Excluded Volume Effects of Branched Molecules

2016/06/13 by Kazumi Suematsu, Suematsu, Kazumi · 2 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Electrostatics and Colloid Interactions #FOS: Physical sciences #Scientific Research and Discoveries #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1606.03929

openalex publication_date 2016/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The expansion factor, α²=⟨ s_N²⟩/⟨ s_N²⟩₀, of branched molecules in the melt state is estimated. The equilibrium expansion factor is determined as the point in which all the inhomogeneity terms of the osmotic potential, ΔG_osmotic, go to zero. Numerical analysis shows that log α=0.082 log N+const. for 10³≤ N≤ 10⁷, giving α≅ const. N^1/12 so that ⟨ s_N²⟩^1/2∝ N^1/3 which coincides with the value for the critical packing density.

Citations

• Radius of Gyration of Randomly Branched Molecules

Cited by

• Branched Polymers with Excluded Volume Effects/ Relationship between Polymer Dimensions and Generation Number
• Segment Distribution around the Center of Gravity of Branched Polymers

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