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Phase-separation transition in one-dimensional driven models.

Y Kafri¹, E Levine, D Mukamel

¹Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel 76100.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 4, 2003

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This study introduces novel models of two-species driven diffusive systems that exhibit fluctuating relative densities during phase separation in one dimension. The research analyzes the phase transition using a new criterion for one-dimensional driven systems.

Area of Science:

Statistical physics
Complex systems

Background:

Phase separation is a common phenomenon in multi-component systems.
One-dimensional driven diffusive systems present unique challenges for studying phase transitions.

Purpose of the Study:

Introduce a new class of models for two-species driven diffusive systems.
Investigate phase separation in one-dimensional systems with fluctuating densities.
Analyze the nature of the phase transition.

Main Methods:

Development of a novel class of two-species driven diffusive models.
Analysis of macroscopic domain behavior.
Application of a recently introduced criterion for phase separation in 1D driven systems.

Main Results:

Related Experiment Videos

The introduced models exhibit phase separation in d=1 dimension.
The relative density of species fluctuates within the macroscopic domain of the phase-separated state.
The nature of the phase transition is characterized.

Conclusions:

The new models offer a unique perspective on phase separation with fluctuating densities.
The study contributes to understanding phase transitions in one-dimensional driven systems.