|
|
|
Vibrational chaotic dynamics in triatomic molecules: A comparative study |
Liang-Jun Zhai(翟良君), Yu-Jun Zheng(郑雨军, ), Shi-Liang Ding(丁世良) |
| School of Physics, Shandong University, Jinan 250100, China |
|
|
|
|
Abstract Within Lie algebraic model, the vibrational chaotic dynamics in triatomic molecules are studied. The molecules of H2S, NO2, and O3 are sampled to explore the dynamical differences between the local and normal mode molecules. The comprehensive effects of the local and normal mode vibrations, resonances and chaos on the dynamical entanglement are studied. The results demonstrate that the resonances as well as chaos can promote the evolution of dynamical entanglement.
|
| Keywords
vibrational chaotic dynamics
triatomic atomic
U(4) algebraic model
|
|
Corresponding Author(s):
Yu-Jun Zheng(郑雨军),Email:yzheng@sdu.edu.cn
|
|
Issue Date: 01 October 2012
|
|
| 1 |
L. Halonen, Adv. Chem. Phys. , 1998, 104: 41
doi: 10.1002/9780470141632.ch2
|
| 2 |
T. Sako, K. Yamanouchi, and F. Iachello, J. Chem. Phys. , 2000, 113(17): 7292
doi: 10.1063/1.1312285
|
| 3 |
P. Jensen, S. Tashkun, and V. Tyuterev, J. Mol. Spectrosc. , 1994, 168(2): 271
doi: 10.1006/jmsp.1994.1277
|
| 4 |
G. Ma, R. Chen, and H. Guo, J. Chem. Phys. , 1999, 110(17): 8408
doi: 10.1063/1.478749
|
| 5 |
Y. Liu, Y. Zheng, W. Ren, and S. Ding, Phys. Rev. A , 2008, 78(3): 032523
doi: 10.1103/PhysRevA.78.032523
|
| 6 |
F. Mauguiere, M. Rey, V. Tyuterev, J. Suarez, and S. C. Farantos, J. Phys. Chem. A , 2010, 114(36): 9836
doi: 10.1021/jp1030569
|
| 7 |
K. K. Lehmann, G. J. Scherer, and W. Klemperer, J. Chem. Phys. , 1982, 77(6): 2853
doi: 10.1063/1.444178
|
| 8 |
Z. Lu and M. E. Kellman, J. Chem. Phys. , 1997, 107(1): 1
doi: 10.1063/1.474366
|
| 9 |
F. Iachello and F. Pérez-bernal, Mol. Phys. , 2008, 106(2-4): 223
doi: 10.1080/00268970701757883
|
| 10 |
S. Keshavamurthy and G. S. Ezra, Chem. Phys. Lett. , 1996, 259(1-2): 81
doi: 10.1016/0009-2614(96)00727-0
|
| 11 |
X. Hou, J. Chen, and Z. Ma, Phys. Rev. A , 2006, 74(6): 062513
doi: 10.1103/PhysRevA.74.062513
|
| 12 |
L. Zhai, Y. Zheng, and S. L. Ding, Chin. Phys. Lett. , 2012, 29(6): 063301
doi: 10.1088/0256-307X/29/6/063301
|
| 13 |
S. Chaudhury, A. Smith, B. E. Anderson, S. Ghose, and P. S. Jessen, Nature , 2009, 461(7265): 768
doi: 10.1038/nature08396
|
| 14 |
S. Ghose, R. Stock, P. Jessen, R. Lal, and A. Silberfarb, Phys. Rev. A , 2008, 78(4): 042318
doi: 10.1103/PhysRevA.78.042318
|
| 15 |
X. Wang, S. Ghose, B. C. Sanders, and B. Hu, Phys. Rev. E , 2004, 70: 016217
doi: 10.1103/PhysRevE.70.016217
|
| 16 |
H. Fujisaki, T. Miyadera, and A. Tanaka, Phys. Rev. E , 2003, 67: 066201
doi: 10.1103/PhysRevE.67.066201
|
| 17 |
