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Additive noise in noise-induced nonequilibrium transitions
1Institute of Physics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Summary
Additive noise significantly impacts nonlinear systems, inducing phase transitions and pattern formation. It also modifies doubly stochastic resonance, distinct from conventional stochastic resonance.
Area of Science:
- Nonlinear dynamics
- Statistical physics
- Complex systems
Background:
- Nonlinear systems often exhibit complex behaviors, including transitions far from equilibrium.
- The role of noise, particularly additive noise, in these transitions is crucial but not fully understood.
Purpose of the Study:
- To investigate the multifaceted effects of additive noise on nonlinear systems.
- To elucidate the mechanisms behind noise-induced nonequilibrium transitions and pattern formation.
- To differentiate doubly stochastic resonance from conventional stochastic resonance.
Main Methods:
- Analysis of various nonlinear systems.
- Mathematical modeling of noise-induced phenomena.
- Comparison of different types of stochastic resonance.
Main Results:
- Additive noise can induce first- and second-order phase transitions.
- It can alter on-off intermittency and stabilize oscillations.
- Additive noise drives pattern formation in the Swift-Hohenberg model.
- Doubly stochastic resonance is characterized by dual noise influences (multiplicative and additive).
Conclusions:
- Additive noise plays a nontrivial and diverse role in nonlinear systems.
- Doubly stochastic resonance presents unique characteristics compared to conventional stochastic resonance.
- The findings offer insights into pattern formation and resonance phenomena in complex systems.
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