Chaotic enhancement of decay. The effect of classical phase space structure

Yosef Ashkenazy; Luca Bonci; Jacob Levitan; Roberto Roncaglia

doi:10.48550/arXiv.chao-dyn/9910031

Chaotic enhancement of decay. The effect of classical phase space structure

Yosef Ashkenazy, Luca Bonci, Jacob Levitan, Roberto Roncaglia

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Abstract

We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of the system parameters. By studying the weak-chaos regime we are able to connect the decay irregularities to the presence of nonlinear resonances in the classical phase space. A quantitative analytical prediction which accounts for the numerical results is obtained.

Original language	English
DOIs	https://doi.org/10.48550/arXiv.chao-dyn/9910031
State	Published - Oct 1999
Externally published	Yes

Keywords

chao-dyn
cond-mat
nlin.CD

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10.48550/arXiv.chao-dyn/9910031

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title = "Chaotic enhancement of decay. The effect of classical phase space structure",

abstract = "We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of the system parameters. By studying the weak-chaos regime we are able to connect the decay irregularities to the presence of nonlinear resonances in the classical phase space. A quantitative analytical prediction which accounts for the numerical results is obtained. ",

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author = "Yosef Ashkenazy and Luca Bonci and Jacob Levitan and Roberto Roncaglia",

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T1 - Chaotic enhancement of decay. The effect of classical phase space structure

AU - Ashkenazy, Yosef

AU - Bonci, Luca

AU - Levitan, Jacob

AU - Roncaglia, Roberto

N1 - 11 pages, 8 figures, uses psfig.sty (better quality figures are available at ftp://telemann.iet.unipi.it/pub/tunnel/)

PY - 1999/10

Y1 - 1999/10

N2 - We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of the system parameters. By studying the weak-chaos regime we are able to connect the decay irregularities to the presence of nonlinear resonances in the classical phase space. A quantitative analytical prediction which accounts for the numerical results is obtained.

AB - We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of the system parameters. By studying the weak-chaos regime we are able to connect the decay irregularities to the presence of nonlinear resonances in the classical phase space. A quantitative analytical prediction which accounts for the numerical results is obtained.

KW - chao-dyn

KW - cond-mat

KW - nlin.CD

U2 - 10.48550/arXiv.chao-dyn/9910031

DO - 10.48550/arXiv.chao-dyn/9910031

M3 - Preprint

BT - Chaotic enhancement of decay. The effect of classical phase space structure

ER -

Chaotic enhancement of decay. The effect of classical phase space structure

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Keywords

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