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Non-Markovian rotating unstable processes driven by Gaussian colored noise.

J I Jiménez-Aquino1, M Romero-Bastida

  • 1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, C.P. 09340, México, D.F., México. ines@xanum.uam.mx

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
PubMed
Summary

This study characterizes non-Markovian decay processes using mean passage time distributions. Non-Markovian effects are modeled by effective noise intensity, applicable to laser systems.

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Area of Science:

  • Statistical physics
  • Non-Markovian dynamics

Background:

  • Characterizing decay processes in unstable systems is crucial.
  • Understanding non-Markovian effects driven by colored noise is complex.

Purpose of the Study:

  • To statistically characterize the decay of non-Markovian rotating unstable processes.
  • To analyze the influence of Gaussian colored noise and external forces.
  • To compare non-Markovian and Markovian time scales.

Main Methods:

  • Utilizing statistical properties of mean passage time distributions.
  • Analyzing linear time characterization in large and intermediate time limits.
  • Studying general two-variable systems.

Main Results:

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  • Non-Markovian effects are captured by an effective noise intensity for small correlation times.
  • A linear time characterization is established for decay processes.
  • The non-Markovian time scale is compared to the Markovian case.

    • Conclusions:

    • The developed framework effectively characterizes non-Markovian decay.
    • The findings are applicable to understanding signal detection in laser systems.
    • This work provides insights into noise-driven unstable systems.