Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Van der Waals Interactions01:24

Van der Waals Interactions

69.9K
Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
69.9K
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.5K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
2.5K
Intermolecular Forces03:13

Intermolecular Forces

68.6K
Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen...
68.6K
The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

29.8K
In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
29.8K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

58.8K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
58.8K
Valence Bond Theory02:42

Valence Bond Theory

11.1K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
11.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

A phase II, randomized, open-label study to evaluate low-dose pembrolizumab plus chemotherapy versus chemotherapy as neoadjuvant therapy for localized triple-negative breast cancer (TNBC) (PLANeT trial-Pembrolizumab Low dose in Addition to NACT in TNBC).

Annals of oncology : official journal of the European Society for Medical Oncology·2025
Same author

Exometabolome of Pantoea targets pathogen associated scytalone dehydratase and XopQ for suppression of foliar blast and bacterial blight in rice.

International journal of biological macromolecules·2025
Same author

High-power test of a C-band linear accelerating structure with an RFSoC-based LLRF system.

The Review of scientific instruments·2025
Same author

High-Statistics Measurement of the Cosmic-Ray Electron Spectrum with H.E.S.S.

Physical review letters·2024
Same author

Acromegalic rosary.

QJM : monthly journal of the Association of Physicians·2024
Same author

Acceleration and transport of relativistic electrons in the jets of the microquasar SS 433.

Science (New York, N.Y.)·2024
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Jan 6, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.5K

Harmonically Confined Particles with Long-Range Repulsive Interactions.

S Agarwal1,2, A Dhar1, M Kulkarni1

  • 1International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India.

Physical Review Letters
|October 2, 2019
PubMed
Summary
This summary is machine-generated.

This study analyzes classical particles with harmonic confinement and power-law repulsion. The average particle density profile is calculated exactly, revealing temperature independence at low temperatures and complex behavior dependent on the interaction parameter k.

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.9K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

11.7K

Related Experiment Videos

Last Updated: Jan 6, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.5K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.9K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

11.7K

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Mathematical Physics

Background:

  • Studies interacting classical particles in a harmonic trap.
  • Investigates pairwise interaction potentials with power-law dependence: |x_{i}-x_{j}|^{-k}.
  • Generalizes known models like one-component plasma, Dyson's log gas, and Calogero-Moser.

Purpose of the Study:

  • To compute the exact average density profile for large N.
  • To analyze the behavior of the system for all k > -2.
  • To understand the interplay between harmonic confinement and pairwise repulsion.

Main Methods:

  • Exact computation of the average density profile.
  • Analysis of a system of N classical particles on a line.
  • Consideration of pairwise interaction potential with power-law dependence.

Main Results:

  • Particles occupy a finite region due to competing forces.
  • The average density profile is independent of temperature at low temperatures.
  • The profile exhibits distinct behaviors for different ranges of k: -21, and k=1.

Conclusions:

  • The system's density profile is robust to temperature changes at low temperatures.
  • The interaction parameter k significantly influences the particle distribution.
  • Provides exact results for a generalized exactly solvable model in statistical physics.