Critical Nature of the Size Exponent of Polymers

2024/03/01 by Kazumi Suematsu, Suematsu, Kazumi, Haruo Ogura +5
Chemical Engineering · Materials Science · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Polymer crystallization and properties #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.2403.00356

openalex publication_date 2024/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On the basis of the thermodynamic theory of the excluded volume effects, we show that the size exponent varies abruptly, depending on the change of the segment concentration. For linear polymers, the exponent changes discontinuously from ν=3/5 for the isolated system (ϕ=0) in good solvents to ν=1/2 in the finite concentration (0<ϕ≤1), while for branched polymers having ν₀=1/4, the corresponding exponent varies from ν=1/2 (ϕ=0) to ν≅ 1/3 (0<ϕ≤1).

Related

• Branched Polymers with Excluded Volume Effects/ Relationship between Polymer Dimensions and Generation Number
• Branched Polymers with Excluded Volume Effects/ Configurations of Comb Polymers in Two- and Three-dimensions
• Simplicity and scaling - size of a real polymer in three (or any) dimensions
• Concentration Dependence of Excluded Volume Effects
• Size Exponents of Branched Polymers/ Extension of the Isaacson-Lubensky Formula and the Application to Lattice Trees