S. Zhang and Q. Jie, Phys. Rev. A , 2008, 77(1): 012312
doi: 10.1103/PhysRevA.77.012312
|
| 18 |
F. Iachello and R. D. Levine, J. Chem. Phys. , 1982, 77(6): 3046
doi: 10.1063/1.444228
|
| 19 |
O. S. van Roosmalen, F. Iachello, R. D. Levine, and A. E. L. Dieperink, J. Chem. Phys. , 1983, 79(6): 2515
doi: 10.1063/1.446164
|
| 20 |
F. Iachello, and R. D. Levine, Algebraic theory of molecules , New York: Oxford University press, 1995
|
| 21 |
F. Iachello and S. Oss, Eur. Phys. J. D , 2002, 19: 307
|
| 22 |
F. Iachello and P. Truini, Ann. Phys. , 1996, 276(1): 120
doi: 10.1006/aphy.1999.5940
|
| 23 |
Y. Zheng and S. Ding, Phys. Lett. A , 1999, 256(2-3): 197
doi: 10.1016/S0375-9601(99)00207-8
|
| 24 |
S. Ding and Y. Zheng, J. Chem. Phys. , 1999, 111(10): 4466
doi: 10.1063/1.479210
|
| 25 |
Y. Zheng and S. Ding, J. Mol. Spectrosc. , 2000, 201(1): 109
doi: 10.1006/jmsp.2000.8060
|
| 26 |
Y. Zheng and S. Ding, Phys. Rev. A , 2001, 64(3): 032720
doi: 10.1103/PhysRevA.64.032720
|
| 27 |
Y. Zheng and S. Ding, Chem. Phys. , 2000, 255(2-3): 217
doi: 10.1016/S0301-0104(00)00033-1
|
| 28 |
Y. Zheng and S. Ding, Int. J. Quantum Chem. , 2008, 108(6): 1059
doi: 10.1002/qua.21592
|
| 29 |
Y. Zheng, Multiphoton Selective excitation and analytical control of small molecules in intense laser fields: an Algegraic model, in: Laser Pulse phenomena and Applications, edited by F. J. Duarte, INTECH, Rijeka , 2010
doi: 10.5772/12862
|
| 30 |
H. Feng, P. Li, and Y. Zheng, Mol. Phys. , 2011, 109(22): 2633
doi: 10.1080/00268976.2011.627383
|
| 31 |
R. Gilmore, Catastrophe Theory for Scientists and Engineers , New York: Dover Publications, 1981
|
| 32 |
L. Zhai, Y. Zheng, and S. L. Ding, Chin. Phys. B , 2012, 21(7): 070503
doi: 10.1088/1674-1056/21/7/070503
|
| 33 |
C. Jaffé and P. Brumer, J. Chem. Phys. , 1980, 73: 5646
doi: 10.1063/1.440041
|
| 34 |
W. P. Sibert, Reinhardt, and J. T. Hynes, J. Chem. Phys. , 1982, 77(7): 3583
doi: 10.1063/1.444260
|
| 35 |
M. Kryvohuz and J. Cao, J. Phys. Chem. B , 2010, 114(19): 6549
doi: 10.1021/jp102675y
|
| 36 |
B. V. Chirikov, Phys. Rep. , 1979, 52(5): 263
doi: 10.1016/0370-1573(79)90023-1
|
| 37 |
X. Hou and B. Hu, Phys. Rev. A , 2004, 69(4): 042110
doi: 10.1103/PhysRevA.69.042110
|
| 38 |
R. M. Angelo, K. Furuya, M. C. Nemes, and G. Q. Pellegrino, Phys. Rev. A , 2001, 64(4): 043801
doi: 10.1103/PhysRevA.64.043801
|
| 39 |
N. N. Chung and L. Y. Chew, Phys. Rev. E , 2009, 80: 016204
doi: 10.1103/PhysRevE.80.016204
|
| 40 |
M. Lombardi and A. Matzkin, Phys. Rev. E , 2011, 83: 016207
doi: 10.1103/PhysRevE.83.016207
|
| 41 |
S. Keshavamurthy, Int. Rev. Phys. Chem. , 2007, 26(4): 521
doi: 10.1080/01442350701462288
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
