Volume 90, Number 3, May 2010
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||25 May 2010|
Mixing state of bi-component mixtures under aggregation with a product kernel
Department of Physics, University of Oviedo - C/Calvo Sotelo s/n, E-33007 Oviedo, Spain, EU
Corresponding author: firstname.lastname@example.org
Accepted: 28 April 2010
We analyze the aggregation of a two-component system with a product kernel, to determine its evolution in time during a progressive mixing. The evolution is governed by the Smoluchowski equation, yielding gelation from a certain time. In the past, equilibrium (or asymptotic) solutions have been used to study mixing of bi-component mixtures for non-gelling kernels. In this letter we show that asymptotic solutions are invalid to describe the mixing behavior for the product kernel case (even before gelation). Besides, an equilibrium concentration is not reached. On the contrary, particles with any composition exist all time.
PACS: 45.70.-n – Granular systems / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.