๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Approximative analytical method for some Langevin dynamical systems

โœ Scribed by Emmanuel Pereira


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
472 KB
Volume
388
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

โœฆ Synopsis


We develop an approach which leads to an analytically treatable integral representation for the steady state correlation functions of some Langevin dynamical systems, which are related to the microscopic Hamiltonian description of the heat mechanism. For the simpler case of harmonic interactions (where rigorous results exist and a comparison with our method is possible), we perform the computations for the thermal conductivity (given by two-point functions) and show that our approximative scheme works perfectly well.


๐Ÿ“œ SIMILAR VOLUMES


A FREQUENCY DOMAIN BASED NUMERICโ€“ANALYTI
โœ S. Narayanan; P. Sekar ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

In this paper a multiharmonic balancing technique is used to develop certain algorithms to determine periodic orbits of non-linear dynamical systems with external, parametric and self excitations. Essentially, in this method the non-linear differential equations are transformed into a set of non-lin

Chaos for some infinite-dimensional dyna
โœ Ryszard Rudnicki ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 145 KB

## Abstract This paper is devoted to the problem of chaotic behaviour of infiniteโ€dimensional dynamical systems. We give a survey of different approaches to study of chaotic behaviour of dynamical systems. We mainly discuss the ergodicโ€theoretical approach to chaos which bases on the existence of i