Sentence examples for mean field interactions from inspiring English sources

We generalize the normal description of intercalation kinetics, based on diffusion of a lattice gas with mean field interactions, using an intercalation model system composed of different types of intercalation sites: a shallow site that allows diffusion of intercalated ions throughout the film, and deeper sites that trap the inserted charge for long times.

We use a mean field interaction model to characterize the distribution of number of peers in different video segments, based on which we characterize the content providers' uploading cost as a function of the peers' contribution.

We can improve the model further by assuming that the mean-field interaction slows down in the course of time.

It does not consider the subsequent aggregation of donations or a time dependence of the parameter τ describing the mean-field interaction between potential and actual donators.

As a new element of this dynamics, a time-dependent contagion rate appears which describes the mean-field interaction provided by the mass media.

In fact increasing the size of the metabolic neighbourhood means approaching the mean-field case (with respect to metabolic interactions) in the limit: we arrive at the mean-field interaction scheme with h =  L (i.e., at lattice size).

The model structure contains terms with localized interactions and mean field terms.

The experimental results are also compared with theoretical predictions derived from Odajima's microscopic model, which assumes a one-dimensional Ising model for the dipolar coupling along the polymer chains and a mean field theory for the interchain interaction.

A simple phenomenological approach to the problem is the mean field approximation with the nearest-neighbor interactions in the form (sum _{j (j not = i)} J_{ij}^{alpha }approx zJ^{alpha }) with coordination number z (the number of first neighbors of a given molecule in the lattice).

A simple phenomenological approach to the problem is the mean field approximation with the nearest-neighboring interactions in the form (sum _{j (j not = i)} J_{ij}approx zJ) with coordination number z (the number of the first neighbours of a given molecule in the lattice).

This situation can often be realized in the mean field theory, in which an effective interaction (e.g., exchange coupling in the Ising model) substitutes the many body interactions, involving the long-range ordering in the functional network [ 64, 70].