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Updated: May 6, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Coarse graining for the phase-field model of fast phase transitions
1Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra, Catalonia, Spain.
This study analytically treats fast phase transitions lacking local thermalization. Non-Markovian master equations are derived for rapid processes, providing a basis for phase-field models in nonequilibrium systems.
Area of Science:
- Physics
- Physical Chemistry
- Materials Science
Background:
- Fast phase transitions occur in systems far from equilibrium.
- Local thermalization is often assumed but may not hold during rapid processes.
- Existing models may not fully capture the dynamics of rapid phase changes.
Purpose of the Study:
- To analytically investigate fast phase transitions under conditions of limited local thermalization.
- To derive master equations for systems undergoing rapid phase changes without sufficient time for thermalization.
- To provide a theoretical foundation for phase-field models in analyzing highly nonequilibrium systems.
Main Methods:
- Analytical treatment of fast phase transitions.
- Derivation of non-Markovian master equations.
- Focus on processes lacking energy or momentum thermalization.
Main Results:
- Developed non-Markovian master equations applicable to fast phase transitions.
- Demonstrated that these equations account for the lack of local thermalization.
- Established a physical basis for evolution and transport equations within phase-field models.
Conclusions:
- The derived non-Markovian master equations offer a more accurate description of fast phase transitions.
- These equations are crucial for understanding and modeling rapid phase changes in highly nonequilibrium systems.
- Provides enhanced theoretical underpinnings for phase-field modeling in materials science and physics.
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