准单色噪声驱动的耗散动力系统的信息熵演化

郭永峰; 徐伟; 李东喜; 王亮

doi:10.7498/aps.59.2235

摘要

准单色噪声是一类所谓真正有色的噪声.本文对准单色噪声驱动的耗散动力系统的信息熵演化进行研究，文中首先运用线性变换的方法给出了所研究系统的Fokker-Planck方程，然后结合Shannon信息熵定义推导了该系统随时间演化信息熵的精确表达式，最后分析了系统耗散参数和准单色噪声对系统信息熵的显著影响.

关键词:

The quasimonochromatic noise (QMN) is the “truly colored” noise, and in this paper the time derivative of entropy for a dynamical system driven by QMN is studied. The dimension of Fokker-Planck equation is reduced by way of linear transformation. The exact time dependence of the entropy is calculated based on the definition of Shannon’s information entropy. The relationship between the properties of QMN and dissipative parameters and their effect on the entropy is also discussed.

Keywords:

作者及机构信息

1.
西北工业大学应用数学系，西安 710072

基金项目: 国家自然科学基金（批准号：10872165）资助的课题.

Authors and contacts

1.
西北工业大学应用数学系，西安 710072

参考文献

[1]	［1］Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[2]	［2］van den Broeck C, Parrondo J M R, Toral R 1994 Phys. Rev. Lett. 73 3395
[3]	［3］Fuentes M A, Wio H S, Toral R 2002 Physica A 303 91
[4]	［4］Li J H, Huang Z Q 1996 Phys. Rev. E 53 3315
[5]	［5］Denisov S I, Vitrenko A N 2003 Phys. Rev. E 68 046132
[6]	［6］Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[7]	［7］Luo X Q, Zhu S Q 2003 Phys. Rev. E 67 021104
[8]	［8］Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880
[9]	［9］Li R, Hu G, Yang C Y, Wen X D, Qing G R, Zhu H J 1995 Phys. Rev. E 51 3964
[10]	］Dykman M I, Mannella R, McClintock P V E, Stein N D, Stocks N G 1993 Phys. Rev. E 47 3996
[11]	］Dykman M I, McClintock P V E, Stein N D, Stocks N G 1991 Phys. Rev. Lett. 67 933
[12]	］Xu W, Xie W X, Cai L, Tang Y N 2007 Physica A 384 273
[13]	］Xie W X, Xu W,Cai L, Jin Y F 2005 Chin. Phys. 14 1766
[14]	］Bag B C 2002 Phys. Rev. E 65 046118
[15]	］Goswami G, Mukherjee B, Bag B C 2005 J. Phys. A 38 1659
[16]	］Bag B C, Banik S K, Ray D S 2001 Phys. Rev. E 64 026110
[17]	］Bag B C 2002 Phys. Rev. E 66 026122
[18]	］Daems D, Nicolis G., 1999 Phys. Rev. E 59 4000
[19]	］Xing X S 2003 Acta Phys. Sin. 52 2969 (in Chinese) ［邢修三 2003 物理学报 52 2969］
[20]	］Xing X S 2004 Acta. Phys. Sin. 53 2852 (in Chinese) ［邢修三 2004 物理学报 53 2852］
[21]	］Kramers H A 1940 Physica 7 284
[22]	］Brody D, Meister B 1995 Phys. Lett. A 1995 204 93

施引文献

[1]	［1］Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[2]	［2］van den Broeck C, Parrondo J M R, Toral R 1994 Phys. Rev. Lett. 73 3395
[3]	［3］Fuentes M A, Wio H S, Toral R 2002 Physica A 303 91
[4]	［4］Li J H, Huang Z Q 1996 Phys. Rev. E 53 3315
[5]	［5］Denisov S I, Vitrenko A N 2003 Phys. Rev. E 68 046132
[6]	［6］Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[7]	［7］Luo X Q, Zhu S Q 2003 Phys. Rev. E 67 021104
[8]	［8］Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880
[9]	［9］Li R, Hu G, Yang C Y, Wen X D, Qing G R, Zhu H J 1995 Phys. Rev. E 51 3964
[10]	］Dykman M I, Mannella R, McClintock P V E, Stein N D, Stocks N G 1993 Phys. Rev. E 47 3996
[11]	］Dykman M I, McClintock P V E, Stein N D, Stocks N G 1991 Phys. Rev. Lett. 67 933
[12]	］Xu W, Xie W X, Cai L, Tang Y N 2007 Physica A 384 273
[13]	］Xie W X, Xu W,Cai L, Jin Y F 2005 Chin. Phys. 14 1766
[14]	］Bag B C 2002 Phys. Rev. E 65 046118
[15]	］Goswami G, Mukherjee B, Bag B C 2005 J. Phys. A 38 1659
[16]	］Bag B C, Banik S K, Ray D S 2001 Phys. Rev. E 64 026110
[17]	］Bag B C 2002 Phys. Rev. E 66 026122
[18]	］Daems D, Nicolis G., 1999 Phys. Rev. E 59 4000
[19]	］Xing X S 2003 Acta Phys. Sin. 52 2969 (in Chinese) ［邢修三 2003 物理学报 52 2969］
[20]	］Xing X S 2004 Acta. Phys. Sin. 53 2852 (in Chinese) ［邢修三 2004 物理学报 53 2852］
[21]	］Kramers H A 1940 Physica 7 284
[22]	］Brody D, Meister B 1995 Phys. Lett. A 1995 204 93

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