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Coupling-reentrant phase transition, complex hysteretic behavior, and efficiency optimization in coupled phase
S E Mangioni1, R R Deza, H S Wio
1Departamento de Física, FCEyN, Universidad Nacional de Mar del Plata, Deán Funes 3350, Argentina. smangio@mdp.edu.ar
Summary
This study explores how colored noise affects phase transitions in nonlinear oscillator systems. Researchers found that the correlation time of noise influences both phase boundaries and the transition between interaction-driven and noise-driven transport regimes.
Area of Science:
- Nonlinear dynamics
- Statistical physics
- Complex systems
Background:
- A previous study analyzed a system of nonlinear phase oscillators with global coupling and local noise, observing a nonequilibrium phase transition to a ratcheting behavior.
- The prior work investigated the relationship between hysteresis loops, mean-field solutions, and the stationary probability distribution function (PDF).
Purpose of the Study:
- To investigate the impact of Ornstein-Uhlenbeck multiplicative noise with varying self-correlation time (tau) on a system of nonlinear phase oscillators.
- To analyze the dependence of phase boundaries and the transition between interaction-driven and noise-driven regimes on noise correlation time.
- To examine the influence of noise correlation time on transport properties and the stationary PDF for specific coupling and noise strength parameters.
Main Methods:
- Utilizing an effective Markovian approximation to model the system dynamics.
- Performing mean-field analysis to study phase transitions and transport phenomena.
- Investigating the dependence of system properties on the self-correlation time (tau) of multiplicative noise.
Main Results:
- The study reveals that the self-correlation time (tau) of multiplicative noise significantly affects the phase boundary and the transition line between interaction-driven and noise-driven regimes.
- For selected parameters, the dependence of transport properties, including efficiency (epsilon), on noise correlation time was elucidated.
- The influence of noise correlation time on the stationary mean-field probability distribution function (PDF) was also characterized.
Conclusions:
- The correlation time of multiplicative noise is a critical parameter that governs the collective behavior and transport properties of nonlinear oscillator systems.
- The findings provide a deeper understanding of noise-induced phenomena and phase transitions in complex systems, particularly highlighting the role of colored noise.