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Main Authors: Pal, Subhojit, Dobson, John F.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.16214
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author Pal, Subhojit
Dobson, John F.
author_facet Pal, Subhojit
Dobson, John F.
contents Parallel quasi-one-dimensional metals are known to experience strong dispersion (van der Waals, vdW) interactions that fall off unusually slowly with separation between the metals. Examples include nanotube brushes, nano-wire arrays, and also common biological structures. In a many-stranded bundle, there are potentially strong multi-strand vdW interactions that go beyond a simple sum of negative (attractive) pairwise inter-strand energies. Perturbative analysis showed that these contributions alternate in sign, with the odd (triplet, quintuplet, ...) terms being positive (repulsive). The triplet case leds to the intriguing speculation that these strands may prefer to coalesce into even-numbered bundles, which could have implications for the formation kinetics of DNA, for example. Here we use a non-perturbative vdW energy analysis to show that this conjecture is not true in general. As our counter-example we consider 6 strands and show that 2 well-separated bundles of 3 strands have a more negative total vdW energy than 3 well-separated bundles of 2 strands ( i.e. an odd-number preference). We also discuss a bundle of 6 strands and explore the relative contributions beyond pairwise interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2508_16214
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Do 1-dimensional metals prefer to form even-numbered van der Waals clusters ?
Pal, Subhojit
Dobson, John F.
Materials Science
Parallel quasi-one-dimensional metals are known to experience strong dispersion (van der Waals, vdW) interactions that fall off unusually slowly with separation between the metals. Examples include nanotube brushes, nano-wire arrays, and also common biological structures. In a many-stranded bundle, there are potentially strong multi-strand vdW interactions that go beyond a simple sum of negative (attractive) pairwise inter-strand energies. Perturbative analysis showed that these contributions alternate in sign, with the odd (triplet, quintuplet, ...) terms being positive (repulsive). The triplet case leds to the intriguing speculation that these strands may prefer to coalesce into even-numbered bundles, which could have implications for the formation kinetics of DNA, for example. Here we use a non-perturbative vdW energy analysis to show that this conjecture is not true in general. As our counter-example we consider 6 strands and show that 2 well-separated bundles of 3 strands have a more negative total vdW energy than 3 well-separated bundles of 2 strands ( i.e. an odd-number preference). We also discuss a bundle of 6 strands and explore the relative contributions beyond pairwise interactions.
title Do 1-dimensional metals prefer to form even-numbered van der Waals clusters ?
topic Materials Science
url https://arxiv.org/abs/2508.16214