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The effect of multiplicative noise on the relaxation time of a real non-linear physical system: A comparison of experiment and theory for the random growing rate model (RGRM)

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

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The effect of multiplicative noise on the relaxation time of a real non-linear physical system: A comparison of experiment and theory for the random growing rate model (RGRM). / Mannella, R.; Faetti, S.; Grigolini, P. et al.
In: Journal of Physics A: Mathematical and General , Vol. 19, No. 12, 001, 01.12.1986, p. L699-L704.

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

Harvard

Mannella, R, Faetti, S, Grigolini, P, McClintock, PVE & Moss, FE 1986, 'The effect of multiplicative noise on the relaxation time of a real non-linear physical system: A comparison of experiment and theory for the random growing rate model (RGRM)', Journal of Physics A: Mathematical and General , vol. 19, no. 12, 001, pp. L699-L704. https://doi.org/10.1088/0305-4470/19/12/001

APA

Mannella, R., Faetti, S., Grigolini, P., McClintock, P. V. E., & Moss, F. E. (1986). The effect of multiplicative noise on the relaxation time of a real non-linear physical system: A comparison of experiment and theory for the random growing rate model (RGRM). Journal of Physics A: Mathematical and General , 19(12), L699-L704. Article 001. https://doi.org/10.1088/0305-4470/19/12/001

Vancouver

Mannella R, Faetti S, Grigolini P, McClintock PVE, Moss FE. The effect of multiplicative noise on the relaxation time of a real non-linear physical system: A comparison of experiment and theory for the random growing rate model (RGRM). Journal of Physics A: Mathematical and General . 1986 Dec 1;19(12):L699-L704. 001. doi: 10.1088/0305-4470/19/12/001

Author

Mannella, R. ; Faetti, S. ; Grigolini, P. et al. / The effect of multiplicative noise on the relaxation time of a real non-linear physical system : A comparison of experiment and theory for the random growing rate model (RGRM). In: Journal of Physics A: Mathematical and General . 1986 ; Vol. 19, No. 12. pp. L699-L704.

Bibtex

@article{67d057ab178743f4a657a6e845054d2a,
title = "The effect of multiplicative noise on the relaxation time of a real non-linear physical system: A comparison of experiment and theory for the random growing rate model (RGRM)",
abstract = "It is found that the theoretical behaviour of the relaxation time T for the random growing rate model (RGRM) under the influence of multiplicative noise of intensity Q (a monotonic decrease of T-1 towards a limiting value as Q to infinity ) differs markedly from that actually measured in electronic simulators of that system. A new electronic analogue experiment is described in which a distinct minimum in T-1(Q) has been observed for the first time, with clear evidence for an increase of T-1(Q) with Q at large Q in good qualitative agreement with an earlier analogue experiment. The discrepancy between experiment and the theoretical solutions of the (idealised) equation is attributed to the profound influence exerted by the very weak additive noise which must also, in some measure, always be present in a real physical system.",
author = "R. Mannella and S. Faetti and P. Grigolini and McClintock, {P. V.E.} and Moss, {F. E.}",
year = "1986",
month = dec,
day = "1",
doi = "10.1088/0305-4470/19/12/001",
language = "English",
volume = "19",
pages = "L699--L704",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "12",

}

RIS

TY - JOUR

T1 - The effect of multiplicative noise on the relaxation time of a real non-linear physical system

T2 - A comparison of experiment and theory for the random growing rate model (RGRM)

AU - Mannella, R.

AU - Faetti, S.

AU - Grigolini, P.

AU - McClintock, P. V.E.

AU - Moss, F. E.

PY - 1986/12/1

Y1 - 1986/12/1

N2 - It is found that the theoretical behaviour of the relaxation time T for the random growing rate model (RGRM) under the influence of multiplicative noise of intensity Q (a monotonic decrease of T-1 towards a limiting value as Q to infinity ) differs markedly from that actually measured in electronic simulators of that system. A new electronic analogue experiment is described in which a distinct minimum in T-1(Q) has been observed for the first time, with clear evidence for an increase of T-1(Q) with Q at large Q in good qualitative agreement with an earlier analogue experiment. The discrepancy between experiment and the theoretical solutions of the (idealised) equation is attributed to the profound influence exerted by the very weak additive noise which must also, in some measure, always be present in a real physical system.

AB - It is found that the theoretical behaviour of the relaxation time T for the random growing rate model (RGRM) under the influence of multiplicative noise of intensity Q (a monotonic decrease of T-1 towards a limiting value as Q to infinity ) differs markedly from that actually measured in electronic simulators of that system. A new electronic analogue experiment is described in which a distinct minimum in T-1(Q) has been observed for the first time, with clear evidence for an increase of T-1(Q) with Q at large Q in good qualitative agreement with an earlier analogue experiment. The discrepancy between experiment and the theoretical solutions of the (idealised) equation is attributed to the profound influence exerted by the very weak additive noise which must also, in some measure, always be present in a real physical system.

U2 - 10.1088/0305-4470/19/12/001

DO - 10.1088/0305-4470/19/12/001

M3 - Journal article

AN - SCOPUS:33645831037

VL - 19

SP - L699-L704

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 12

M1 - 001

ER -