Semiconductor Physics, Quantum Electronics & Optoelectronics, 25 (2), P. 262-274 (2022).

Short-time dynamics of noise-induced escapes and transitions in overdamped systems

S.M. Soskin1*, V.I. Sheka1, T.L. Linnik1,2, and R. Mannella3

1 V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine
2 Experimentelle Physik 2, Technische Universitat Dortmund, 44227 Dortmund, Germany
3 Dipartimento di Fisica, Università di Pisa, 56127 Pisa, Italy
*Corresponding author e-mail:

Abstract. Using the path-integral approach, we have developed a general solution of the problem of a noise-induced escape or transition of the overdamped one-dimensional potential system at time scales of the order of dynamic relaxation time. The results strongly differ from those obtained before by other methods. Computer simulations confirm the validity of our theory in the relevant time range. The obtained results may be of interest in studies of Josephson junctions, levitating nanoparticles in optical traps, ionic channels, chemical reactions and chemical-physical systems.

Keywords: one-dimensional potential system, short-time dynamics, noise-induced escape, overdamped system, path-integral approach.

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