Sentence examples for * long time limit from inspiring English sources

The analysis is limited to two dimensions and assumes quasi-stationary distributions in the long time limit.

Hence, the importance of investigating fractional equations arises from the necessity to sharpen the concepts of equilibrium, stability states, and time evolution in the long time limit.

The response dynamics of the model have been investigated to identify the possible parameter estimation strategies and in order to predict the long time limit behaviour.

The self-similar solutions of the Fokker Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit.

In addition, steady-state Laplace PDEs can be formulated to produce the homogenized diffusion tensor that describes the diffusion characteristics of the medium in the long time limit.

Then, the cumulant generating function in the long time limit is given by F ( χ ; t ) = λ 0 t, where λ0 denotes the minimum eigenvalue of W that develops adiabatically from 0 with χ.

This can be done by establishing a month-long time limit for approvals, and providing research assistance to Japanese companies.

When q→ 0, σ vv → v eq 2 at long-time limit.

The thermal fluctuations are still oscillating functions even in the long-time limit.

However, the detailed features of the σxx, σvv, and σxv are different in the long-time limit (superscript ∞).

We note that these values of b and q correspond to the minimum position fluctuations in the long-time limit, as will be shown later.