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

Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

You might also read

Related Articles

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

Sort by
Same author

Gelation as a Dynamical Instability of the Smoluchowski Flow.

The journal of physical chemistry. B·2026
Same author

Dehydrogenation vs Apparent Hydrogenation: Unraveling the Mechanisms of He and O<sub>2</sub> Plasma Etching on Colloidal Nanocrystal Films.

ACS applied materials & interfaces·2025
Same author

Supersaturation-Dependent Competition between β and κ Phases in the MOVPE Growth of Ga<sub>2</sub>O<sub>3</sub> on Al<sub>2</sub>O<sub>3</sub> (0001) and GaN (0001) Substrates.

ACS applied materials & interfaces·2025
Same author

Modeling Brownian Motion as a Timelapse of the Physical, Persistent Trajectory.

The journal of physical chemistry. B·2025
Same author

How Can Materials Chemists Contribute to Food Supply Security in the Age of AI and Robotics?

Angewandte Chemie (International ed. in English)·2024
Same author

Colloidal TiO<sub>2</sub> nanocrystals with engineered defectivity and optical properties.

Nanoscale horizons·2024

Related Experiment Video

Updated: May 29, 2026

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
09:58

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp

Published on: February 3, 2014

Spherical Boundary Conditions: A Topological Framework for Isotropic Collective Dynamics.

Manuel Dedola1, Ludovico Cademartiri1

  • 1Department of Chemistry, Life Sciences and Environmental Sustainability, University of Parma, Parco Area delle Scienze 17 A, Parma 43121, Italy.

The Journal of Physical Chemistry. B
|May 28, 2026
PubMed
Summary
This summary is machine-generated.

Standard periodic boundary conditions create artifacts in simulations. Spherical Boundary Conditions (SBC) eliminate these artifacts, restoring accurate simulations of isotropic liquids and their dynamics.

More Related Videos

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

Related Experiment Videos

Last Updated: May 29, 2026

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
09:58

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp

Published on: February 3, 2014

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

Area of Science:

  • Computational physics
  • Materials science
  • Statistical mechanics

Background:

  • Standard periodic boundary conditions (PBC) impose a toroidal topology, leading to spurious long-range temporal correlations.
  • These artifacts manifest as lattice-aligned anisotropy in dynamic observables, violating the static-dynamic correspondence (de Gennes narrowing).

Purpose of the Study:

  • Introduce Spherical Boundary Conditions (SBC) as a novel topological framework.
  • Resolve artifacts caused by PBC and restore accurate simulation of isotropic liquids.

Main Methods:

  • Developed SBC using a radial folding map and chaotic boundary remapping.
  • Implemented SBC within Brownian dynamics simulations.
  • Analyzed static and dynamic correlations and ergodicity.

Main Results:

  • SBC eliminates lattice-aligned anisotropy by construction.
  • Restores isotropic static and dynamic correlations.
  • Recovers the ergodicity and static-dynamic correspondence of the infinite bulk limit on finite domains.

Conclusions:

  • SBC effectively acts as a measure-preserving information filter.
  • Preserves thermodynamic laws while suppressing artifacts from periodic boundary conditions.
  • SBC provides a robust method for accurate simulations of liquids and materials.