Aggregation and structural phase transitions of semiflexible polymer bundles: a braided circuit topology approach
Publikation: Working paper › Preprint › Forskning
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Aggregation and structural phase transitions of semiflexible polymer bundles : a braided circuit topology approach. / Berx, Jonas; Mashaghi, Alireza.
2023.Publikation: Working paper › Preprint › Forskning
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TY - UNPB
T1 - Aggregation and structural phase transitions of semiflexible polymer bundles
T2 - a braided circuit topology approach
AU - Berx, Jonas
AU - Mashaghi, Alireza
N1 - 8 pages, 8 figures + Supplemental Material
PY - 2023/8/28
Y1 - 2023/8/28
N2 - 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. We show that circuit topological motif fractions are ideally suited order parameters to characterise structural phase transitions in entangled systems.
AB - 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. We show that circuit topological motif fractions are ideally suited order parameters to characterise structural phase transitions in entangled systems.
KW - cond-mat.soft
KW - math.GT
M3 - Preprint
BT - Aggregation and structural phase transitions of semiflexible polymer bundles
ER -
ID: 371847902