Developments in Multi-Chain Coarse-Grained Models for Entangled Polymer Dynamics
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910084224778240 |
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| author | Masubuchi, Yuichi |
| author_facet | Masubuchi, Yuichi |
| contents | This review describes the development and applications of multi-chain coarse-grained simulations for entangled polymer dynamics. The mean-field tube model has long served as the standard paradigm for describing the many-body entanglement problem as the motion of a single chain in a static field; it faces intrinsic limitations when addressing spatial correlations, fluctuations, and complex topological rearrangements. To overcome these limitations, "multi-chain" approaches -- specifically the primitive chain network and multi-chain slip-spring models -- were developed. These simulations explicitly resolve the force balance and topological coupling between multiple chains in three-dimensional space. This review covers the primitive chain network model, which emphasizes real-space force balance, and the multi-chain slip-spring model, which is derived from a well-defined free-energy functional. Linear and nonlinear rheology predictions are discussed, along with molecular mechanisms such as constraint release and stretch/orientation-induced reductions in friction. Extensions to branched polymers, wall-slip phenomena, and network polymers are also mentioned. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27921 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Developments in Multi-Chain Coarse-Grained Models for Entangled Polymer Dynamics Masubuchi, Yuichi Soft Condensed Matter This review describes the development and applications of multi-chain coarse-grained simulations for entangled polymer dynamics. The mean-field tube model has long served as the standard paradigm for describing the many-body entanglement problem as the motion of a single chain in a static field; it faces intrinsic limitations when addressing spatial correlations, fluctuations, and complex topological rearrangements. To overcome these limitations, "multi-chain" approaches -- specifically the primitive chain network and multi-chain slip-spring models -- were developed. These simulations explicitly resolve the force balance and topological coupling between multiple chains in three-dimensional space. This review covers the primitive chain network model, which emphasizes real-space force balance, and the multi-chain slip-spring model, which is derived from a well-defined free-energy functional. Linear and nonlinear rheology predictions are discussed, along with molecular mechanisms such as constraint release and stretch/orientation-induced reductions in friction. Extensions to branched polymers, wall-slip phenomena, and network polymers are also mentioned. |
| title | Developments in Multi-Chain Coarse-Grained Models for Entangled Polymer Dynamics |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2603.27921 |