CrossRef Open Access 2025 1 sitasi

Oscillatory instability in an Ostwald ripening process

Michael Wilkinson

Abstrak

Abstract This paper considers an Ostwald ripening process in which new droplets are injected at a constant rate, with a fixed distribution of radii, and in which droplets are removed when they grow to a specified maximum radius. This process exhibits a transition from a steady state to a limit cycle as a parameter is varied. The instability is shown to be related to the roots of the Laplace transform of a response kernel. A model is described which gives a good approximation of the period of the limit cycle. The system may also exhibit chaotic behaviour. The relevance of the model to atmospheric precipitation is discussed.

Penulis (1)

M

Michael Wilkinson

Format Sitasi

Wilkinson, M. (2025). Oscillatory instability in an Ostwald ripening process. https://doi.org/10.1088/1742-5468/adfe59

Akses Cepat

Lihat di Sumber doi.org/10.1088/1742-5468/adfe59
Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Total Sitasi
Sumber Database
CrossRef
DOI
10.1088/1742-5468/adfe59
Akses
Open Access ✓