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Identity of the universal repulsive-core singularity with Yang-Lee edge criticality
1Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.
Summary
Repulsive-core interactions in fluid models exhibit a critical singularity. This study analytically demonstrates its universality, linking it to Yang-Lee edge singularities using field theory.
Area of Science:
- Statistical mechanics
- Theoretical physics
- Fluid dynamics
Background:
- Fluid models with repulsive-core interactions show a critical singularity on the negative activity axis.
- Previous numerical studies suggested this singularity is universal and related to Yang-Lee edge singularities.
Purpose of the Study:
- To provide a general analytic demonstration of the universality of the repulsive-core singularity.
- To establish the connection between repulsive-core singularities and Yang-Lee edge singularities.
Main Methods:
- Employing a field-theory approach.
- Utilizing separate representations for repulsive and attractive components of pair interactions.
Main Results:
- An analytic demonstration confirming the universality of the repulsive-core singularity.
- Identification of this singularity with the Yang-Lee edge singularity class.
Conclusions:
- The repulsive-core singularity in fluid models is analytically shown to be universal.
- This singularity is confirmed to be in the same universality class as Yang-Lee edge singularities.