Polymer
Reptation
— de Gennes
Entangled polymer diffusing through a tube — Rouse modes, MSD ~ t^{1/2} → t crossover
Chain length N
80
Friction / temperature
0.080
Tube confinement b
1.20
New Chain
Polymer Chain + Primitive Path Tube
—
COM displacement
—
R_g
—
Mode 1 amp
Mean-Squared Displacement (log-log)
Rouse (free): MSD ~ t
Entangled (Reptation):
t < τ_e: Rouse ~ t^{1/2}
τ_e < t < τ_R: ~ t^{1/4}
τ_R < t < τ_d: ~ t^{1/2}
t > τ_d: free diff ~ t
D_rep ~ 1/N²