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Numerical study of continuous and discontinuous dynamical phase transitions for boundary-driven systems
Ohad Shpielberg1,2, Yaroslav Don2, Eric Akkermans2
1Laboratoire de Physique Théorique, École Normale Supérieure and CNRS, 75005 Paris, France.
Physical Review. E
|April 19, 2017
Summary
This study provides numerical evidence for dynamical phase transitions in boundary-driven systems. Researchers observed both discontinuous and continuous transitions, expanding our understanding of system dynamics.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Physics
- Computational Physics
Background:
- Thermodynamic phase transitions are fundamental to understanding matter.
- Dynamical phase transitions in open systems are of significant scientific interest.
- Previous research has explored phase transitions in various physical models.
Purpose of the Study:
- To investigate dynamical phase transitions in boundary-driven systems.
- To analyze the nature of transitions (continuous vs. discontinuous).
- To test for phase transitions in the Kipnis-Marchioro-Presutti model over an extended range.
Main Methods:
- Numerical simulations were employed.
- Systems with constrained integrated current were analyzed.
- Density profiles and time-dependent behavior were examined.
Main Results:
- Numerical evidence for dynamical phase transitions was found.
- A discontinuous transition between distinct density profiles was observed.
- A continuous transition between time-independent and time-dependent profiles was identified.
- The Kipnis-Marchioro-Presutti model showed no phase transitions in a much larger range than previously studied.
Conclusions:
- Dynamical phase transitions can occur in constrained boundary-driven systems.
- The nature of these transitions can vary (discontinuous or continuous).
- The Kipnis-Marchioro-Presutti model appears robust against phase transitions within the explored parameter space.
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