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Related Concept Videos

Spherical and Cylindrical Capacitor01:26

Spherical and Cylindrical Capacitor

A spherical capacitor consists of two concentric conducting spherical shells of radii R1 (inner shell) and R2 (outer shell). The shells have equal and opposite charges of +Q and −Q, respectively. For an isolated conducting spherical capacitor, the radius of the outer shell can be considered to be infinite.
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field, calculated by...
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
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,...
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...
The Electrical Double Layer01:30

The Electrical Double Layer

In the region where two bulk phases meet, an intricate electric charge distribution arises due to charge transfer, ion adsorption, molecular orientation, and charge distortion. This complex distribution is commonly referred to as the electrical double layer.When a solid electrode interfaces with ions in an electrolyte solution, the speed of electron transfer dictates the rates of oxidation and reduction. The electrode acquires a charge through the escape of atoms into the solution as cations or...

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Related Experiment Video

Updated: Jul 7, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Computer simulation of charged hard spherocylinders.

Carlos Avendaño1, Alejandro Gil-Villegas, Enrique González-Tovar

  • 1Facultad de Química, Universidad de Guanajuato, Noria Alta s/n, 36050 Guanajuato, Guanajuato, Mexico.

The Journal of Chemical Physics
|February 6, 2008
PubMed
Summary

Computer simulations reveal the Wolf method accurately models charged hard spherocylinders, predicting phase diagrams and liquid crystal stability. This computational approach offers reliable insights into complex molecular systems.

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Last Updated: Jul 7, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

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Published on: May 18, 2021

Lab-on-a-CD Platform for Generating Multicellular Three-dimensional Spheroids
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Published on: November 7, 2019

Area of Science:

  • Computational physics and chemistry
  • Soft matter physics
  • Statistical mechanics

Background:

  • Understanding the behavior of charged particles in condensed phases is crucial.
  • Computer simulations are vital tools for exploring complex molecular systems.
  • Hard spherocylinders are a fundamental model for anisotropic molecules.

Purpose of the Study:

  • To investigate the thermodynamic and structural properties of charged hard spherocylinders.
  • To validate the Wolf method for simulating Coulombic interactions in this system.
  • To predict the phase diagram and examine liquid crystalline phase stability.

Main Methods:

  • NVT and NPT Monte Carlo simulations were employed.
  • The Wolf method was used to handle Coulombic interactions.
  • Results were compared against the standard Ewald summation method.

Main Results:

  • The Wolf method demonstrated excellent agreement with the Ewald summation method.
  • A partial phase diagram was predicted by studying system isotherms.
  • The stability of liquid crystalline phases was analyzed.

Conclusions:

  • The Wolf method is a reliable approach for simulating charged hard spherocylinders.
  • Simulation results provide insights into the phase behavior of anisotropic charged systems.
  • Comparison with neutral and dipolar systems highlights the influence of charge on phase stability.