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Updated: Apr 7, 2026
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Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
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Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition
Fabio Deelan Cunden1,2, Anna Maltsev1, Francesco Mezzadri1
1School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom.
Summary
We discovered a fourth-order phase transition in two-dimensional (2D) one-component plasma by analyzing charge displacement distributions. This transition occurs at the plasma
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Plasma physics
Background:
- Studying charge distributions in 2D one-component plasma is crucial for understanding collective behavior.
- The thermodynamic limit (N→∞) simplifies complex systems but requires careful analysis of emergent properties.
- Finite temperature (β>0) introduces thermal fluctuations that significantly impact plasma dynamics.
Purpose of the Study:
- To investigate the distribution of mean radial displacement of charges in a 2D one-component plasma.
- To identify and characterize any phase transitions occurring in this system at finite temperature.
- To compare findings with the integrable case (finite N) and related models.
Main Methods:
- Computation of large deviation functions for charge displacement.
- Analysis of topological changes in the plasma distribution.
- Comparison with integrable plasma models (finite N) and 2D Dyson Brownian particles.
- Mapping to non-Hermitian matrix models.
Main Results:
- Explicit computation of large deviation functions reveals a fourth-order phase transition.
- The phase transition is linked to a change in the topology of the plasma distribution.
- This weak phase transition occurs precisely at the ground state of the plasma.
- Results were successfully compared with the integrable case (βq²=2).
Conclusions:
- A novel fourth-order phase transition emerges in 2D one-component plasma due to topological changes.
- The transition's occurrence at the ground state provides a unique insight into plasma behavior.
- The study establishes connections between plasma physics, random matrix theory, and Brownian particle dynamics.
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