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In this paper,the mean first-passage time (MFPT) in a biased mono-stable system is investigated on the basis of the theory used in an asymmetric bistable system. The effects of parameters on MFPT are also analyzed based on the generalized potential function. The results show that, first,with parameter a and additive noise intensity Q increasing,the MFPTs in two directions both decrease on condition that bias parameter b is equal to zero; second,the time in which the particle jumps from xs1 to xs2 linearly decreases while the time in which the particle jumps from xs2 to xs1 linearly increases,owing to the fact that the symmetry of potential well is broken by the increase of bias parameter b; finally,the MFPTs in two directions monotonically increase as the ratio of multiplicative noise intensity to the additive noise intensity increases.
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Keywords:
- mean first passage time /
- mono-stable system /
- additive noise /
- multiplicative noise
[1] Madureira A J R,Hanggi P,Wio H S 1996 Phys. Lett. A 271 248
[2] Wang J,Cao L,Wu D J 2003 Phys. Lett. A 308 23
[3] Jin Y F,Xu W,Ma S J,Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese) [靳艳飞、徐 伟、马少娟、李 伟 2005 54 3480]
[4] JiaY,Li J R 1996 Phys. Rev. E 53 5764
[5] Ning L J,Xu W,Yang X L 2007 Acta Phys. Sin. 56 25 (in Chinese) [宁丽娟、徐 伟、杨晓丽 2007 56 25]
[6] Zhang N M,Xu W,Wang C Q 2007 Acta Phys. Sin. 56 5083 (in Chinese) [张娜敏、徐 伟、王朝庆 2007 56 5083]
[7] Jin Y F,Xu W 2005 Chaos,Solitons and Fractals 23 275
[8] Luo X Q,Zhu S Q 2002 Acta Phys. Sin. 51 977 (in Chinese) [罗晓琴、朱士群 2002 51 977]
[9] Xie C W,Mei D C 2003 Chin. Phys. 12 1208
[10] Zhang X Y,Xu W 2007 Chin. Phys. 16 0928
[11] Wang Z Q,Xu W,Zhang N M,Li H Q 2008 Acta Phys. Sin. 57 749 (in Chinese) [王朝庆、徐 伟、张娜敏、李海泉 2008 57 749]
[12] Zhao Y,Xu W,Zou S C 2009 Acta Phys. Sin. 58 1396 (in Chinese) [赵 燕、徐 伟、邹少存 2009 58 1396]
[13] Vilar J M G,Rubi J M 1996 Phys. Rev. Lett. 77 2863
[14] Stocks N G,Stein N D,Soskin S M,McClintock P V E 1992 J. Phys. A:Math. Gen. 25 L1119
[15] Stocks N G,Stein N D,McClintock P V E 1993 J. Phys. A:Math. Gen. 26 L385
[16] Guo F,Zhou Y R,Jiang S Q,Gu T X 2006 J. Phys. A:Math. Gen. 39 13861
[17] Zhou B C,Xu W 2007 Chaos,Solution and Fractals 40 401
[18] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai:Shanghai Scientific and Technological Education Publishing House) (in Chinese) [胡 岗 1994 随机力与非线性系统 (上海:上海科技教育出版社)]
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[1] Madureira A J R,Hanggi P,Wio H S 1996 Phys. Lett. A 271 248
[2] Wang J,Cao L,Wu D J 2003 Phys. Lett. A 308 23
[3] Jin Y F,Xu W,Ma S J,Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese) [靳艳飞、徐 伟、马少娟、李 伟 2005 54 3480]
[4] JiaY,Li J R 1996 Phys. Rev. E 53 5764
[5] Ning L J,Xu W,Yang X L 2007 Acta Phys. Sin. 56 25 (in Chinese) [宁丽娟、徐 伟、杨晓丽 2007 56 25]
[6] Zhang N M,Xu W,Wang C Q 2007 Acta Phys. Sin. 56 5083 (in Chinese) [张娜敏、徐 伟、王朝庆 2007 56 5083]
[7] Jin Y F,Xu W 2005 Chaos,Solitons and Fractals 23 275
[8] Luo X Q,Zhu S Q 2002 Acta Phys. Sin. 51 977 (in Chinese) [罗晓琴、朱士群 2002 51 977]
[9] Xie C W,Mei D C 2003 Chin. Phys. 12 1208
[10] Zhang X Y,Xu W 2007 Chin. Phys. 16 0928
[11] Wang Z Q,Xu W,Zhang N M,Li H Q 2008 Acta Phys. Sin. 57 749 (in Chinese) [王朝庆、徐 伟、张娜敏、李海泉 2008 57 749]
[12] Zhao Y,Xu W,Zou S C 2009 Acta Phys. Sin. 58 1396 (in Chinese) [赵 燕、徐 伟、邹少存 2009 58 1396]
[13] Vilar J M G,Rubi J M 1996 Phys. Rev. Lett. 77 2863
[14] Stocks N G,Stein N D,Soskin S M,McClintock P V E 1992 J. Phys. A:Math. Gen. 25 L1119
[15] Stocks N G,Stein N D,McClintock P V E 1993 J. Phys. A:Math. Gen. 26 L385
[16] Guo F,Zhou Y R,Jiang S Q,Gu T X 2006 J. Phys. A:Math. Gen. 39 13861
[17] Zhou B C,Xu W 2007 Chaos,Solution and Fractals 40 401
[18] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai:Shanghai Scientific and Technological Education Publishing House) (in Chinese) [胡 岗 1994 随机力与非线性系统 (上海:上海科技教育出版社)]
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