Green–Kubo formula derived from large deviation statistics

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 2002, vol. 309, issue 3, 268-274

Abstract: Numerical calculations for many physical systems including chaos and turbulence have been greatly developed in recent years. We often investigate the characteristics of the time series for chaotic systems and study the essential laws underlying its time series. We show the important characteristics which are sometimes not pointed out. One of them is the Green–Kubo formula, which holds for the time series that satisfies the large deviation statistics. Extended version for the relation is shown in this paper and a simple example is given. The relationship between the Green–Kubo formula and the large deviation statistics is emphasized.

Keywords: Green–Kubo formula; Large deviation statistics; Fluctuation dissipation theorem; Thermodynamic formalism; Logistic map (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437102005678
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:309:y:2002:i:3:p:268-274

DOI: 10.1016/S0378-4371(02)00567-8

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().