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Temporal behavior of a solute cloud in a heterogeneous porous medium: 1. Point‐like injection
We investigate the temporal behavior of transport coefficients in a model for transport of a solute through a spatially heterogeneous saturated aquifer. In the framework of a stochastic approach weExpand
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Temporal behavior of a solute cloud in a heterogeneous porous medium 2. Spatially extended injection.
We investigate the temporal behavior of transport coefficients in a stochastic model for transport of a solute through a spatially heterogeneous saturated aquifer. While the first of these twoExpand
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Temporal behaviour of a solute cloud in a chemically heterogeneous porous medium
In this paper we investigate the temporal behaviour of a solute cloud in a heterogeneous porous medium using a stochastic modelling approach. The behaviour of the plume evolving from a point-likeExpand
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Stratified disordered media: exact solutions for transport parameters and their self-averaging properties
We investigate the transport of a passive tracer in a two-dimensional stratified random medium with flow parallel and perpendicular to the strata. Assuming a Gaussian random flow with a GaussianExpand
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Transients and basins of attraction in neutral network models
Approximate dynamic mean field equations for a generalized Hopfield model are derived, which allow to calculate transient properties of this model. These equations are exact for short times and yieldExpand
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Numerical studies of the transport behavior of a passive solute in a two-dimensional incompressible random flow field.
We study the transport behavior of a passive scalar in a two-dimensional (2D) time-independent Gaussian random velocity field by efficient and highly accurate numerical simulations. The model underExpand
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Digital design at a crossroads How to make statistical design methodologies industrially relevant
Statistical analysis is generally seen as the next EDA technology for timing and power sign-off. Research into this field has seen significant activity started about five years ago. Recently,Expand
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Temporal behavior of a solute cloud in a heterogeneous porous medium 3. Numerical simulations
[1] The article presents systematic numerical simulations of the temporal behavior of a passive solute in a saturated three-dimensional heterogeneous medium. The groundwater flow is derived from theExpand
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Upper critical dimension of the Kardar-Parisi-Zhang equation
The strong-coupling regime of Kardar-Parisi-Zhang surface growth driven by short-ranged noise is shown to have an upper critical dimension d. less than or equal to four [where the dynamic exponent zExpand
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Effective parameters in heterogeneous and homogeneous transport models with kinetic sorption
Transport of dissolved tracers undergoing kinetic sorption in saturated porous media is described on the basis of a dual-porosity model with heterogeneous and cross-correlated sorption parameters,Expand
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