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Related Concept Videos

Types of Forces01:09

Types of Forces

In most situations, forces can be grouped into two categories: contact forces and field forces.  Contact forces occur as a result of direct physical contact between objects. Field forces, however, act without the necessity of physical contact between objects. They depend on the presence of a "field" in the region of space surrounding the body under consideration. You can think of a field as a property of space that is detectable by the forces it exerts. Scientists think there are only four...
Basic Equation for Pressure Field01:13

Basic Equation for Pressure Field

The basic equation for a pressure field in fluid mechanics captures the balance of forces within any segment of fluid, providing a foundational understanding of how pressure changes within fluids under various forces. Generally, two main types of forces act on any part of a fluid: surface forces and body forces. Surface forces arise from pressure differences across points within the fluid, which result in net forces that can vary depending on the local pressure gradient. Body forces, on the...
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the concentration...
Electrochemical Systems01:24

Electrochemical Systems

Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution, the Zn metal, composed...
Frictional Force01:07

Frictional Force

When a body is in motion, it encounters resistance because the body interacts with its surroundings. This resistance is known as friction, a common yet complex force whose behavior is still not completely understood. Friction opposes relative motion between systems in contact, but also allows us to move. Friction arises in part due to the roughness of surfaces in contact. For one object to move along a surface, it must rise to where the peaks of the surface can skip along the bottom of the...
Fluid Pressure over Flat Plate of Variable Width01:02

Fluid Pressure over Flat Plate of Variable Width

When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...

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Related Experiment Video

Updated: May 24, 2026

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

Effective field theory approach to fluctuation-induced forces between colloids at an interface.

Cem Yolcu1, Ira Z Rothstein, Markus Deserno

  • 1Department of Physics, Carnegie Mellon University, 5000 Forbes Ave., Pittsburgh, Pennsylvania 15213, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 10, 2012
PubMed
Summary

We present an effective field theory (EFT) for calculating interactions between particles on fluid surfaces. This method simplifies calculations while accurately accounting for particle properties, enabling efficient computation of complex interactions.

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Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
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Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

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Last Updated: May 24, 2026

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

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

Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Understanding interactions between particles on fluid surfaces is crucial in various fields.
  • Traditional methods for calculating these interactions can be computationally intensive and complex.
  • Fluctuations of the fluid surface significantly influence particle behavior.

Purpose of the Study:

  • To develop an effective field theory (EFT) approach for computing fluctuation-induced interactions between particles on a fluid surface.
  • To provide a systematic and computationally efficient method for analyzing these interactions.
  • To extend the framework to include particle size, shape, and multibody effects.

Main Methods:

  • Utilizing an effective field theory (EFT) framework to model particles as points, simplifying functional integral computations.
  • Incorporating particle size and shape information through a derivative expansion of the surface Hamiltonian.
  • Employing a cumulant expansion to derive the free energy.
  • Developing an asymptotic expansion for pair interactions of rigid axisymmetric objects.

Main Results:

  • A complete description for rigid axisymmetric objects and their pair interactions is derived.
  • The EFT approach demonstrates efficiency in computing multibody interactions.
  • The method allows for systematic computation of ground-state surface-mediated interactions.
  • Inferences can be made for flexible or anisotropic objects.

Conclusions:

  • The EFT approach offers a powerful and systematic tool for studying surface-mediated interactions.
  • This method simplifies complex calculations while retaining essential physical information.
  • The framework is versatile and applicable to various particle types and configurations.