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Related Concept Videos

Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
The Phase Rule01:20

The Phase Rule

The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
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Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
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Solid–Solid Solutions01:24

Solid–Solid Solutions

The temperature-composition phase diagram of two solids, A and B, which are immiscible in the solid phase but form miscible liquids, shows that when the temperature is low, these two exist as separate, pure solids (A and B). As the temperature increases, they transition into a single-phase liquid solution where A and B coexist. Moving from point a1 to a2 in the phase diagram, the composition changes such that solid B begins to separate from the solution, enriching the remaining liquid with A.

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Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
06:26

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

Stability of a sharp uniaxial-isotropic phase interface.

Oleg E Shklyaev1, Amy Q Shen, Eliot Fried

  • 1Department of Mechanical and Nuclear Engineering, Pennsylvania State University, 157 Hammond Building, University Park, PA 16802, United States. oes2@psu.edu

Journal of Colloid and Interface Science
|September 1, 2009
PubMed
Summary

This study investigates the stability of nematic liquid crystal interfaces using new boundary conditions. It establishes a stability condition for moving interfaces and analyzes factors influencing perturbation growth.

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Area of Science:

  • Physics
  • Materials Science
  • Liquid Crystal Physics

Background:

  • Nematic liquid crystals exhibit distinct uniaxial and isotropic phases.
  • Understanding phase interface stability is crucial for material behavior.
  • Existing models may not fully capture interface dynamics without impurities.

Purpose of the Study:

  • To investigate the stability of the uniaxial-isotropic interface in nematic liquid crystals.
  • To develop a theoretical framework using advanced boundary conditions.
  • To analyze the impact of front velocity and dissipative mechanisms on interface stability.

Main Methods:

  • Application of newly developed boundary conditions incorporating director- and configurational-momentum balances.
  • Linear stability analysis of the interface.
  • Analysis of marginal stability curves, perturbation growth-rates, and wave-numbers.

Main Results:

  • A stability condition for the moving uniaxial-isotropic interface was determined.
  • The influence of front velocity and dissipative mechanisms on perturbation dynamics was quantified.
  • Cut-off wave-numbers were identified, defining short-wavelength limits for growing perturbations.

Conclusions:

  • The developed theory provides a robust model for uniaxial-isotropic interface instabilities in pure nematic systems.
  • This work serves as a limiting case for diffusion models involving impurity gradients.
  • The findings contribute to a deeper understanding of phase transitions in liquid crystals.