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Aggregation in non-uniform systems with advection and localized sourceстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 13 июля 2022 г.
- Авторы: Zagidullin R., Smirnov A.P., Matveev S., Brilliantov N.V., Krapivsky P.L.
- Журнал: Journal of Physics A: Mathematical and Theoretical
- Том: 55
- Номер: 26
- Год издания: 2022
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- Первая страница: 265001
- DOI: 10.1088/1751-8121/ac711a
- Аннотация: We explore analytically and numerically agglomeration driven by advection and localized source. The system is inhomogeneous in one dimension, viz along the direction of advection. It is characterized by the kinetic coefficients—the advection velocity, diffusion coefficient and the reaction kernel, quantifying the aggregation rates. We analyze a simplified model with mass-independent advection velocity, diffusion coefficient, and reaction rates. We also examine a model with mass-dependent coefficients arising in the context of aggregation with sedimentation. For the quasi-stationary case and simplified model, we obtain an exact solution for the spatially dependent agglomerate densities. For the case of mass-dependent coefficients we report a new conservation law and develop a scaling theory for the densities. For the numerical efficiency we exploit the low-rank approximation technique; this dramatically increases the computational speed and allows simulations of very large systems. The numerical results are in excellent agreement with the predictions of our theory.
- Добавил в систему: Матвеев Сергей Александрович