ArticlePolymers2018
Confined Polymers as Self-Avoiding Random Walks on Restricted Lattices.
Article in Polymers, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
4 citing papers in PubMed.
- Entropy-Driven Heterogeneous Crystallization of Hard-Sphere Chains under Unidimensional Confinement.Polymers · 2021Article
- Article
- Crystal, Fivefold and Glass Formation in Clusters of Polymers Interacting with the Square Well Potential.Polymers · 2020Article
- Self-Avoiding Random Walks as a Model to Study Athermal Linear Polymers under Extreme Plate Confinement.Polymers · 2020Article
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Authors and funding
3 authors.
Funding
Abstract
Polymers in highly confined geometries can display complex morphologies including ordered phases. A basic component of a theoretical analysis of their phase behavior in confined geometries is the knowledge of the number of possible single-chain conformations compatible with the geometrical restrictions and the established crystalline morphology. While the statistical properties of unrestricted self-avoiding random walks (SAWs) both on and off-lattice are very well known, the same is not true for SAWs in confined geometries. The purpose of this contribution is (a) to enumerate the number of SAWs on the simple cubic (SC) and face-centered cubic (FCC) lattices under confinement for moderate SAW lengths, and (b) to obtain an approximate expression for their behavior as a function of chain length, type of lattice, and degree of confinement. This information is an essential requirement for the understanding and prediction of entropy-driven phase transitions of model polymer chains under confinement. In addition, a simple geometric argument is presented that explains, to first order, the dependence of the number of restricted SAWs on the type of SAW origin.
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