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

Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

3.2K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
3.2K
Nonideal Two-Component Liquid Solutions01:29

Nonideal Two-Component Liquid Solutions

118
Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...
118
Gravitation Between Spherically Symmetric Masses01:14

Gravitation Between Spherically Symmetric Masses

1.6K
The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
1.6K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

17.0K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
17.0K
Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

1.1K
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
1.1K
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

1.2K
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
1.2K

You might also read

Related Articles

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

Sort by
Same author

Soft fundamental measure theory functional for the Weeks-Chandler-Andersen repulsive potential.

Physical review. E·2023
Same author

Statistical Mechanical Model of Gas Adsorption in a Metal-Organic Framework Harboring a Rotaxane Molecular Shuttle.

Langmuir : the ACS journal of surfaces and colloids·2020
Same author

Flat-histogram method comparison on the two-dimensional Ising model.

Physical review. E·2020
Same author

Stochastic approximation Monte Carlo with a dynamic update factor.

Physical review. E·2020
Same author

Theoretical Prediction of Disrupted Min Oscillation in Flattened Escherichia coli.

PloS one·2015
Same author

Improved association in a classical density functional theory for water.

The Journal of chemical physics·2014

Related Experiment Video

Updated: Apr 21, 2026

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

5.3K

Approach to approximating the pair distribution function of inhomogeneous hard-sphere fluids.

Paho Lurie-Gregg1, Jeff B Schulte1, David Roundy1

  • 1Department of Physics, Oregon State University, Corvallis, Oregon 97331, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 7, 2014
PubMed
Summary

We developed a faster approximation for the hard sphere fluid pair distribution function. This method accurately predicts fluid behavior in varying densities, offering computational efficiency for complex simulations.

More Related Videos

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

12.7K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.6K

Related Experiment Videos

Last Updated: Apr 21, 2026

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

5.3K
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

12.7K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.6K

Area of Science:

  • Statistical Mechanics
  • Computational Physics
  • Fluid Dynamics

Background:

  • The pair distribution function is crucial for understanding fluid properties.
  • Previous methods for inhomogeneous hard sphere fluids were computationally intensive.
  • Accurate calculation of the pair distribution function is essential for modeling complex systems.

Purpose of the Study:

  • To introduce a computationally efficient approximation for the pair distribution function of inhomogeneous hard sphere fluids.
  • To leverage recent advancements in averaged pair distribution functions at contact.
  • To improve the speed of simulations involving hard sphere fluids.

Main Methods:

  • Utilizing a recently developed averaged pair distribution function at contact.
  • Implementing exclusively fixed-kernel convolutions.
  • Employing fast Fourier transforms for computational acceleration.

Main Results:

  • The proposed approximation accurately reproduces the averaged pair distribution function at contact for inhomogeneous densities.
  • The method demonstrates favorable agreement with existing literature and Monte Carlo simulations.
  • Achieved significant computational efficiency gains compared to previous approaches.

Conclusions:

  • The new approximation offers a computationally efficient and accurate tool for studying inhomogeneous hard sphere fluids.
  • This method can accelerate simulations in statistical mechanics and fluid dynamics.
  • The approach validates the utility of averaged pair distribution functions at contact for complex fluid systems.