel aligned polymers with competing interactions
Sandipan Dutta, P. Benetatos, and Y.S. Jho

TL;DR
This paper proposes a general mechanism explaining how finite-sized polymer bundles form in biological and soft matter systems due to the competition between short-range attractions and long-range repulsions, breaking translational symmetry.
Contribution
It introduces a criterion for finite-sized bundle formation and phase separation in parallel aligned polymers with competing interactions.
Findings
Derived a criterion for finite-sized bundle formation
Identified conditions for macroscopic phase separation
Explained bundle formation as breaking of translational invariance
Abstract
Aggregation of like-charged polymers is widely observed in biological and soft matter systems. In many systems, bundles are formed when a short-range attraction of diverse physical origin like charge-bridging, hydrogen-bonding or hydrophobic interaction, overcomes the longer- range charge repulsion. In this Letter, we present a general mechanism of bundle formation in these systems as the breaking of the translational invariance in parallel aligned polymers with competing interactions of this type. We derive a criterion for finite-sized bundle formation as well as for macroscopic phase separation (formation of infinite bundles).
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