On the dynamic role of energy in underdamped particle motion

Claudia Venditti, Alessandra Adrover and Massimiliano Giona

Physica A: Statistical Mechanics and its Applications, 2022, vol. 597, issue C

Abstract: In his seminal work on stochastic particle transport in periodic potentials [1], claims that the overall energy, in underdamped conditions, plays the role of a slow dynamic variable, compared to position and velocity. The scope of this communication is to show that this claim is incorrect and that the conditions for the existence of a slow-invariant manifold fail in the low-friction limit. Nevertheless, the energy-based analysis developed by Risken to predict particle mobility remains substantially correct.

Keywords: Stochastic dynamics; Low-friction limit; Inertial manifolds; Washboard potential (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437122002412
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:597:y:2022:i:c:s0378437122002412

DOI: 10.1016/j.physa.2022.127285

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 ().