Observation of Saddle-Point Avoidance in Noise-Induced Escape

D. G. Luchinsky, Robert S Maier, R. Mannella, P. V E McClintock, D. L. Stein

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

The first measurements of an exit location distribution are reported for an overdamped nonconservative system perturbed by weak white noise, modeled both numerically and by an analog electronic circuit. In the weak-noise limit the distribution is increasingly concentrated near a saddle point of the dynamics and is increasingly well approximated by a Weibull distribution, in agreement with theoretical predictions. A physical explanation for this behavior is given, which should facilitate the computation of corrections to the limiting form.

Original languageEnglish (US)
Pages (from-to)1806-1809
Number of pages4
JournalPhysical Review Letters
Volume82
Issue number9
StatePublished - Mar 1 1999

Fingerprint

avoidance
saddle points
escape
white noise
analogs
predictions
electronics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Luchinsky, D. G., Maier, R. S., Mannella, R., McClintock, P. V. E., & Stein, D. L. (1999). Observation of Saddle-Point Avoidance in Noise-Induced Escape. Physical Review Letters, 82(9), 1806-1809.

Observation of Saddle-Point Avoidance in Noise-Induced Escape. / Luchinsky, D. G.; Maier, Robert S; Mannella, R.; McClintock, P. V E; Stein, D. L.

In: Physical Review Letters, Vol. 82, No. 9, 01.03.1999, p. 1806-1809.

Research output: Contribution to journalArticle

Luchinsky, DG, Maier, RS, Mannella, R, McClintock, PVE & Stein, DL 1999, 'Observation of Saddle-Point Avoidance in Noise-Induced Escape', Physical Review Letters, vol. 82, no. 9, pp. 1806-1809.
Luchinsky DG, Maier RS, Mannella R, McClintock PVE, Stein DL. Observation of Saddle-Point Avoidance in Noise-Induced Escape. Physical Review Letters. 1999 Mar 1;82(9):1806-1809.
Luchinsky, D. G. ; Maier, Robert S ; Mannella, R. ; McClintock, P. V E ; Stein, D. L. / Observation of Saddle-Point Avoidance in Noise-Induced Escape. In: Physical Review Letters. 1999 ; Vol. 82, No. 9. pp. 1806-1809.
@article{25f3cec95d2f4ce0a5f35f7b3e0ad960,
title = "Observation of Saddle-Point Avoidance in Noise-Induced Escape",
abstract = "The first measurements of an exit location distribution are reported for an overdamped nonconservative system perturbed by weak white noise, modeled both numerically and by an analog electronic circuit. In the weak-noise limit the distribution is increasingly concentrated near a saddle point of the dynamics and is increasingly well approximated by a Weibull distribution, in agreement with theoretical predictions. A physical explanation for this behavior is given, which should facilitate the computation of corrections to the limiting form.",
author = "Luchinsky, {D. G.} and Maier, {Robert S} and R. Mannella and McClintock, {P. V E} and Stein, {D. L.}",
year = "1999",
month = "3",
day = "1",
language = "English (US)",
volume = "82",
pages = "1806--1809",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "9",

}

TY - JOUR

T1 - Observation of Saddle-Point Avoidance in Noise-Induced Escape

AU - Luchinsky, D. G.

AU - Maier, Robert S

AU - Mannella, R.

AU - McClintock, P. V E

AU - Stein, D. L.

PY - 1999/3/1

Y1 - 1999/3/1

N2 - The first measurements of an exit location distribution are reported for an overdamped nonconservative system perturbed by weak white noise, modeled both numerically and by an analog electronic circuit. In the weak-noise limit the distribution is increasingly concentrated near a saddle point of the dynamics and is increasingly well approximated by a Weibull distribution, in agreement with theoretical predictions. A physical explanation for this behavior is given, which should facilitate the computation of corrections to the limiting form.

AB - The first measurements of an exit location distribution are reported for an overdamped nonconservative system perturbed by weak white noise, modeled both numerically and by an analog electronic circuit. In the weak-noise limit the distribution is increasingly concentrated near a saddle point of the dynamics and is increasingly well approximated by a Weibull distribution, in agreement with theoretical predictions. A physical explanation for this behavior is given, which should facilitate the computation of corrections to the limiting form.

UR - http://www.scopus.com/inward/record.url?scp=0001479781&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001479781&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001479781

VL - 82

SP - 1806

EP - 1809

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 9

ER -