期刊
PHYSICAL REVIEW LETTERS
卷 126, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.126.104101
关键词
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资金
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Collaborative Research Center (SFB) 1032 [201269156]
- Excellence Cluster ORIGINS under Germany's Excellence Strategy [EXC-2094-390783311]
The study explores how wavelength selection in reaction-diffusion systems is achieved through a combination of coarsening processes and counteracting processes. By deriving a general coarsening criterion, it is found that coarsening is typically uninterrupted in systems that conserve mass.
Wavelength selection in reaction-diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by self-amplifying mass transport between neighboring high-density domains. We derive a general coarsening criterion and show that coarsening is generically uninterrupted in two-component systems that conserve mass. The theory is then generalized to study interrupted coarsening and anticoarsening due to weakly broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.
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