A poroelastic model derives stiffness-dependent coarsening laws λ(t) ~ G^{-1/2} t^{1/4} or G^{-1/3} t^{1/3} and arrest sizes λ_arrest ~ G^{-1/2} or G^{-1/3} that match experiments for melt-like gels.
(C22)–(C23) is p(r, t) =δp λ r erfc r−λ 2 √ Dt , r≥λ.(C25) The radial pressure gradient evaluated at the domain boundary is ∂p ∂r r=λ =−δp 1 λ + 1√ πDt .(C26) whereδp∼γ/λ
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Scaling of poroelastic coarsening and elastic arrest in crosslinked gels
A poroelastic model derives stiffness-dependent coarsening laws λ(t) ~ G^{-1/2} t^{1/4} or G^{-1/3} t^{1/3} and arrest sizes λ_arrest ~ G^{-1/2} or G^{-1/3} that match experiments for melt-like gels.