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The analytical expressions for the van der Waals potential energy and force between two crossed carbon nanotubes are presented. The Lennard-Jones potential for two carbon atoms and the method of the smeared out approximation suggested by…

Materials Science · Physics 2008-11-04 Alexander I. Zhbanov , Evgeny G. Pogorelov , Yia-Chung Chang

The Lifshitz-type formulas describing the free energy and the force of the van der Waals interaction between an atom (molecule) and a single-wall carbon nanotube are obtained. The single-wall nanotube is considered as a cylindrical sheet…

Materials Science · Physics 2009-11-13 E. V. Blagov , G. L. Klimchitskaya , V. M. Mostepanenko

For sparse materials like graphitic systems and carbon nanotubes the standard density functional theory (DFT) faces significant problems because it cannot accurately describe the van der Waals interactions that are essential to the…

Materials Science · Physics 2009-11-10 Elsebeth Schroder , Per Hyldgaard

We studied the van der Waals interactions of two finite, solid, cylindrical rods at arbitrary angle and position with respect to each other. An analytic interpolative formula for the interaction potential energy is constructed, based on…

Soft Condensed Matter · Physics 2018-10-03 Jack A. Logan , Alexei V. Tkachenko

The van der Waals and Casimir interactions of a hydrogen atom (molecule) with a single-walled and a multiwalled carbon nanotubes are compared. It is shown that the macroscopic concept of graphite dielectric permittivity is already…

Statistical Mechanics · Physics 2009-11-13 G. L. Klimchitskaya , E. V. Blagov , V. M. Mostepanenko

We study the behaviour of the non-retarded van der Waals force between a planar substrate and a single-walled carbon nanotube, assuming that the system is immersed in a liquid medium which exerts hydrostatic pressure on the tube's surface,…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Galin Valchev , Peter Djondjorov , Vassil Vassilev , Daniel Dantchev

Using a unified macroscopic QED formalism, we derive an integral equation for the van der Waals energy of a two-level atomic system near a carbon nanotube. The equation is valid for both strong and weak atom-vacuum-field coupling. By…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Igor Bondarev , Philippe Lambin

The dispersive interaction between nanotubes is investigated through ab initio theory calculations and in an analytical approximation. A van der Waals density functional (vdW-DF) [Phys. Rev. Lett. 92, 246401 (2004)] is used to determine and…

Materials Science · Physics 2009-11-13 Jesper Kleis , Elsebeth Schroder , Per Hyldgaard

We have investigated atom-nanotube van der Waals (vdW) coupling in atomically doped carbon nanotubes (CNs). Our approach is based on the perturbation theory for degenerated atomic levels, thus accounting for both weak and strong…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 I. V. Bondarev , Ph. Lambin

The van der Waals interactions between two parallel graphitic nanowiggles (GNWs) are calculated using the coupled dipole method (CDM). The CDM is an efficient and accurate approach to determine such interactions explicitly by taking into…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 Anh D. Phan , Lilia M. Woods , The-Long Phan

The van der Walls interaction between a carbon nanotubes sheet (CNTS) and a rare gas atom, is studied using both atomistic and continuum approaches. We present analytical expressions for the van der Waals energy of continuous nanotubes…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 S. Motahari , F. Shayeganfar , M. Neek-Amal

The Lifshitz theory of the van der Waals force is extended for the case of an atom (molecule) interacting with a plane surface of an uniaxial crystal or with a long solid cylinder or cylindrical shell made of isotropic material or uniaxial…

Quantum Physics · Physics 2009-11-11 E. V. Blagov , G. L. Klimchitskaya , V. M. Mostepanenko

The synthesis of one-dimensional van der Waals heterostructures was realized recently, which opens up new possibilities for prospective applications in electronics and optoelectronics. The even reduced dimension will enable novel properties…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Ya Feng , Henan Li , Taiki Inoue , Shohei Chiashi , Slava V. Rotkin , Rong Xiang , Shigeo Maruyama

We calculate the interaction energy and force between atoms and molecules and single-walled carbon nanotubes described by the Dirac model of graphene. For this purpose the Lifshitz-type formulas adapted for the case of cylindrical geometry…

Materials Science · Physics 2015-05-30 Yu. V. Churkin , G. L. Klimchitskaya , A. B. Fedortsov , V. A. Yurova

We study the mutual interactions of simple, parallel polymers and nanotubes, and develop a scheme to include the van der Waals interactions in the framework of density functional theory (DFT) for these molecules at intermediate to…

Soft Condensed Matter · Physics 2007-05-23 Jesper Kleis , Per Hyldgaard , Elsebeth Schroder

One-dimensional (1D) van der Waals heterostructures based on carbon nanotube templates are raising a lot of excitement due to the possibility of creating new optical and electronic properties, by either confining molecules inside their…

Materials Science · Physics 2021-07-22 Sofie Cambré , Ming Liu , Dmitry Levshov , Keigo Otsuka , Shigeo Maruyama , Rong Xiang

We compute the $T=0K$ Van der Waals (nonretarded Casimir) interaction energy $E$ between two infinitely long, crossed conducting wires separated by a minimum distance $D$ much greater than their radius. We find that, up to a logarithmic…

Other Condensed Matter · Physics 2013-05-29 John F. Dobson , Timothy Gould , Israel Klich

This work investigates the mechanical response of single-walled carbon nanotubes (SWCNTs) coupled through van der Waals and electrostatic forces using molecular dynamic (MD) simulations and a continuum model. In MD simulations, the covalent…

Computational Physics · Physics 2023-08-01 Aningi Mokhalingam , Indranil S Dalal , Shakti S Gupta

Repulsive short-range and attractive long-range van der Waals (vdW) forces have an appreciable role in the behavior of extended molecular systems. When using empirical force fields - the most popular computational methods applied to such…

Chemical Physics · Physics 2023-09-27 Almaz Khabibrakhmanov , Dmitry V. Fedorov , Alexandre Tkatchenko

We derive the complete form of the van der Waals dispersion interaction between two infinitely long anisotropic semiconducting/insulating thin cylinders at all separations. The derivation is based on the general theory of dispersion…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. Šiber , R. F. Rajter , R. H. French , W. Y. Ching , V. A. Parsegian , R. Podgornik
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