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The Rouse model with harmonic springs and the Langevin equation(Langevin-Rouse model) is widely used to describe the linear viscoelasticity ofunentangled polymer melts. A similar model, in which the Langevin equation isreplaced by discrete local jump dynamics (the jump-Rouse model), is also usedto describe the dynamics of some systems such as entangled polymer melts.Intuitively, we expect that the Langevin- and jump-Rouse models give similarlinear viscoelastic behaviors. However, the Langevin- and jump-Rouse models arenot equivalent, and their linear viscoelastic behaviors can be different. Inthis work, we compare the shear relaxation moduli of the Langevin- andjump-Rouse model in detail. We develop a jump rate model in which theresampling ratio is tunable. By using this jump rate model, we can smoothlyconnect the jump-Rouse model and the Langevin-Rouse model. We perform kineticMonte Carlo simulations to calculate the shear relaxation modulus data of thejump-Rouse model. We compare the simulation results with various numbers ofbeads and resampling ratios, and show that the shear relaxation moduli of theLangevin- and jump-Rouse models are similar but slightly different. We analyzethe short-time relaxation behavior of the jump-Rouse model, and show that thelocal jumps give a single Maxwell type relaxation in the short-time region.

Comparison of Linear Viscoelastic Behaviors of Langevin- and Jump-Rouse Models