Related Experiment Videos
Spatially periodic stochastic system with infinite globally coupled oscillators
1Lehrstuhl für Theoretische Physik I, Institut für Physik, Universität Augsburg, Universitässtrasse 1, D-86135 Augsburg, Germany.
Summary
This study explores nonequilibrium transitions in globally coupled stochastic oscillators. Researchers found that varying the driving force F can induce continuous or discontinuous transitions and hysteresis in the system's mean field.
Area of Science:
- Statistical Physics
- Nonlinear Dynamics
- Complex Systems
Background:
- Stochastic systems with globally coupled oscillators are fundamental in various scientific fields.
- Understanding nonequilibrium transitions is crucial for characterizing system dynamics far from thermal equilibrium.
- The influence of external driving forces on such systems remains an active area of research.
Purpose of the Study:
- To investigate the nonequilibrium phase transitions in a spatially periodic system of infinite globally coupled oscillators.
- To analyze the impact of a constant driving force (F) on the system's mean field behavior.
- To differentiate transition types (phase transition vs. non-phase transition) and explore emergent phenomena like transport.
Main Methods:
- Simulation of two distinct models of globally coupled stochastic oscillators.
- Analysis of the system's mean field (s) as a function of the driving force (F).
- Characterization of transitions, including order (second order) and type (continuous/discontinuous), and observation of hysteresis.
Main Results:
- At F=0, a nonequilibrium transition occurs between zero and nonzero mean field states.
- Model I exhibits a non-phase transition, while Model II shows a second-order phase transition at F=0.
- For systems with additive noise and F=0, transport can emerge due to symmetry breaking by a nonzero mean field.
- Varying F leads to continuous or discontinuous transitions between positive (s>0) and negative (s<0) mean field states.
- Hysteresis in the mean field or current as a function of F was observed.
Conclusions:
- The study demonstrates rich nonequilibrium dynamics in globally coupled stochastic oscillators, influenced by external driving forces.
- The type of transition and emergent phenomena depend on the specific model and system parameters.
- The findings highlight the potential for symmetry breaking to drive transport and the occurrence of hysteresis in driven stochastic systems.