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

DOI DOI Web Site Web Site 被引用文献1件 参考文献18件 オープンアクセス
  • Uneyama Takashi
    Department of Materials Physics, Graduate School of Engineering, Nagoya University

この論文をさがす

説明

<p>The Rouse model with harmonic springs and the Langevin equation (the Langevin-Rouse model) is widely used to describe the linear viscoelasticity of unentangled polymer melts. A similar model, in which the Langevin equation is replaced by discrete local jump dynamics (the jump-Rouse model), is also used to describe the dynamics of some systems such as entangled polymer melts. Intuitively, we expect that the Langevin- and jump-Rouse models give similar linear viscoelastic behaviors. However, the Langevin- and jump-Rouse models are not equivalent, and their linear viscoelastic behaviors can be different. In this work, we compare the shear relaxation moduli of the Langevin- and jump-Rouse model in detail. We develop a jump rate model in which the resampling ratio is tunable. By using this jump rate model, we can smoothly connect the jump-Rouse model and the Langevin-Rouse model. We perform kinetic Monte Carlo simulations to calculate the shear relaxation modulus data of the jump-Rouse model. We compare the simulation results with various numbers of beads and resampling ratios, and show that the shear relaxation moduli of the Langevin- and jump-Rouse models are similar but slightly different. We analyze the short-time relaxation behavior of the jump-Rouse model, and show that the local jumps give a single Maxwell type relaxation in the short-time region.</p>

収録刊行物

被引用文献 (1)*注記

もっと見る

参考文献 (18)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