High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
Applied Numerical Mathematics - Special issue celebrating the centenary of Runge-Kutta methods
A Fourier-wavelet Monte Carlo method for fractal random fields
Journal of Computational Physics
Numerical simulation of randomly forced turbulent flows
Journal of Computational Physics
Mathematics of Computation
Spectral methods for mesoscopic models of pattern formation
Journal of Computational Physics
Mesoscopic simulation of Ostwald ripening
Journal of Computational Physics
Mesoscopic simulation for self-organization in surface processes
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
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The self-organization of particles in a two-phase system in the coexistence region through a diffusive mechanism is known as Ostwald ripening. A mesoscopic model derived from the spin exchange Ising model is used here in a computational study of Ostwald ripening. The typical cluster size is observed to grow like Lifshitz-Slyozov growth law over an early range of times with faster growth at later times. The effect of changing the concentration of particles on the morphological evolution of the system is also discussed.