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Dynamical properties of a particle in a time-dependent double-well potential.

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Dynamical properties of a particle in a time-dependent double-well potential. / Leonel, Edson D.; McClintock, Peter V. E.
In: Journal of Physics A: Mathematical and General , Vol. 37, No. 38, 24.09.2004, p. 8949-8968.

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

Harvard

Leonel, ED & McClintock, PVE 2004, 'Dynamical properties of a particle in a time-dependent double-well potential.', Journal of Physics A: Mathematical and General , vol. 37, no. 38, pp. 8949-8968. https://doi.org/10.1088/0305-4470/37/38/004

APA

Leonel, E. D., & McClintock, P. V. E. (2004). Dynamical properties of a particle in a time-dependent double-well potential. Journal of Physics A: Mathematical and General , 37(38), 8949-8968. https://doi.org/10.1088/0305-4470/37/38/004

Vancouver

Leonel ED, McClintock PVE. Dynamical properties of a particle in a time-dependent double-well potential. Journal of Physics A: Mathematical and General . 2004 Sept 24;37(38):8949-8968. doi: 10.1088/0305-4470/37/38/004

Author

Leonel, Edson D. ; McClintock, Peter V. E. / Dynamical properties of a particle in a time-dependent double-well potential. In: Journal of Physics A: Mathematical and General . 2004 ; Vol. 37, No. 38. pp. 8949-8968.

Bibtex

@article{c90d0f8c75d443d397664705f52cb6ba,
title = "Dynamical properties of a particle in a time-dependent double-well potential.",
abstract = "Some chaotic properties of a classical particle interacting with a time-dependent double-square-well potential are studied. The dynamics of the system is characterized using a two-dimensional nonlinear area-preserving map. Scaling arguments are used to study the chaotic sea in the low-energy domain. It is shown that the distributions of successive reflections and of corresponding successive reflection times obey power laws with the same exponent. If one or both wells move randomly, the particle experiences the phenomenon of Fermi acceleration in the sense that it has unlimited energy growth.",
author = "Leonel, {Edson D.} and McClintock, {Peter V. E.}",
year = "2004",
month = sep,
day = "24",
doi = "10.1088/0305-4470/37/38/004",
language = "English",
volume = "37",
pages = "8949--8968",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "38",

}

RIS

TY - JOUR

T1 - Dynamical properties of a particle in a time-dependent double-well potential.

AU - Leonel, Edson D.

AU - McClintock, Peter V. E.

PY - 2004/9/24

Y1 - 2004/9/24

N2 - Some chaotic properties of a classical particle interacting with a time-dependent double-square-well potential are studied. The dynamics of the system is characterized using a two-dimensional nonlinear area-preserving map. Scaling arguments are used to study the chaotic sea in the low-energy domain. It is shown that the distributions of successive reflections and of corresponding successive reflection times obey power laws with the same exponent. If one or both wells move randomly, the particle experiences the phenomenon of Fermi acceleration in the sense that it has unlimited energy growth.

AB - Some chaotic properties of a classical particle interacting with a time-dependent double-square-well potential are studied. The dynamics of the system is characterized using a two-dimensional nonlinear area-preserving map. Scaling arguments are used to study the chaotic sea in the low-energy domain. It is shown that the distributions of successive reflections and of corresponding successive reflection times obey power laws with the same exponent. If one or both wells move randomly, the particle experiences the phenomenon of Fermi acceleration in the sense that it has unlimited energy growth.

U2 - 10.1088/0305-4470/37/38/004

DO - 10.1088/0305-4470/37/38/004

M3 - Journal article

VL - 37

SP - 8949

EP - 8968

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 38

ER -