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Steady state solutions of master equations without detailed balance
Authors:R Görtz  D F Walls
Institution:(1) Institut für Theoretische Physik, Rheinisch-Westfälische Technische Hochschule, Templergraben, D-5100 Aachen, Federal Republic of Germany;(2) Department of Chemistry, Massachusetts Institute of Technology, 02139 Cambridge, Mass., USA
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.On leave from the University of Waikato, Hamilton, New Zealand
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