{
  "abstract": "Multi-cyclic (MC) polymers, in which multiple ring units are connected within a single molecule, are expected to exhibit properties distinct from those of linear and trivial ring polymers. Here, we performed graph-theory-based bead-spring model calculations for a series of unentangled MC polystyrene (MC-PS) melts with different chain connectivities and compared the results with previously reported experimental linear viscoelastic data. This calculation allows for the comparison of linear viscoelasticity among different MC molecules using a single, architecture-independent time-scale. The distribution and multiplicity of the eigenvalues λ p at mode number p , which determine the relaxation times through τ p ∝ 1/ λ p , of the MC molecules depends strongly on the architecture and its overall symmetry. In addition, the model reasonably captured the experimental linear rheological behavior of the MC-PS melts, including the complex modulus G * ( ω ) and the zero-shear viscosity η 0 , although the experimental data have modest differences. Furthermore, we found that the architecture dependence of η 0 can be semi-quantitatively organized using the squared radius of gyration calculated from the bead-spring model, R g,BS 2 , rather than relying only on the number of constrained segments, n cs , which has been used as an empirical architectural parameter in previous studies. This descriptor also distinguishes MC architectures with the same n cs but different rheological responses, demonstrating that chain connectivity provides a physically grounded basis for describing the linear viscoelasticity of unentangled MC polymer melts.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Organic Materials Science",
    "Yamagata University",
    "Advanced Manufacturing Technology Institute, Kanazawa University",
    "School of Chemical Engineering and Light Industry",
    "Guangdong University of Technology"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Yuya Doi",
      "orcid": "0000-0001-8029-7649"
    },
    {
      "affs": [
        2
      ],
      "name": "Takeshi Sato"
    },
    {
      "affs": [
        3,
        4
      ],
      "name": "Zhi-Chao Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/68347xdak956g.bib",
  "cited_by": 0,
  "doi": "10.26434/chemrxiv.15007177/v2",
  "fulltext_url": null,
  "id": "68347xdak956g",
  "issns": [],
  "landing_url": "https://chemrxiv.org/doi/full/10.26434/chemrxiv.15007177/v2",
  "language": null,
  "licence": "CC-BY-NC-ND",
  "licence_label": "CC BY-NC-ND",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "1507|Rheology and Fluid Dynamics Studies"
    ]
  ],
  "openalex": "W7223314088",
  "pdf_url": "https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15007177/v2",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": "American Chemical Society (ACS)",
  "ris": "https://research.draconitic.com/paper/68347xdak956g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:26Z",
      "native_id": "10.26434/chemrxiv.15007177",
      "source": "chemrxiv",
      "url": "https://chemrxiv.org/doi/full/10.26434/chemrxiv.15007177/v2"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "source:chemrxiv",
      "subfield": "general"
    }
  ],
  "title": "Bead-Spring Model Analysis of Linear Viscoelasticity for Unentangled Multi-Cyclic Polystyrene Melts",
  "title_text": "Bead-Spring Model Analysis of Linear Viscoelasticity for Unentangled Multi-Cyclic Polystyrene Melts",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:26Z",
  "url": "https://research.draconitic.com/paper/68347xdak956g",
  "venue": "ChemRxiv",
  "versions": []
}