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Harmonic velocity noise and its resonance in classical systems

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Abstract

We investigate a harmonic velocity noise and its resonance effect in classical linear and bistable systems. The harmonic velocity noise can be obtained via RLC oscillation circuit driven by the classical Gaussian white noise. Our numerical results indicate that mean square displacement of a free Brownian particle under action of the noise tends to be zero. In the classical systems, the noise not only suppresses fluctuation of particle but also induces resonance effect. Moreover, a noise-enhanced stability phenomenon in the bistable system is also found.

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References

  1. M Schunack, T R Linderoth, F Rosei, E Laengsgaard, I Stendgaard and F Besenbacher Phys. Rev. Lett. 88 156102 (2002)

    Article  ADS  Google Scholar 

  2. G Ertl and H J Freund Phys. Today 52 32 (1999)

    Article  Google Scholar 

  3. W D Luedtke and U Landman Phys. Rev. Lett. 82 3835 (1999)

    Article  ADS  Google Scholar 

  4. P Jensen Rev. Mod. Phys. 71 1695 (1999)

    Article  ADS  Google Scholar 

  5. A C Levi and M Kotrla J. Phys. Condens. Matter 9 299 (1997)

    Article  ADS  Google Scholar 

  6. K D Dobbs and D J Doren J. Chem. Phys. 97 3722 (1992)

    Article  ADS  Google Scholar 

  7. D C Senft and G Ehrlich Phys. Rev. Lett. 74 294 (1995)

    Article  ADS  Google Scholar 

  8. T R Linderoth et al Phys. Rev. Lett. 78 4978 (1997)

  9. A P Graham et al Phys. Rev. B 56 10567 (1997)

  10. S M Oh, S J Koh et al Phys. Rev. Lett. 88 236102 (2002)

  11. G E Poirier and E D Plyant Science 272 1145 (1996)

    Article  ADS  Google Scholar 

  12. T Yokoyama, S Yokoyama, T Kamikado, Y Okuno and S Mashiko Nature 413 619 (2001)

    Article  ADS  Google Scholar 

  13. R M Tromp and J B Jannon Surf. Rev. Lett. 9 1565 (2002)

    Article  ADS  Google Scholar 

  14. T Ala-Nissila, R Ferrando and S C Ying Adv. Phys.  51 949 (2002)

  15. R Raccis, A Nikoubashman, M Retsch, U Jonas, K Koynov, H J Butt, C N Likos and G Fytas ACS Nano 5 4607 (2011)

    Article  Google Scholar 

  16. F Amblard, A C Maggs, B Yurke, A N Pargellis and S Leibler Phys. Rev. Lett. 77 4470 (1996)

  17. O Bénichou, P Illien, G Oshanin, A Sarracino and R Voituriez Phys. Rev. Lett. 115 220601 (2015)

  18. A A Dubkov and B Spagnolo Acta Phys. Pol. 38 1745 (2007)

  19. A A Dubkov, B Spagnolo and V V Uchaikin Int. J. Bifurcat. Chaos 18 2649 (2008)

  20. B Liu and J Goree Phys. Rev. Lett. 100 055003 (2008)

    Article  ADS  Google Scholar 

  21. B Liu, J Goree and Y Feng Phys. Rev. E 78 046403 (2008)

  22. S Ratynskaia, K Rypdal, C Knapek, S Khrapak, A V Milovanov, A Ivlev, J J Rasmussen and G E Morfill Phys. Rev. Lett. 96 105010 (2006)

  23. M Jara, T Komorowski and S Olla Commun. Math. Phys. 339 407-453 (2015)

    Article  ADS  Google Scholar 

  24. Y Gambin, G Massiera, L Ramos, C Ligoure and W Urbach Phys. Rev. Lett. 94 110602 (2005)

    Article  ADS  Google Scholar 

  25. I M Sokolov, J Mai and A Blumen Phys. Rev. Lett. 79 857 (1997)

    Article  ADS  Google Scholar 

  26. P D Ditlevsen Geophys. Res. Lett. 26 1441 (1999)

    Article  ADS  Google Scholar 

  27. P D Ditlevsen, M S Kristensen and K K Andersen J. Clim.  18 2594 (2005)

    Article  ADS  Google Scholar 

  28. P Santini Phys. Rev. E 61 93 (2000)

    Article  ADS  Google Scholar 

  29. G Augello, D Valenti and B Spagnolo Eur. Phys. J. B 78 225 (2010)

    Article  ADS  Google Scholar 

  30. N V Agudov, A A Dubkov and B Spagnolo Physica A 325 144 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  31. D Valenti, C Guarcello and B Spagnolo Phys. Rev. B 89 214510 (2014)

    Article  ADS  Google Scholar 

  32. A Fiasconaro and B Spagnolo Phys. Rev. E 83 041122 (2011)

    Article  ADS  Google Scholar 

  33. S Ciuchi, F de Pasquale and B Spagnolo Phys. Rev. E 47 3915 (1993)

  34. R N Mantegna, B Spagnolo, L Testa and M Trapanese J. Appl. Phys.  97 453 (2005)

    Article  Google Scholar 

  35. D Sigeti and W Horsthemke, J. Stat. Phys. 54 1217 (1989)

    Article  ADS  Google Scholar 

  36. A Neiman, L Schimansky-Geier, A Cornell-Bell and F Moss, Phys. Rev. Lett. 83 4896 (1999)

    Article  ADS  Google Scholar 

  37. G Giacomelli, M Giudici, S Balle and J R Tredicce, Phys. Rev. Lett. 84 3298 (2000)

    Article  ADS  Google Scholar 

  38. Y Jiang and H Xin, Phys. Rev. E 62 1846 (2000)

    Article  ADS  Google Scholar 

  39. B Hu and C Zhou, Phys. Rev. E 62 1983 (2000)

    Article  ADS  Google Scholar 

  40. A S Pikovsky and J Kurths Phys. Rev. Lett. 78 775 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  41. W J Rappel and S H Strogztz Phys. Rev. E 50 3249 (1994)

    Article  ADS  Google Scholar 

  42. G Hu, T Ditzinger, C Z Ning and H Haken, Phys. Rev. Lett. 71 807 (1993)

    Article  ADS  Google Scholar 

  43. A C Scott, Rev. Mod. Phys. 47 487 (1975)

    Article  ADS  Google Scholar 

  44. J D Bao, Y L Song, Q Ji and Y Z Zhuo Phys. Rev. E 72 011113 (2005)

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Acknowledgements

This work was supported by the Research Group of Non-equilibrium Statistics (grant No. 14078206), Kunming University of Science and Technology, China.

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Authors and Affiliations

  1. Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China

    Ruyin Chen, Lili Pan, Linru Nie, Chongyang Chen, Chunhua Zeng & Shifeng Liu

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  1. Ruyin Chen
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  2. Lili Pan
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  3. Linru Nie
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  4. Chongyang Chen
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  5. Chunhua Zeng
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  6. Shifeng Liu
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Correspondence to Linru Nie.

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Chen, R., Pan, L., Nie, L. et al. Harmonic velocity noise and its resonance in classical systems. Indian J Phys 93, 115–121 (2019). https://doi.org/10.1007/s12648-018-1270-9

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