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Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Relative-advection-induced instability in a reaction-diffusion-advection system
Chuanjun Dai1,2,3, Ruyi Zhou1, Qing Guo2
1Wenzhou University, School of Life and Environmental Science, Wenzhou, Zhejiang 325035, China.
Physical Review. E
|July 24, 2026
Summary
Flow-driven self-organization arises from relative advection instability (RAI). This instability depends on relative velocity differences, leading to emergent traveling waves and patterns even with equal diffusion coefficients.
Area of Science:
- Physics
- Chemical Engineering
- Mathematical Biology
Background:
- Reaction-diffusion-advection systems are crucial for understanding self-organization.
- Instability mechanisms in these systems drive pattern formation.
Purpose of the Study:
- To identify general conditions for instability in reaction-diffusion-advection systems.
- To formally define and characterize relative advection instability (RAI).
Main Methods:
- Theoretical analysis of d-dimensional reaction-diffusion-advection systems.
- Numerical simulations to validate theoretical predictions.
Main Results:
- Identified relative advection instability (RAI) dependent on relative velocity differences.
- Demonstrated critical wave vector alignment with advection direction, forming traveling waves.
- Showed RAI allows pattern formation with equal diffusion coefficients, unlike Turing instability.
Conclusions:
- RAI is a key mechanism for flow-driven self-organization.
- RAI offers a new paradigm for pattern formation, distinct from diffusion-driven mechanisms.
- Emergent patterns exhibit diverse wavelengths, speeds, and amplitudes.
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