Charged solitons in branched conducting polymers
D. Babajanov, H. Matyoqubov, and D. Matrasulov
TL;DR
This paper models the movement of charged solitons in branched conducting polymers using a sine-Gordon equation framework on graphs, revealing conditions for ballistic charge transport and scattering at branch points.
Contribution
It introduces a novel effective model employing sine-Gordon equations on metric graphs to analyze charge transport in branched polymers, highlighting conditions for ballistic movement.
Findings
Identifies conditions for ballistic charge transport.
Analyzes scattering of charge carriers at polymer branches.
Provides a mathematical framework for soliton dynamics in branched structures.
Abstract
We consider dynamics of charged solitons in branched conducting polymers. An effective model based on the sine-Gordon equation on metric graphs is used for computing the charge transport and scattering of charge carriers at the polymer branching points. Condition for the ballistic charge carrier transport is revealed.
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