50 citations · 507 across the 43 of their papers we have counts for
21 papers · 1 filter
Probabilities of rare events in product kernel aggregation: An exact formula and phase diagram
R. Goutham, R. Rajesh, V. Subashri +1
We present an exact method for calculating the large deviation function describing rare fluctuations in the number of particles for product-kernel aggregation. Starting from the ma…
Exact calculation of the large deviation function for -nary coalescence
R. Rajesh, V. Subashri, Oleg Zaboronski
We study probabilities of rare events in the general coalescence process, , where . For arbitrary , by rewriting these probabilities in terms…
Exact calculation of the probabilities of rare events in cluster-cluster aggregation
R. Rajesh, V. Subashri, Oleg Zaboronski
We develop an action formalism to calculate probabilities of rare events in cluster-cluster aggregation for arbitrary collision kernels and establish a pathwise large deviation pri…
A Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation
Rahul Dandekar, R. Rajesh, V. Subashri +1
We develop a biased Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation for arbitrary collision kernels. Given a trajectory with a fixed nu…
Sample-path large deviations for stochastic evolutions driven by the square of a Gaussian process
Freddy Bouchet, Roger Tribe, Oleg Zaboronski
Recently, a number of physical models has emerged described by a random process with increments given by a quadratic form of a fast Gaussian process. We find that the rate function…
Stationary mass distribution and nonlocality in models of coalescence and shattering
Colm Connaughton, Arghya Dutta, R. Rajesh +2
We study the asymptotic properties of the steady state mass distribution for a class of collision kernels in an aggregation-shattering model in the limit of small shattering probab…
Universality properties of steady driven coagulation with collisional evaporation
Colm Connaughton, Arghya Dutta, R. Rajesh +1
Irreversible aggregation is an archetypal example of a system driven far from equilibrium by sources and sinks of a conserved quantity (mass). The source is a steady input of monom…
Langevin dynamics, large deviations and instantons for the quasi-geostrophic model and two-dimensional Euler equations
Freddy Bouchet, Jason Laurie, Oleg Zaboronski
We investigate a class of simple models for Langevin dynamics of turbulent flows, including the one-layer quasi-geostrophic equation and the two-dimensional Euler equations. Starti…
Collective oscillations in driven coagulation
Robin C. Ball, Colm Connaughton, Peter P. Jones +2
We present a novel form of collective oscillatory behavior in the kinetics of irreversible coagulation with a constant input of monomers and removal of large clusters. For a broad…
On the Non-equilibrium Phase Transition in Evaporation-Deposition Models
Colm Connaughton, R. Rajesh, Oleg Zaboronski
We study a system of diffusing-aggregating particles with deposition and evaporation of monomers. By combining theoretical and numerical methods, we establish a clearer understandi…
Constant Flux Relation for diffusion limited cluster-cluster aggregation
Colm Connaughton, R. Rajesh, Oleg Zaboronski
In a non-equilibrium system, a Constant Flux Relation (CFR) expresses the fact that a constant flux of a conserved quantity exactly determines the scaling of the particular correla…
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…
Constant flux relation for driven dissipative systems
Colm Connaughton, R. Rajesh, Oleg Zaboronski
Conservation laws constrain the stationary state statistics of driven dissipative systems because the average flux of a conserved quantity between driving and dissipation scales sh…
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…
Persistence properties of a system of coagulating and annihilating random walkers
Supriya Krishnamurthy, R. Rajesh, Oleg Zaboronski
We study a d-dimensional system of diffusing particles that on contact either annihilate with probability 1/(q-1) or coagulate with probability (q-2)/(q-1). In 1-dimension, the sys…
Kang-Redner Anomaly in Cluster-Cluster Aggregation
Supriya Krishnamurthy, R. Rajesh, Oleg Zaboronski
The large time, small mass, asymptotic behavior of the average mass distribution $\pb$ is studied in a -dimensional system of diffusing aggregating particles for $1\leq d \leq 2…
Stochastic Aggregation of Point Particles Revisited
Oleg Zaboronski
In the present letter we employ the method of the dynamical renormalisation group to compute the average mass distribution of aggregating point particles in 2 dimensions in the reg…