Density-Selected Topological Pathways in the Melting of Single-Particle-Thick Stripes
Abstract
The melting of stripe-forming systems involves changes in connectivity that are not fully captured by conventional structural and orientational descriptors. We investigate a two-dimensional model with competing interactions whose low-temperature phase consists of one-particle-thick stripes. Molecular dynamics simulations along seven heating isochores are analyzed using thermodynamic, orientational, dynamical, and graph-based observables. Heating produces a multistage reconstruction in which the loss of stripe alignment and the reorganization of filament connectivity occur over distinct temperature ranges. Density controls whether the disordered filaments fragment into finite polymer-like clusters or remain joined in a dynamically fluid, system-spanning network. The topological observables distinguish these outcomes, which are not resolved by the thermodynamic and orientational responses alone. Thus, the same ordered stripe microphase can melt into topologically distinct fluids selected by density.
Versions
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BibTeX
@misc{bordin2026densityselected,
title = {{Density-Selected Topological Pathways in the Melting of Single-Particle-Thick Stripes}},
author = {José Rafael Bordin},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.11880},
eprint = {2608.11880},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.11880},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Density-Selected Topological Pathways in the Melting of Single-Particle-Thick Stripes
AU - José Rafael Bordin
PY - 2026
DA - 2026/08/12
PB - arXiv
DO - 10.48550/arxiv.2608.11880
UR - https://arxiv.org/abs/2608.11880
AB - The melting of stripe-forming systems involves changes in connectivity that are not fully captured by conventional structural and orientational descriptors. We investigate a two-dimensional model with competing interactions whose low-temperature phase consists of one-particle-thick stripes. Molecular dynamics simulations along seven heating isochores are analyzed using thermodynamic, orientational, dynamical, and graph-based observables. Heating produces a multistage reconstruction in which the loss of stripe alignment and the reorganization of filament connectivity occur over distinct temperature ranges. Density controls whether the disordered filaments fragment into finite polymer-like clusters or remain joined in a dynamically fluid, system-spanning network. The topological observables distinguish these outcomes, which are not resolved by the thermodynamic and orientational responses alone. Thus, the same ordered stripe microphase can melt into topologically distinct fluids selected by density.
ER -