3 papers
cond-mat.soft2025
Collective Dynamics and Topological Locking in Knotted Ring Polymers: A Novel Phenomenological Theory
Anna Lappala
We present a novel phenomenological theory describing how topological constraints in prime-knot ring polymers induce collective (cooperative) modes of motion. In low-complexity kno…
cond-mat.soft2022
Cooperative Motions and Topology-Driven Dynamical Arrest in Prime Knots
Hyo Jung Park, Anna Lappala
Knots are entangled structures that cannot be untangled without a cut. Topological stability of knots is one of the many examples of their important properties that can be used in…
cond-mat.soft2015
Polymer glass transition occurs at the marginal rigidity point with connectivity z*=4
Anna Lappala, Alessio Zaccone, Eugene M. Terentjev
We re-examine the physical origin of the polymer glass transition from the point of view of marginal rigidity, which is achieved above a certain number of intermolecular contacts.…