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Coupling-induced transition of states in an asymmetrical double-well potential

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  • Wu, Wei
  • Bao, Jing-Dong

Abstract

Time-dependent picture of two harmonically coupled particles passing over an asymmetrical barrier and then distributing over a double-well potential is considered. The coupling-induced transition of states is investigated through calculating the survival probability of the center-of-mass of two particles in a metastable state. The results show that the center-of-mass of two coupled particles passing over a smooth barrier is easier than a single particle; the survival probability of the center-of-mass of two particles in the metastable state of double-well potential can be larger than 12. This can be well explained by an effective potential of the center-of-mass of two particles feeling, namely, the minimum of the metastable well with a small curvature is risen lower than that of the stable well with a large curvature.

Suggested Citation

  • Wu, Wei & Bao, Jing-Dong, 2004. "Coupling-induced transition of states in an asymmetrical double-well potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 417-424.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:3:p:417-424
    DOI: 10.1016/j.physa.2004.02.067
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    References listed on IDEAS

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    1. Wang, Hai-Yan & Bao, Jing-Dong, 2004. "The roles of ratchet in transport of two coupled particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 13-26.
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