Chaotic Dynamics of Triatomic Normal Mode Molecules
ZHAI Liang-Jun, ZHENG Yu-Jun** , DING Shi-Liang
School of Physics, Shandong University, Jinan 250100
Chaotic Dynamics of Triatomic Normal Mode Molecules
ZHAI Liang-Jun, ZHENG Yu-Jun** , DING Shi-Liang
School of Physics, Shandong University, Jinan 250100
Abstract ：We investigate the chaotic dynamics of normal mode molecules from the classical point of view using the coupling Morse oscillators. New interesting phenomena of the fractured tori and the cross of tori on the Poincar-section, which go against our traditional understanding, are found and investigated. Also, we find that the phenomenon of tori cross is a signature of the single bond's energy beyond the total vibrational energy. Finally, a method to improve this scarcity is proposed.
Key words ：
33.15.-e
05.45.-a
收稿日期: 2012-01-06
出版日期: 2012-05-31
[1] Marcus R A 1983 Faraday Discuss. Chem. Soc. 75 103 [2] Sibert III E L, Reinhardt M P and Hynes J T 1982 J. Chem. Phys. 77 3583 [3] Davis M J 1985 J. Chem. Phys. 83 1016 [4] Gerbasi D, Sanz A S, Christopher P S, Shapiro M and Brumer P 2007 J. Chem. Phys. 126 124307 [5] Pa?kauskas R, Chandre C and Uzer T 2008 Phys. Rev. Lett. 100 083001 [6] Jaffé C and Brumer P 1980 J. Chem. Phys. 73 5646 [7] Jung C, Ziemniak E, Carvajal M, Frank A and R Lemus 2001 Chaos 11 464 [8] Efstathiou K and Contopoulos G 2001 Chaos 11 327 [9] Kellman M E and Tyng V 2007 Acc. Chem. Res. 40 243 [10] Yu J and Wu G Z 2001 Chem. Phys. Lett. 343 375 [11] Steven T and Denis U 1994 Phys. Rev. E 50 145 [12] Keshavamurthy S 2007 Int. Rev. Phys. Chem. 26 521 [13] Liu Y, Zheng Y J, Ren W Y and Ding S L 2008 Phys. Rev. A 78 032523 [14] Hou X W, Chen J H and Ma Z Q 2006 Phys. Rev. A 74 062513 [15] Longhi G, Abbate S, Zagano C Botto G and Ricard-Lespade L 1992 Theor. Chim. Acta 82 321 [16] Hutchinson J S, Sibert III E L and Hynes J T 1984 J. Chem. Phys. 81 1314 [17] Halonen L 1998 Adv. Chem. Phys. 104 41 [18] Ma G B and Guo H 1999 J. Chem. Phys. 111 4032 [19] Sako T, Yamanouchi K and Iachello F 2000 J. Chem. Phys. 113 7292 [20] Mauguiere F, Rey M, Tyuterev V, Suarez J and Farantos S C 2010 J. Phys. Chem. A 114 9836 [21] Child M S 1985 Acc. Chem. Res. 18 45 [22] Lu Z M and Kellman M E 1997 J. Chem. Phys. 107 1 [23] Casta?os O and Lemus R 2010 Mol. Phys. 108 597 [24] Wilson E B Jr, Decius J C and Cross P C 1955 Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra (New York: Van Nostrand) p 303
2012, Vol. 29 
