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Liquid-liquid phase transition for an attractive isotropic potential with wide repulsive range
Gianpietro Malescio1, Giancarlo Franzese, Anna Skibinsky
1Dipartimento di Fisica, Università di Messina and Istituto Nazionale Fisica della Materia, 98166 Messina, Italy.
Summary
This study reveals how potential parameters influence phase diagrams, showing a balance creates two distinct fluid-fluid critical points. The findings detail differing relationships between repulsive and attractive forces for short and long soft-core ranges.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Soft Matter Physics
Background:
- Many-body systems with soft-core potentials exhibit complex phase behavior, including liquid-liquid phase transitions.
- Previous research focused on short soft-core ranges; this study extends the analysis to large soft-core ranges.
Purpose of the Study:
- To investigate the impact of potential parameter variations on the phase diagram of a repulsive soft-core attractive potential.
- To explore the conditions leading to multiple fluid-fluid critical points.
Main Methods:
- Utilizing an integral equation approach within the hypernetted-chain approximation.
- Applying a modified van der Waals equation to analyze the potential's behavior.
Main Results:
- A balance between attractive and repulsive parts of the potential results in two well-separated fluid-fluid critical points.
- For short soft-core ranges, U(R)/U(A) is proportional to w(R)/w(A).
- For large soft-core ranges, U(R)/U(A) is proportional to 3w(R)/w(A).
Conclusions:
- The phase diagram's complexity, including multiple critical points, is sensitive to the balance and range of attractive and repulsive interactions.
- The derived relationships provide quantitative insights into tuning phase behavior in soft matter systems.