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

Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

9.8K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
9.8K
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.3K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.3K
Biasing of FET01:22

Biasing of FET

366
Biasing a Junction Field Effect Transistor (JFET) is crucial for setting operational parameters and ensuring efficient functioning in electronic circuits. JFETs are characterized by using a single carrier type in N-channel or P-channel configurations, where the channel is surrounded by PN junctions. These junctions are central to the device's ability to control current flow.
In an N-channel JFET, the structure consists of N-type material forming the channel on a P-type substrate, with the...
366
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

835
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
835
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

24.2K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
24.2K
Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

5.5K
Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
5.5K

You might also read

Related Articles

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

Sort by
Same author

Analytic expressions for correlations in coarse-grained simple fluids.

The Journal of chemical physics·2023
Same author

Conservative Potentials for a Lattice-Mapped Coarse-Grained Scheme.

The journal of physical chemistry. A·2021
See all related articles

Related Experiment Video

Updated: Sep 6, 2025

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.6K

Conservative Potentials for a Lattice-Mapped, Coarse-Grain Scheme with Fuzzy Switching Functions.

Siwei Luo1, Mark Thachuk1

  • 1Department of Chemistry, University of British Columbia, Vancouver V6T 1Z1, Canada.

The Journal of Physical Chemistry. A
|June 29, 2022
PubMed
Summary

This study introduces fuzzy boundaries for coarse-grain (CG) mapping, enabling a smooth transition from atomistic to continuum descriptions. Overlap degree controls mass distribution and correlations, informing when continuum theory is applicable.

More Related Videos

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

16.4K
Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

Related Experiment Videos

Last Updated: Sep 6, 2025

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.6K
Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

16.4K
Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

Area of Science:

  • Computational Chemistry
  • Materials Science
  • Statistical Mechanics

Background:

  • Previous work established conservative potentials for lattice-like coarse-grain (CG) mapping.
  • Sharply defined boundaries in CG models can be limiting for complex systems.

Purpose of the Study:

  • To extend CG mapping schemes to systems with fuzzy, interpenetrating spatial regions.
  • To investigate the impact of fuzzy boundaries on system properties and the applicability of continuum theory.

Main Methods:

  • Utilized fuzzy switching functions to create overlapping subcells with fractional particle occupations.
  • Calculated the full mass matrix, including off-diagonal elements, for fuzzy systems.
  • Analyzed mass distribution transitions and correlations among CG variables as a function of overlap.

Main Results:

  • Observed a transition in mass distribution from discrete to continuous (Gaussian-like) with increasing overlap, indicating suitability for continuum theory.
  • Calculated CG correlations dependent on overlap degree, revealing trade-offs between interaction complexity and fuzziness.
  • Found CG potentials approximated by generalized quadratic functions for large particle numbers and moderate overlap.

Conclusions:

  • Demonstrated a quantitative method to bridge atomistic and continuum resolutions in CG models.
  • Highlighted the importance of fuzzy boundaries in designing CG schemes with mixed resolution character.
  • Provided insights into the relationship between spatial overlap, system dynamics, and theoretical descriptions.