Toward a Field Theoretical Description of Topologically Linked Polymers
F. Ferrari (U. of Trento), I. Lazzizzera (U. of Trento)
TL;DR
This paper develops a field theoretical model to analyze the statistical mechanics of topologically linked polymers, exploring topological interactions and potential for more complex invariants within Edwards' framework.
Contribution
It introduces a novel field theoretical approach to describe linked polymers and discusses incorporating advanced topological invariants beyond the Gauss linking number.
Findings
Topological interactions studied in one-loop approximation
Framework for including complex link invariants
Potential applications in polymer physics
Abstract
In this work a field theoretical model is constructed to describe the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical approach of Edwards. As an application, the effects of the topological interactions are studied in the one loop approximation. A natural way to include in the treatment also more sophisticated link invariants than the Gauss linking number is outlined.
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Taxonomy
TopicsTheoretical and Computational Physics · Topological and Geometric Data Analysis · Force Microscopy Techniques and Applications