Time-independent description of rapidly driven systems in the presence of friction: Multiple scale perturbation approach

Chaos

Volumn 22, Issue 1, 2012, Pages

  Shit, Anindita ^a   Chattopadhyay, Sudip ^a   Ray Chaudhuri, Jyotipratim ^b  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

^b Katwa College   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; COMPUTER SIMULATION; FRICTION; METHODOLOGY; NONLINEAR SYSTEM; OSCILLOMETRY;

ALGORITHMS; COMPUTER SIMULATION; FRICTION; NONLINEAR DYNAMICS; OSCILLOMETRY;

EID: 84859299152     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3692970     Document Type: Article

References (20)

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15. It should be mentioned that most of the treatments along this line are motivated by an incisive idea of Kapitza who showed that the corresponding classical dynamics can be discussed on the basis of an effective time-independent Hamiltonian, over time-scales longer than the period of the external force.
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20. The literature (Refs. 111617) demonstrates that typically a rapidly oscillating, smooth, bounded one-dimensional potential with vanishing average leads to trapping of classical as well as quantum particles. This sounds counter intuitive since one may expect that because of the high energy of the fields, the particles will rapidly obtain energy that will be sufficient to overcome any potential barrier. This is also the principle of operation of the Paul trap (Ref. 12) where the resulting is harmonic in nature.