Article Dans Une Revue European Physical Journal E: Soft matter and biological physics Année : 2025

Conformational properties of strictly two-dimensional equilibrium polymers

Résumé

Two-dimensional monodisperse linear polymer chains are known to adopt for sufficiently large chain lengths N and surface fractions ϕ compact configurations with fractal perimeters. We show here by means of Monte Carlo simulations of reversibly connected hard disks (without branching, ring formation and chain intersection) that polydisperse self-assembled equilibrium polymers with a finite scission energy E are characterized by the same universal exponents as their monodisperse peers. Consistently with a Flory-Huggins mean-field approximation, the polydispersity is characterized by a Schulz-Zimm distribution with a susceptibility exponent γ = 19/16 for all not dilute systems and the average chain length ⟨N ⟩ ∝ exp(δE)ϕα thus increases with an exponent δ = 16/35. Moreover, it is shown that α = 3/5 for semidilute solutions and α ≈ 1 for larger densities. The intermolecular form factor F (q) reveals for sufficiently large ⟨N ⟩ a generalized Porod scattering with F (q) ∝ 1/q11/4 for intermediate wavenumbers q consistently with a fractal perimeter dimension ds = 5/4.

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hal-05196187 , version 1 (01-08-2025)

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J. P. Wittmer, A. Cavallo, A. Johner. Conformational properties of strictly two-dimensional equilibrium polymers. European Physical Journal E: Soft matter and biological physics, 2025, 48 (6-7), pp.41. ⟨10.1140/epje/s10189-025-00505-3⟩. ⟨hal-05196187⟩
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