Sentence examples for mean field limit from inspiring English sources

We can now give the mean field limit for N→∞.

In the mean field limit, this event becomes deterministic and its value can be fixed through a self consistent procedure.

We show that Bose Einstein condensates in a honeycomb optical lattice can be described by a nonlinear Dirac equation in the long wavelength, mean field limit.

This implies the Mean Field limit to the Vlasov system together with Propagation of Chaos through the strong convergence of all the marginals.

More similar to the analysis carried out here is that proposed in [13] where the authors consider the overall system performance in the mean field limit for ECN/RED.

The initial state of the TCP connections is chosen with uniform probability between 1 and I p, while all the UDP objects start from state 1. Figure 2 shows a comparison between the mean field limit and a simulation trace obtained with different numbers of objects in terms of normalised queue length.

The mean-field limit processes are defined in (9) and (5).

We assume that each population supports a stable limit cycle in the deterministic or mean-field limit.

To first order, the finite-size effects can be characterized as Gaussian fluctuations around the mean-field limit.

These equations can be interpreted in terms of coupled neural populations and can be derived as a mean-field limit from large networks.

In this part, we analyze the convergence of the N-neurons system given in (4) to the mean-field limit described in (9).