Isotopic mass as discrete control variable in chaotic processes. The case of molecular vibrations

Jair Botina, Fabio Pichierri, Naseem Rahman

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

The dynamics of CO2 and HCN molecules are studied with isotopic mass as a control variable thereby introducing a discrete control variable in chaos theory. An interesting variation of threshold energy for chaos is obtained with computation of Poincaré sections and Lyapunov exponent. On extending the mass range beyond these two molecules, highly non-monotonic behaviour (with various maxima and minima) for the threshold energy is found. The quantal correspondence is explored with NNLSD, Dyson-Mehta statistics and correlation coefficients. A correlation between symmetry (brought about with the isotopic mass variation) and the transition from Poisson distribution to Wigner-Dyson distribution is found for the CO2 molecule.

Original languageEnglish
Pages (from-to)153-158
Number of pages6
JournalChemical Physics Letters
Volume208
Issue number3-4
DOIs
Publication statusPublished - 1993 Jun 11
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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