# Relation between Langevin type equation driven by the chaotic force and stochastic differential equation

## Related Articles

- The Theory of Individual Based Discrete-Time Processes. Challenger, Joseph; Fanelli, Duccio; McKane, Alan // Journal of Statistical Physics;Jul2014, Vol. 156 Issue 1, p131
A general theory is developed to study individual based models which are discrete in time. We begin by constructing a Markov chain model that converges to a one-dimensional map in the infinite population limit. Stochastic fluctuations are hence intrinsic to the system and can induce qualitative...

- Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise. Nakao, Hiroya; Teramae, Jun-nosuke; Goldobin, Denis S.; Kuramoto, Yoshiki // Chaos;Sep2010, Vol. 20 Issue 3, p033126
An effective white-noise Langevin equation is derived that describes long-time phase dynamics of a limit-cycle oscillator driven by weak stationary colored noise. Effective drift and diffusion coefficients are given in terms of the phase sensitivity of the oscillator and the correlation function...

- Stochastic difference equations for a spin system. Falk, H. // Journal of Mathematical Physics;Apr85, Vol. 26 Issue 4, p692
An N-spin model is given with a discrete-time evolution specified by a system of stochastic difference equations. A Markov chain associated with the evolution is decomposed into two, nonhomogeneous, absorbing Markov chains. Analysis of each chain yields the probability, given a specific initial...

- Langevin approach to generate synthetic turbulent flows. Marti, A.C.; Sancho, J.M. // Physics of Fluids;Apr97, Vol. 9 Issue 4, p1078
Presents an analytical scheme to generate synthetic Gaussian turbulent flows by using a linear Langevin equation. Action of the noise term as a stochastic stirring force; Characteristic parameters of the velocity field; Diffusion of a passive scalar for two different energy spectra.

- Mass—Energy Distribution of Fragments from the Fission of Excited Nuclei within Three-Dimensional Langevin Dynamics. Nadtochy, P. N.; Karpov, A. V.; Vanin, D. V.; Adeev, G. D. // Physics of Atomic Nuclei;
Two-dimensional mass-energy distributions of fission fragments are calculated for the first time on the basis of three-dimensional stochastic Langevin equations. In these calculations, the emission of light prescission particles is taken into account within the statistical model. The results...

- Entropy production and heat generation in computational processes. Fuchikami, Nobuko; Iwata, Hijiri; Ishioka, Shunya // AIP Conference Proceedings;2000, Vol. 511 Issue 1, p341
To make clear several issues relating with the thermodynamics of computations, we perform a simulation of a binary device using a Langevin equation. Based on our numerical results, we consider how to estimate thermodynamic entropy of computational devices. We then argue against the existence of...

- Langevin approach to the Porto system. Bok, J.; Čápek, V. // AIP Conference Proceedings;2002, Vol. 643 Issue 1, p332
M. Porto (Phys. Rev. E 63 (2001) 030102) suggested a system consisting of Coulomb interacting particles, forming a linear track and a rotor, and working as a molecular motor. Newton equations with damping for the rotor coordinate on the track x, with a prescribed time-dependence of the rotor...

- Dynamical correlations of two-dimensional vortex-like defects. Lebedev, V. V. // JETP Letters;11/25/99, Vol. 70 Issue 10, p691
High-order dynamical correlations of defects (quantum vortices, disclinations, etc.) in thin films are examined by starting from the Langevin equation for the defect motion. It is demonstrated that the dynamical correlation functions F[sub 2n] of the vorticity or disclinicity behave as F[sub...

- A generalized Langevin model for turbulent flows. Haworth, D. C.; Pope, S. B. // Physics of Fluids (00319171);Feb86, Vol. 29 Issue 2, p387
A Langevin model appropriate to constant property turbulent flows is developed from the general equation for the fluid particle velocity increment proposed by Pope in an earlier paper [Phys. Fluids 26, 404 (1983)]. This model can be viewed as an analogy between the turbulent velocity of a fluid...