On metastability in nearly-elastic systems

Wenqing Hu

doi:10.3233/ASY-2011-1090

On metastability in nearly-elastic systems

Wenqing Hu

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider a nearly-elastic model system with one degree of freedom. In each collision with the "wall", the system can either lose or gain a small amount of energy due to stochastic perturbation. The weak limit of the corresponding slow motion, which is a stochastic process on a graph, is calculated. A large deviation type asymptotics and the metastability of the system are also considered.

Original language	English (US)
Pages (from-to)	65-86
Number of pages	22
Journal	Asymptotic Analysis
Volume	79
Issue number	1-2
DOIs	https://doi.org/10.3233/ASY-2011-1090
State	Published - 2012
Externally published	Yes

Keywords

Markov processes on graphs
averaging
large deviations
metastability
random walk

Publisher link

10.3233/ASY-2011-1090

Find It

Find It at U of M Libraries

Cite this

@article{1a70ff31b0c041d6a0653e12c979a376,

title = "On metastability in nearly-elastic systems",

abstract = "We consider a nearly-elastic model system with one degree of freedom. In each collision with the {"}wall{"}, the system can either lose or gain a small amount of energy due to stochastic perturbation. The weak limit of the corresponding slow motion, which is a stochastic process on a graph, is calculated. A large deviation type asymptotics and the metastability of the system are also considered.",

keywords = "Markov processes on graphs, averaging, large deviations, metastability, random walk",

author = "Wenqing Hu",

year = "2012",

doi = "10.3233/ASY-2011-1090",

language = "English (US)",

volume = "79",

pages = "65--86",

journal = "Asymptotic Analysis",

issn = "0921-7134",

publisher = "SAGE Publications Ltd",

number = "1-2",

}

TY - JOUR

T1 - On metastability in nearly-elastic systems

AU - Hu, Wenqing

PY - 2012

Y1 - 2012

N2 - We consider a nearly-elastic model system with one degree of freedom. In each collision with the "wall", the system can either lose or gain a small amount of energy due to stochastic perturbation. The weak limit of the corresponding slow motion, which is a stochastic process on a graph, is calculated. A large deviation type asymptotics and the metastability of the system are also considered.

AB - We consider a nearly-elastic model system with one degree of freedom. In each collision with the "wall", the system can either lose or gain a small amount of energy due to stochastic perturbation. The weak limit of the corresponding slow motion, which is a stochastic process on a graph, is calculated. A large deviation type asymptotics and the metastability of the system are also considered.

KW - Markov processes on graphs

KW - averaging

KW - large deviations

KW - metastability

KW - random walk

UR - http://www.scopus.com/inward/record.url?scp=84865488756&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865488756&partnerID=8YFLogxK

U2 - 10.3233/ASY-2011-1090

DO - 10.3233/ASY-2011-1090

M3 - Article

AN - SCOPUS:84865488756

SN - 0921-7134

VL - 79

SP - 65

EP - 86

JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 1-2

ER -

On metastability in nearly-elastic systems

Abstract

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this