Non-quantum uncertainty relations of stochastic dynamics

Qiuping A. Wang

Chaos, Solitons & Fractals, 2005, vol. 26, issue 4, 1045-1052

Abstract: First we describe briefly an information-action method for the study of stochastic dynamics of Hamiltonian systems perturbed by thermal noise and chaotic instability. It is shown that, for the ensemble of possible paths between two configuration points, the action principle acquires a statistical form 〈δA〉=0. The main objective of this paper is to prove that, via this information-action description, some quantum like uncertainty relations such as 〈ΔA〉⩾12η for action, 〈Δx〉〈ΔP〉⩾1η for position and momentum, and 〈ΔH〉〈Δt〉⩾12η for Hamiltonian and time, can arise for stochastic dynamics of classical Hamiltonian systems. A corresponding commutation relation can also be found. These relations describe, through action or its conjugate variables, the fluctuation of stochastic dynamics due to random perturbation characterized by the parameter η.

Date: 2005
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077905002845
Full text for ScienceDirect subscribers only

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:chsofr:v:26:y:2005:i:4:p:1045-1052

DOI: 10.1016/j.chaos.2005.03.012

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().