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Phase transition induced by a shock wave in hard-sphere and hard-disk systems
Nanrong Zhao1, Masaru Sugiyama, Tommaso Ruggeri
1College of Chemistry, Sichuan University, Chengdu 610064, People's Republic of China. zhaonanr@yahoo.com
The Journal of Chemical Physics
|August 14, 2008
Summary
Shock waves induce dynamic phase transitions in hard-sphere and hard-disk systems. The P-2 case, involving coexistence states, is identified as the most probable transition pathway.
Area of Science:
- Condensed Matter Physics
- Thermodynamics
- Fluid Dynamics
Background:
- Shock waves can induce dynamic phase transitions in materials.
- Understanding these transitions is crucial for material science and physics.
Purpose of the Study:
- To analyze shock-induced dynamic phase transitions in hard-sphere and hard-disk systems.
- To classify Hugoniot types based on thermodynamic states and shock strength.
- To determine the most probable phase transition pathway.
Main Methods:
- Analysis of Euler equations with caloric and thermal equations of state.
- Investigation of Rankine-Hugoniot conditions.
- Application of the maximum entropy production rate principle.
Main Results:
- Quantitative classification of Hugoniot types (P-1 and P-2).
- Detailed analysis of phase transitions in P-1 (metastable liquid to stable solid) and P-2 (coexistence states).
- The P-2 case is predicted as the most probable dynamic phase transition pathway.
Conclusions:
- The maximum entropy production rate rule favors the P-2 constitutive equation for dynamic phase transitions.
- Hard-sphere and hard-disk systems serve as valuable models for studying shock-induced phase transitions in condensed matter.
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