Sentence examples for master equations in from inspiring English sources

Solute segregation and antiphase boundary (APB) migration in a B2-ordered single phase were studied using computer simulations based on the microscopic master equations in the point approximation with both first- and second-neighbor pair interactions.

Implementation and direct simulations of the array-representation compact IIF (AcIIF) on systems, such as Fokker Planck equations in three and four dimensions and chemical master equations, in addition to reaction diffusion equations, show efficiency, accuracy, and robustness of the new method.

The toggle switch model used in this study and all possible chemical reactions in the model are extracted directly from the master equations in [ 18].

The master equations in the form of the Eqs.S4 and S5 are an infinite set of coupled non-linear differential equations and do not in general admit an exact solution but may be solved numerically.

We can calculate these probabilities solving the system of the stationary master equations in Eq. 1 for p ˙ l (t ) = 0, or equivalently using the Hill algorithm [ 9] that we have now implemented in the RaTrav tool.

We revisit the derivation of the master equation in order to give a unified description of spin dynamics in the presence of both nonlinear dynamics and photon scattering.

This explains the shift in the interpretation of the master equation in the study [9] following [8], and subsequently in [5] to the interpretation we presented in Sect.

In order to simulate evolution under this master equation, it is convenient to eliminate fast-rotating terms by expressing the master equation in a frame rotating with (H_{Q}).

He then carries out a van Kampen system size expansion of the associated master equation in the small parameter (1/N) to derive deterministic corrections of the neural field equation in the form of coupled differential equations for the moments.

Using equations (7) and (8) we expand the master equation in powers of the operators δ a ˆ j and δ a ˆ j †, ρ ˙ = ( L ( 1 ) + L ( 2 ) + L ( 3 ) + L ( 4 ) ) , (9).

A single master equation in which both the SET and RESET processes are accounted for simultaneously is controlled by the CF radius which thus gives the switching rate of the device.