English

Topological versus rheological entanglement length in primitive path analysis protocols

Soft Condensed Matter 2013-05-30 v1

Abstract

Primitive path analysis algorithms are now routinely employed to analyze entanglements in computer simulations of polymeric systems, but different analysis protocols result in different estimates of the entanglement length, N_e. Here we argue that standard PPA measures the rheological entanglement length, typically employed by tube models and relevant to quantitative comparisons with experiment, while codes like Z or CReTA also determine the topological entanglement length. For loosely entangled systems, a simple analogy between between phantom networks and the mesh of entangled primitive paths suggests a factor of two between the two numbers. This result is in excellent agreement with reported values for poly-ethylene, poly-butadiene and bead-spring polymer melts.

Cite

@article{arxiv.1111.4895,
  title  = {Topological versus rheological entanglement length in primitive path analysis protocols},
  author = {Ralf Everaers},
  journal= {arXiv preprint arXiv:1111.4895},
  year   = {2013}
}

Comments

3 pages, no figures

R2 v1 2026-06-21T19:39:12.802Z