Related Experiment Video
Updated: Apr 3, 2026

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
Published on: February 17, 2019
Bridging transitions for spheres and cylinders
Alexandr Malijevský1, Andrew O Parry2
1Department of Physical Chemistry, Institute of Chemical Technology, Prague, 166 28 Praha 6, Czech Republic and Laboratory of Aerosols Chemistry and Physics, Institute of Chemical Process Fundamentals, Academy of Sciences, 16502 Prague 6, Czech Republic.
This study explores liquid bridges between particles, finding transition locations are similar for spheres and cylinders. However, bridge stability differs significantly, impacting transition order and particle behavior in solvents.
Area of Science:
- Colloid and Surface Science
- Physical Chemistry
- Statistical Mechanics
Background:
- Understanding particle interactions in solvents is crucial for material science and nanotechnology.
- Bridging transitions, where liquid forms a bridge between particles, influence system stability and phase behavior.
Purpose of the Study:
- To investigate bridging transitions between spherical and cylindrical colloids in a solvent.
- To analyze the location, order, and stability of liquid bridges for different particle geometries.
- To determine the influence of particle shape on the critical phenomena of bridging transitions.
Main Methods:
- Utilized macroscopic and microscopic density-functional theory.
- Employed finite-size scaling theory to analyze transition properties.
- Investigated the stability of liquid bridges and associated spinodal lines.
Main Results:
- Bridging transition locations scale similarly with colloid radius (R) for both spheres and cylinders.
- Liquid bridge stability and transition order differ significantly between spherical and cylindrical particles.
- For spheres, the transition can be first-order, critical, or rounded, dependent on a critical radius (Rc).
Conclusions:
- Particle shape profoundly impacts liquid bridge stability and the nature of bridging transitions.
- Cylindrical particle bridging transitions are typically strongly first-order.
- The study highlights the importance of shape-dependent effects and fluctuation theories in colloid systems.
Related Concept Videos
Gravity between Spherical Bodies
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...
Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
Gauss's Law: Cylindrical Symmetry
Spherical Coordinates
Deformations in a Symmetric Member in Bending
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Deformation in a Circular Shaft

