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周期外力对频率涨落的过阻尼谐振子所作的功和能量随机共振

张良英 曹力 吴大进

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周期外力对频率涨落的过阻尼谐振子所作的功和能量随机共振

张良英, 曹力, 吴大进

Work done by a periodical external force on an overdamped harmonic oscillator with frequency fluctuation and energetic stochastic resonance

Zhang Liang-Ying, Cao Li, Wu Da-Jin
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  • 研究了周期外力对频率涨落的过阻尼谐振子系统作功的特点. 结果揭示了瞬时功率随时间的周期变化出现不对称性. 研究结果还揭示周期外力一个周期对系统所做的功随乘法噪声强度的变化出现非单调行为, 系统是否出现能量随机共振与抑制并存, 由乘法噪声与加法噪声之间互关联的符号决定.
    Characterization of the work done by a periodic external force on an overdamped harmonic oscillator with frequency fluctuation is studied. Results indicate that the instantaneous power with periodic variations of time shows asymmetry. It is also revealed that the work done by a periodic external force on the system in one period with the variation of multiplicative noise intensity exhibits non-monotonic behavior. Whether the system shows the coexistence of energetic stochastic resonance and suppression or not is determined by the sign of the correlation coefficient between the multiplicative noise and the additive noise.
    • 基金项目: 国家自然科学基金(批准号:11045004)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No.11045004).
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    Lin M, Zhang M L, Huang Y M 2011 Acta Phys. Sin. 60 080509 (in Chinese) [林敏, 张美丽, 黄咏梅 2011 物理学报 60 080509]

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    Seifert U 2008 Eur. Phys. J. B 64 423

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    Seifert U 2005 Phys. Rev. Lett. 95 040602

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    Sekimomt K 2007 Phys. Rev. E 76 060103(R)

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    Horowitz J M 2012 Phys. Rev. E 85 031110

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    Esposito M 2012 Phys. Rev. E 85 041125

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    Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 物理学报 58 2895]

    [20]

    Zhang L, Cao L 2010 Chin. Phys. Lett. 27 060504

    [21]

    Cao L, Wu D J 2007 Int. J. Mod. Phys. B 21 1721

    [22]

    Goodman J W 1995 Statistical Optics (New York: Wiley-Interscience Publication)

    [23]

    Arnold L 1974 Stochastic Differential Equations: Theory and Applications (New York: Wiley-Interscience Publication)

    [24]

    Risken H 1984 The Fekker-Planck Equation (Berlin: Sprenger-Verlag)

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    Cao L, Wu D J 2007 Physica A 376 191

  • [1]

    Chandrasekhar 1943 Rev. Mod. Phys. 15 1

    [2]

    Liu L, Zhang L Y, Cao L 2009 Chin Phys. B 18 4182

    [3]

    Chen D Y, Wang Z L 2010 Acta Phys. Sin. 59 111 (in Chinese) [陈德彝, 王忠龙 2010 物理学报 59 111]

    [4]

    Liu L, Wu D J 2009 College Physics 16 28 (in Chinese) [刘立, 吴大进 2009 大学物理 16 28]

    [5]

    Gitterman M 2003 Phys. Rev. E 67 057103

    [6]

    Gitterman M 2004 Phys. Rev. E 69 041101

    [7]

    Zhang L, Liu L, Cao L 2010 Acta Phys. Sin 59 1494 (in Chinese) [张莉, 刘立, 曹力 2010 物理学报 59 1494]

    [8]

    Iwai T 2001 Physica A 300 350

    [9]

    Sekimomt K 1997 J. Phys. Soc. Jpn. 66 1234

    [10]

    Sekimomt K 1998 Prog. Theor. Phys. Suppl. 130 17

    [11]

    Lin M, Zhang M L 2011 Acta Phys. Sin. 60 020501 (in Chinese) [林敏, 张美丽 2011 物理学报 60 020501]

    [12]

    Lin M, Zhang M L, Huang Y M 2011 Acta Phys. Sin. 60 080509 (in Chinese) [林敏, 张美丽, 黄咏梅 2011 物理学报 60 080509]

    [13]

    Lin M, Huang Y M 2012 Acta Phys. Sin. 61 220205 (in Chinese) [林敏, 黄咏梅 2012 物理学报 62 220205]

    [14]

    Seifert U 2008 Eur. Phys. J. B 64 423

    [15]

    Seifert U 2005 Phys. Rev. Lett. 95 040602

    [16]

    Sekimomt K 2007 Phys. Rev. E 76 060103(R)

    [17]

    Horowitz J M 2012 Phys. Rev. E 85 031110

    [18]

    Esposito M 2012 Phys. Rev. E 85 041125

    [19]

    Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 物理学报 58 2895]

    [20]

    Zhang L, Cao L 2010 Chin. Phys. Lett. 27 060504

    [21]

    Cao L, Wu D J 2007 Int. J. Mod. Phys. B 21 1721

    [22]

    Goodman J W 1995 Statistical Optics (New York: Wiley-Interscience Publication)

    [23]

    Arnold L 1974 Stochastic Differential Equations: Theory and Applications (New York: Wiley-Interscience Publication)

    [24]

    Risken H 1984 The Fekker-Planck Equation (Berlin: Sprenger-Verlag)

    [25]

    Cao L, Wu D J 2007 Physica A 376 191

计量
  • 文章访问数:  5218
  • PDF下载量:  580
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-04-25
  • 修回日期:  2013-06-25
  • 刊出日期:  2013-10-05

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