Fluctuations and dissipations in stochastic energetic resonance

doi:10.1088/1674-1056/21/9/090504

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90504-090504.doi: 10.1088/1674-1056/21/9/090504

Fluctuations and dissipations in stochastic energetic resonance

薛生虎, 林敏, 孟莹

College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China

收稿日期:2012-01-13 修回日期:2012-05-28 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10972207) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y7080111).

Fluctuations and dissipations in stochastic energetic resonance

Xue Sheng-Hu (薛生虎), Lin Min (林敏), Meng Ying (孟莹)

College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China

Received:2012-01-13 Revised:2012-05-28 Online:2012-08-01 Published:2012-08-01
Contact: Xue Sheng-Hu E-mail:xueshenghu@cjlu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10972207) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y7080111).

摘要/Abstract

摘要： By analyzing the fluctuations and dissipations of a Brownian particle colliding with the molecules in a fluid, the work exchanged between the Brownian particle constrained in a bistable potential well and an external periodic force is investigated. Characters of the stochastic energetic resonance are found and studied at different intensities of fluctuations and dissipations. The microscopic mechanism of energy exchange between the Brownian particle and the external force is revealed. The method used in this study provides a novel way of controlling the stochastic energetic resonance.

关键词: stochastic energetic resonance, fluctuation, dissipation, bistable system

Abstract: By analyzing the fluctuations and dissipations of a Brownian particle colliding with the molecules in a fluid, the work exchanged between the Brownian particle constrained in a bistable potential well and an external periodic force is investigated. Characters of the stochastic energetic resonance are found and studied at different intensities of fluctuations and dissipations. The microscopic mechanism of energy exchange between the Brownian particle and the external force is revealed. The method used in this study provides a novel way of controlling the stochastic energetic resonance.

Key words: stochastic energetic resonance, fluctuation, dissipation, bistable system

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

05.45.-a (Nonlinear dynamics and chaos) 05.70.-a (Thermodynamics)

薛生虎, 林敏, 孟莹. Fluctuations and dissipations in stochastic energetic resonance[J]. 中国物理B, 2012, 21(9): 90504-090504.

Xue Sheng-Hu (薛生虎), Lin Min (林敏), Meng Ying (孟莹). Fluctuations and dissipations in stochastic energetic resonance[J]. Chin. Phys. B, 2012, 21(9): 90504-090504.

参考文献 31

[1]	Benzi R, Sutera A and Vulpiana A 1981 Phys. A 14 L453
[2]	Gammaitoni L, Marchesoni F, Menichella-Saetta E and Santucci S 1989 Rev. Rev. Lett. 62 349
[3]	Gammaitoni L, Hanggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223
[4]	Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese)
[5]	Sekimoto K 1997 J. Phys. Soc. Jpn. 66 1234
[6]	Nozaki D, Mar D J, Grigg P and Collins J J 1999 Phys. Rev. Lett. 82 2402
[7]	Qin G R, Gong D C, Hu G and Wen X D 1992 Acta Phys. Sin. 41 360 (in Chinese)
[8]	Lin M and Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese)
[9]	Jin G X, Zhang L Y and Cao L 2009 Chin. Phys. B 18 952
[10]	Zhu H J, Li R and Wen X D 2003 Acta Phys. Sin. 52 2404 (in Chinese)
[11]	Lin M, Mao Q M, Zheng Y J and Li D S 2007 Acta Phys. Sin. 56 5021 (in Chinese)
[12]	Wang C J 2010 Chin. Phys. B 19 030503
[13]	Lin M, Fang L M and Zheng Y J 2009 Chin. Phys. B 18 1725
[14]	Dong X J 2010 Chin. Phys. B 19 010502
[15]	Lin M, Fang L M, Zhu R G 2008 Acta. Phys. Sin. 57 2638 (in Chinese)
[16]	Leng Y G, Wang T Y, Guo Y, Wang W J and Hu S G 2005 Acta Phys. Sin. 54 1118 (in Chinese)
[17]	Lin M and Huang Y M 2007 Acta Phys. Sin. 56 6173 (in Chinese)
[18]	Dong X J 2009 Chin. Phys. B 18 0070
[19]	Zhang L, Liu L and Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese)
[20]	Lin L, Yan Y and Mei D C 2010 Acta Phys. Sin. 59 2240 (in Chinese)
[21]	Guo Y F, Xu W and Wang L 2010 Chin. Phys. B 19 040503
[22]	Iwai T 2001 Phys. A 300 350
[23]	Dan D and Jayannavar A M 2005 Phys. A 345 404
[24]	Bustamante C, Liphardt J and Ritort F 2005 Physics Today 58 43
[25]	Saikia S, Roy R and Jayannavar A M 2007 Phys. Lett. A 369 367
[26]	Sekimoto K 2007 Phys. Rev. E 76 060103(R)
[27]	Seifert U 2008 Eur. Phys. J. B 64 423
[28]	Lin M and Zhang M L 2011 Acta Phys. Sin. 60 020501 (in Chinese)
[29]	Lin M, Zhang M L and Huang Y M 2011 Acta Phys. Sin. 60 080509 (in Chinese)
[30]	Deng M L and Zhu W Q 2007 Chin. Phys. 16 1510
[31]	Qin L and Bao J D 2009 Acta Phys. Sin. 58 1510 (in Chinese)

Fluctuations and dissipations in stochastic energetic resonance

Fluctuations and dissipations in stochastic energetic resonance

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