Planck Constanta Application – Stochastic approaches to transport processes in heterogeneous media are driven by the need to use stochastic parameterizations of the model equations. Importantly, this results in the modeling of diffusion processes in random fields. For example, in stochastic subsurface hydrology, random hydraulic conductivity parameters generate random groundwater flow velocity fields, and solute transport is modeled by diffusion equations with random drift coefficient. Technically, the modeling techniques are based on equivalent Fokker-Planck and Itô representations of diffusion in random fields, i.e. from trajectories of computational molecules or particles and from the corresponding continuum-continuous fields.
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