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Updated: Jul 23, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Interplay between noise and boundary conditions in pattern formation in adsorbed substances
Sergio E Mangioni1, Horacio S Wio
1Departamento de Física, FCEyN, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina.
Summary
Noise can induce pattern formation in adsorbed substances, altering surface adsorption behaviors. Varying albedo boundary conditions can transition systems from single to double stable patterns due to multiplicative noise.
Area of Science:
- Surface science
- Statistical physics
- Nonlinear dynamics
Background:
- Pattern formation is crucial in various scientific fields.
- Understanding noise effects on physical systems is essential.
- Adsorption phenomena involve complex surface interactions.
Purpose of the Study:
- To investigate how noise and boundary conditions influence pattern formation.
- To explore noise-induced pattern formation in adsorbed substances.
- To analyze the role of multiplicative noise and lateral interactions.
Main Methods:
- Utilized a deterministic model for pattern formation.
- Incorporated multiplicative noise with a fluctuation-dissipation relation.
- Examined solutions under various boundary conditions, including albedo.
Main Results:
- Identified noise-induced stable and unstable patterns.
- Demonstrated that multiplicative noise can create patterns independent of initial conditions.
- Observed a transition from monostable to noise-induced bistable behavior with changing albedo parameters.
Conclusions:
- Multiplicative noise significantly impacts pattern formation in adsorbed systems.
- Boundary conditions, specifically albedo, can control the system's stability landscape.
- This study provides insights into noise-driven transitions in surface phenomena.
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