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Steady state solutions of master equations without detailed balance

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Zeitschrift für Physik B Condensed Matter

Abstract

Steady state solutions of master equations with one variable are constructed. The method of solution is based on a transformation of the original equation for the probability into one for a slowly varying function. The method is of general applicability and is particularly useful in obtaining solutions in the case where detailed balance does not hold. Examples of such systems in chemical reaction models and the two photon laser are discussed.

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References

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Authors and Affiliations

  1. Institut für Theoretische Physik, Rheinisch-Westfälische Technische Hochschule, Templergraben, D-5100, Aachen, Federal Republic of Germany

    R. Görtz

  2. Department of Chemistry, Massachusetts Institute of Technology, 02139, Cambridge, Mass., USA

    D. F. Walls

Authors
  1. R. Görtz
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  2. D. F. Walls
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Additional information

On leave from the University of Waikato, Hamilton, New Zealand

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Görtz, R., Walls, D.F. Steady state solutions of master equations without detailed balance. Z Physik B 25, 423–427 (1976). https://doi.org/10.1007/BF01315258

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  • DOI: https://doi.org/10.1007/BF01315258

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