Macroscopic response to microscopic intrinsic noise in three-dimensional Fisher fronts.

Hybrid method for simulating front propagation in reaction-diffusion systems.

We study the propagation of pulled fronts in the A<--> A+A microscopic reaction-diffusion process using Monte Carlo simulations. In the mean field approximation the process is described by the deterministic Fisher-Kolmogorov-Petrovsky-Piscounov equation. In particular, we concentrate on the corrections to the deterministic behavior due to the number of particles per correlated volume Omega. By ...

Microscopic and Macroscopic Modeling of Thermonuclear Burning Fronts

Emergence of pulled fronts in fermionic microscopic particle models.

We study the emergence and dynamics of pulled fronts described by the Fisher-Kolmogorov-Petrovsky-Piscounov (FKPP) equation in the microscopic reaction-diffusion process A+A<-->A on the lattice when only a particle is allowed per site. To this end we identify the parameter that controls the strength of internal fluctuations in this model, namely, the number of particles per correlated volume. W...

Microscopic Models of Hydrodynamic Behavior

We review recent developments in the rigorous derivation of hydrodynamic-type macroscopic equations from simple microscopic models: continuous time stochastic cellular automata. The deterministic evolution of hydrodynamic variables emerges as the "law of large numbe~s," which holds with probability one in the limit in which the ratio of the microscopic to the macroscopic spatial and temporal sc...

Computer Simulation of Equidxed Eutectic Solidifiction of Metals

In the present work, the solidification process was simulated in both macroscopic and microscopic scales. Two-dimensional heat transfer equation for conduction was applied for macroscopic modeling using enthalpy formulation and finite element method. In order to decrease execution time and/or memory capacity in finite analysis, skyline mathematical technique was adapted. The microenthalpy metho...