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Transient multimodality in relaxation from an unstable state.

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Transient multimodality in relaxation from an unstable state. / Iwaniszewski, J.; McClintock, Peter V. E.; Stein, N. D.
In: Physical Review E, Vol. 50, No. 5, 11.1994, p. 3538-3545.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Iwaniszewski, J, McClintock, PVE & Stein, ND 1994, 'Transient multimodality in relaxation from an unstable state.', Physical Review E, vol. 50, no. 5, pp. 3538-3545. https://doi.org/10.1103/PhysRevE.50.3538

APA

Iwaniszewski, J., McClintock, P. V. E., & Stein, N. D. (1994). Transient multimodality in relaxation from an unstable state. Physical Review E, 50(5), 3538-3545. https://doi.org/10.1103/PhysRevE.50.3538

Vancouver

Iwaniszewski J, McClintock PVE, Stein ND. Transient multimodality in relaxation from an unstable state. Physical Review E. 1994 Nov;50(5):3538-3545. doi: 10.1103/PhysRevE.50.3538

Author

Iwaniszewski, J. ; McClintock, Peter V. E. ; Stein, N. D. / Transient multimodality in relaxation from an unstable state. In: Physical Review E. 1994 ; Vol. 50, No. 5. pp. 3538-3545.

Bibtex

@article{16b9b71ff86c455d845f73ae68a9ad42,
title = "Transient multimodality in relaxation from an unstable state.",
abstract = "We analyse a relaxation process from an unstable state during which transient multimodality occurs. This phenomenon is investigated experimentally on an electronic analogue circuit which mimics an overdamped bistable oscillator described by a sixth--order polynomial U(x) and is driven by a Gaussian white noise. The measured times and positions at which new maxima appear in the probability distribution function agree well with the theoretical predictions. It is shown that the shape of the potential guarantees the existence of two different time scales, allowing for the coexistence of three probability distribution peaks during a sizeable interval of time, even though there is no long {"}flat{"} region in the potential where U'(x) is very small. Finally, the concept of marginality with reference to unsteady states is discussed.",
author = "J. Iwaniszewski and McClintock, {Peter V. E.} and Stein, {N. D.}",
year = "1994",
month = nov,
doi = "10.1103/PhysRevE.50.3538",
language = "English",
volume = "50",
pages = "3538--3545",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Transient multimodality in relaxation from an unstable state.

AU - Iwaniszewski, J.

AU - McClintock, Peter V. E.

AU - Stein, N. D.

PY - 1994/11

Y1 - 1994/11

N2 - We analyse a relaxation process from an unstable state during which transient multimodality occurs. This phenomenon is investigated experimentally on an electronic analogue circuit which mimics an overdamped bistable oscillator described by a sixth--order polynomial U(x) and is driven by a Gaussian white noise. The measured times and positions at which new maxima appear in the probability distribution function agree well with the theoretical predictions. It is shown that the shape of the potential guarantees the existence of two different time scales, allowing for the coexistence of three probability distribution peaks during a sizeable interval of time, even though there is no long "flat" region in the potential where U'(x) is very small. Finally, the concept of marginality with reference to unsteady states is discussed.

AB - We analyse a relaxation process from an unstable state during which transient multimodality occurs. This phenomenon is investigated experimentally on an electronic analogue circuit which mimics an overdamped bistable oscillator described by a sixth--order polynomial U(x) and is driven by a Gaussian white noise. The measured times and positions at which new maxima appear in the probability distribution function agree well with the theoretical predictions. It is shown that the shape of the potential guarantees the existence of two different time scales, allowing for the coexistence of three probability distribution peaks during a sizeable interval of time, even though there is no long "flat" region in the potential where U'(x) is very small. Finally, the concept of marginality with reference to unsteady states is discussed.

U2 - 10.1103/PhysRevE.50.3538

DO - 10.1103/PhysRevE.50.3538

M3 - Journal article

VL - 50

SP - 3538

EP - 3545

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 5

ER -