Sentence examples for used to model diffusion from inspiring English sources

The random walk technique is commonly used to model diffusion in the environment.

Nonlocal problems have been recently widely used to model diffusion processes (see [2] and [3] for a general nonlocal vector calculus).

We have developed synthetic networks that can be used to model diffusion processes for large numbers of agents (106 - 10) in a variety of domains [ 1].

Diffusion coefficients used to model the diffusion of K+, Na+, and 18C6 in water are 0.00196, 0.00163, and 0.00060 μm/μs, respectively.

While the fractional space derivatives are used to model irregular diffusion or dispersion, where a particle follow spreads at a rate not in agreement with the classical Brownian motion model, and the follow can be asymmetric [1 3].

Fractional space derivatives are used to model anomalous diffusion or dispersion, where a particle plume spreads at a rate inconsistent with the classical Brownian motion model.

Fractional partial order diffusion equations are a generalization of classical partial differential equations, used to model anomalous diffusion phenomena.

The continuous time random walk, introduced in the physics literature by Montroll and Weiss, has been widely used to model anomalous diffusion in external force fields.

Since the long-rang effects are taken into account, nonlocal diffusion equations of the form ∂ ∂ t u ( x, t ) = J ∗ u − u ( x, t ) = ∫ R N J ( x − y ) ( u ( y, t ) − u ( x, t ) ) d y (1.2). have been widely used to model the diffusion processes (see [1 6] and references therein).

In the case of Hosokawa et al. (2011), flux-limited diffusion was used to model the diffuse component of the radiation, and the effects of radiation pressure were included.

Moreover, fractional generalized Langevin equation with external force is used to model single-file diffusion.