Simple physics of the partly pinned fluid systems
1Laboratoire de chimie, École normale supérieure de Lyon, 46 allée d'Italie, 69364 Lyon cedex 07, France.
The Journal of Chemical Physics
|September 15, 2014
Summary
This study explores partly pinned (PP) systems, revealing how particle configurations and correlations behave. These findings offer insights into the glass transition using theoretical physics tools.
Area of Science:
- Statistical physics
- Condensed matter physics
Background:
- Partly pinned (PP) systems are created by fixing particles in equilibrium fluid states.
- Understanding these systems is crucial for studying the glass transition.
Purpose of the Study:
- To analyze configurational overlap and density correlations in PP systems.
- To establish connections between particle pinning and spin systems.
Main Methods:
- Utilizing tools from the theory of adsorption in disordered porous solids.
- Deriving Ornstein-Zernike equations for asymptotic analysis.
- Mapping the homogeneous PP lattice gas to a random field Ising model.
Main Results:
- Asymptotic results for small perturbations in PP systems were obtained.
- The homogeneous PP lattice gas maps to a random field Ising model with asymmetric bimodal field distribution.
- Configurational overlap and disconnected density correlations were analyzed.
Conclusions:
- The study provides a theoretical framework for analyzing partly pinned systems.
- The findings facilitate comparisons between particle and spin pinning phenomena.
- Implications for understanding the glass transition are discussed.
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