Zeitschrift für Physik A Hadrons and Nuclei

, Volume 354, Issue 3, pp 293–299 | Cite as

Quantum decay rate of a nonlinear dissipative system with fission-like potential nearT c

  • Jing-Dong Bao
  • Yi-Zhong Zhuo
  • Xi-Zhen Wu


We use a thermodynamic scheme (imaginary free energy method) in terms of the path integral technique to study the quantum decay rates of a metastable state system coupled to a heat bath in the crossover temperature (T c) region. In this region the transition between thermally activated decay and tunneling occurs. A nonlinear coupling form factor is used to overcome the divergent integral in the partition function nearT c. The decay rate formula based on the steepest descent approximation has been improved. A method is developed to calculate the real and imaginary parts of the partition function which combines a random walk method with fast-Fourier transform Monte-Carlo evaluation. For a nonlinear dissipative system with a damping correlation kernel of exponential form, the accurate numerical calculations are presented. The effects of nonlinear and frequency-dependent damping on the rate are shown.


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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Jing-Dong Bao
    • 1
    • 2
  • Yi-Zhong Zhuo
    • 3
    • 4
  • Xi-Zhen Wu
    • 3
  1. 1.CCAST (World Laboratory)BeijingPeople’s Republic of China
  2. 2.Beijing Institute of MeteorologyBeijingPeople’s Republic of China
  3. 3.Institute of Atomic EnergyBeijingPeople’s Republic of China
  4. 4.Institute of Theoretical PhysicsAcademia SinicaBeijingPeople’s Republic of China

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