Aggregation and structural phase transitions of semiflexible polymer bundles: A braided circuit topology approach

Jonas Berx; Alireza Mashaghi

doi:10.1016/j.isci.2024.108995

Aggregation and structural phase transitions of semiflexible polymer bundles: A braided circuit topology approach

iScience. 2024 Jan 26;27(3):108995. doi: 10.1016/j.isci.2024.108995. eCollection 2024 Mar 15.

Authors

Jonas Berx^{1

2}, Alireza Mashaghi^{1

2}

Affiliations

¹ Medical Systems Biophysics and Bioengineering, Leiden Academic Centre for Drug Research, Leiden University, Leiden 2333CC, the Netherlands.
² Laboratory for Interdisciplinary Medical Innovations, Centre for Interdisciplinary Genome Research, Leiden University, Leiden 2333CC, the Netherlands.

Abstract

We present a braided circuit topology framework for investigating topology and structural phase transitions in aggregates of semiflexible polymers. In the conventional approach to circuit topology, which specifically applies to single isolated folded linear chains, the number and arrangement of contacts within the circuitry of a folded chain give rise to increasingly complex fold topologies. Another avenue for achieving complexity is through the interaction and entanglement of two or more folded linear chains. The braided circuit topology approach describes the topology of such multiple-chain systems and offers topological measures such as writhe, complexity, braid length, and isotopy class. This extension of circuit topology to multichains reveals the interplay between collapse, aggregation, and entanglement. In this work, we show that circuit topological motif fractions are ideally suited order parameters to characterize structural phase transitions in entangled systems that can detect structural re-ordering other measures cannot.

Keywords: Interdisciplinary physics; polymers.