Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics

Abstract

We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and compare their performance with efficient deterministic finite-difference method applied to the same model. We validate the stochastic methods on the test problems and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations. We confirm the emergence of steady oscillations of densities in such systems and prove the stability of the oscillations with respect to fluctuations and noise.

19 pages, 2 figures, 4 tables

References in corpus (6)

• Oscillations in aggregation-shattering processes
• Steady oscillations in aggregation-fragmentation processes
• Phase Transitions in Systems with Aggregation and Shattering
• Hopf bifurcation in addition-shattering kinetics
• Analysis of Clumps in Saturn's F Ring from Voyager and Cassini
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Cited by in corpus (7)

• A Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation
• Finite Size Effects in Addition and Chipping Processes
• Hydrodynamic equations for space-inhomogeneous aggregating fluids with first-principle kinetic coefficients
• Rate equation limit for a combinatorial solution of a stochastic aggregation model
• Stability condition of the steady oscillations in aggregation models with shattering process and self-fragmentation
• Exact solutions of temperature-dependent Smoluchowski equations
• Origin of the spontaneous oscillations in a simplified coagulation-fragmentation system driven by a source