7 citations · 7 across the 1 of their papers we have counts for
8 papers
Constant flux relation for aggregation models with desorption and fragmentation
Colm Connaughton, R. Rajesh, Oleg Zaboronski
We study mass fluxes in aggregation models where mass transfer to large scales by aggregation occurs alongside desorption or fragmentation. Two models are considered. (1) A system…
Cluster-Cluster Aggregation as an Analogue of a Turbulent Cascade : Kolmogorov Phenomenology, Scaling Laws and the Breakdown of self-similarity
Colm Connaughton, R. Rajesh, Oleg Zaboronski
We present a detailed study of the statistics of a system of diffusing aggregating particles with a steady monomer source. We emphasise the case of low spatial dimensions where str…
Multi-Scaling of Correlation Functions in Single Species Reaction-Diffusion Systems
Ranjiva M. Munasinghe, R. Rajesh, Oleg V. Zaboronski
We derive the multi-fractal scaling of probability distributions of multi-particle configurations for the binary reaction-diffusion system in and for…
Breakdown of Kolmogorov scaling in models of cluster aggregation with deposition
Colm Connaughton, R. Rajesh, Oleg Zaboronski
The steady state of the model of cluster aggregation with deposition is characterized by a constant flux of mass directed from small masses towards large masses. It can therefore b…
Survival probability of a diffusing test particle in a system of coagulating and annihilating random walkers
R. Rajesh, Oleg Zaboronski
We calculate the survival probability of a diffusing test particle in an environment of diffusing particles that undergo coagulation at rate lambda_c and annihilation at rate lambd…
Stationary Kolmogorov Solutions of the Smoluchowski Aggregation Equation with a Source Term
Colm Connaughton, R. Rajesh, Oleg Zaboronski
In this paper we show how the method of Zakharov transformations may be used to analyze the stationary solutions of the Smoluchowski aggregation equation for arbitrary homogeneous…