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Updated: Jul 31, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
Equilibrium and dynamic pleating of a crystalline bonded network
Saswati Ganguly1, Parswa Nath2, Jürgen Horbach1
1Institut für Theoretische Physik II: Weiche Materie, Heinrich Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany.
A phase transition creates unique "pleated" states in particle networks. An external field stabilizes these phases, localizing stress and enabling new material behaviors, with potential experimental verification.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Statistical Mechanics
Background:
- Ordered particle networks with harmonic bonds are fundamental in materials science.
- Understanding phase transitions is crucial for predicting material properties.
- Non-affineness quantifies deviations from ideal deformation, impacting network stability.
Purpose of the Study:
- To describe a novel phase transition in a 2D particle network.
- To investigate the role of an external field in stabilizing heterogeneous phases.
- To characterize the stress distribution and dynamics within these novel phases.
Main Methods:
- Monte Carlo simulations to explore phase space and identify stable configurations.
- Molecular dynamics simulations to study transition kinetics and dynamic behavior.
- Analysis of collective variables, specifically non-affineness, to understand phase stabilization.
Main Results:
- Discovery of heterogeneous "pleated" phases beyond the homogeneous phase.
- Stabilization of pleated phases by an external field conjugate to non-affineness.
- Stress localization in ordered or disordered pleats, leading to unique mechanical properties.
- Observation of slow phase transition kinetics and aging dynamics in metastable phases.
Conclusions:
- The 2D network exhibits complex phase behavior driven by an external field.
- Pleated phases offer tunable stress localization, with potential applications in materials design.
- The study predicts experimental verifiability using colloidal solids in laser traps.
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