In this work we propose two theoretical schemes to characterize, through the mean passage time distribution, the nonlinear rotating transient stochastic dynamics: one is the quasi-deterministic approach valid for the long-time limit, and the other approach is valid for not so large times. The...

In this work, we report a new theoretical scheme to deal with the dynamical characterization of rotating unstable systems driven by both internal noise and constant external force. We use the quasideterministic (QD) approach and the passage time (PT) distribution to characterize the dynamical...

The matrix formalism of quasi-deterministic (QD) approach is developed to characterize, through the statistical properties of the passage time distributions, the rotating unstable Langevin-type dynamics under the influence of weak external fluctuations. The theory is developed for those two...

The constitutive equations corresponding to the Burnett regime are constructed by means of the projection operator method in an enlarged space of relevant variables, which coincide with the 13 moments in Grad’s method. The scheme of the fluctuating hydrodynamics is developed for such a regime...

In Physica A 237 (1997) 113, we have proposed in terms of Gaussian white noise (GWN) a generalized method, in terms of eigenfunctions and eigenvalues, of the quasideterministic (QD) approach and its connection with the nonlinear relaxation times (NLRT) to describe the transient stochastic...

In this work the formalism of the preceding reference, which we will refer to as paper I, is now extended to the case of Gaussian stochastic fluctuations of time-dependent external forces. For those general nonlinear systems of two variables the formalism is developed explicitly when the...

An alternative method in terms of a matricial formulation of quasideterministic (QD) approach and its connection with the nonlinear relaxation times (NLRT) has recently been proposed by (Jiménez-Aquino, 1997), to characterize the decay of unstable states of nonlinear systems, in the context of...

The objective of this paper is to generalize the formulation, reported in previous works, which we term as standard formulation of quasideterministic approach, to multivariate unstable systems. As usual, the new formalism is connected with the nonlinear relaxation times, to characterize the...

A systematic method is developed for the calculation of characteristic times, called nonlinear relaxation times (NLRT), to describe the dynamical relaxation of the linear transient stochastic systems whose control parameters are time-dependent functions. For those control parameters, which are...

In this work we show that the generalized formalism of the Quasideterministic (QD) approach and its connection with the Nonlinear Relaxation Times (NLRT), is absolutely consistent with 3×3 matricial models whose elements of matrix are all different from zero, in the context of both Gaussian...