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Updated: Sep 13, 2025

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Nonstationary critical phenomena: Expanding the critical point
Richard E Spinney1,2, Richard G Morris1,2,3
1UNSW, School of Physics, Sydney, NSW 2052, Australia.
We introduce biased quorum-sensing active particles (bQSAPs) to study dynamic critical phenomena in driven transport systems. This model reveals exotic phase structures and novel criticality beyond traditional single points.
Area of Science:
- Active Matter Physics
- Non-equilibrium Statistical Mechanics
- Soft Condensed Matter Theory
Background:
- Traditional critical phenomena are typically studied in equilibrium systems.
- Active matter systems exhibit non-equilibrium dynamics and persistent fluxes.
- Extending concepts of dynamic critical phenomena to driven transport is challenging.
Purpose of the Study:
- To develop a theoretical framework for dynamic critical phenomena in symmetry-broken active matter.
- To investigate the phase structure and criticality of biased quorum-sensing active particles (bQSAPs).
- To analyze the role of non-equilibrium fluxes and fluctuations in phase separation.
Main Methods:
- Construction of an effective field theory with a nonstationary order parameter.
- Development of a framework for interpreting bQSAP properties in inertial frames.
- Analysis of phase boundary movement using effective chemical potentials and free energy density.
Main Results:
- An anomalous coarsening behavior and an exotic phase structure where binodals can cross spinodal lines.
- Criticality is extended along a line, not confined to a single point, entering a pseudocritical region.
- Fluctuations remain relevant at macroscopic scales, exhibiting growth and nontrivial dispersion relations.
Conclusions:
- The study establishes a new paradigm for dynamic critical phenomena in driven active matter.
- bQSAPs exhibit unique phase behavior and criticality, distinct from equilibrium systems.
- Interplay of fluctuations and transport leads to diverse micro- and meso-phase separation regimes.
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