Defining Ideal Phantom Polymer Networks

2024/05/25 by Hemant Nanavati, Nanavati, Hemant, Sushanta K. Das +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum optics and atomic interactions #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.2405.16188

openalex publication_date 2024/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Elastomers are modeled as networks with ϕ-functional junctions containing N ideal, n-segment, freely jointed chains (FJCs) per unit volume (p.u.v.). Our compact model of the exact FJC length probability density (Treloar, 1975), accurately yields their exact distribution moments (Flory, 1969). The governing geometry of fluctuations of N_X = 2N/ϕ junctions p.u.v., parametrically maps their λ(elongation ratio)-dependent distribution to an equivalent FJC consisting of n_fϕ = (n/ϕ)(1-Λ) segments, where Λ= (1/3n)(λ² + 2/λ)). The resulting elastic pre-factor, N_effkT = (N - ηN_X)kT, with junction effectiveness η= ϕ(1-Λ)/(ϕ-Λ), defines ideal phantom networks

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