Sentence examples for master equation describes from inspiring English sources

The master equation describes the time evolution of the probability of the system to occupy each one of the discrete sets of states (see Supporting Information S1).

The chemical master equation describes the time evolution of the system state probability distribution, i.e. how probable it is that a chemical species in the system will have specific particle numbers at a specific point in time.

In multiscale modeling of heterogeneous catalytic processes, one crucial point is the solution of a Markovian master equation describing the stochastic reaction kinetics.

The first step is to formulate a master equation describing the evolution of the probability distribution of neural activity (P_{n} (t)) in such a network.

We extend the theory of noise-induced phase synchronization to the case of a neural master equation describing the stochastic dynamics of an ensemble of uncoupled neuronal population oscillators with intrinsic and extrinsic noise.

In this paper we extend the theory of noise-induced phase synchronization to the case of a neural master equation describing the stochastic dynamics of an ensemble of uncoupled neuronal population oscillators with intrinsic and extrinsic noise.

Assuming that the resting state occurs in the neighborhood of a weakly stable node or focus, to start with we can use the results of the system-size expansion of the E–I master equation described earlier.

The perturbative solution of the master equation describing the system is now significantly more involved than in previous models; the underlying reason for this is that the computation of the noise correlators to order Ω0 requires the inversion of a 6 × 6 matrix as opposed to a 3 × 3 one in previous models (see Methods for details).

Due to the fact that previously proposed CFQM exponential integrators of order five or higher involve negative coefficients in the linear combinations, severe instabilities are observed for spatially semi-discretised parabolic equations or for master equations describing dissipative quantum systems.

We derive a family of stochastic master equations describing homodyne measurement of multi-qubit diagonal observables in circuit quantum electrodynamics.

Besides CME, the method has been additionally applied to a system of master equations describing a self-regulatory gene.