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Mean relaxation time approximation for dynamical correlation functions in stochastic systems near instabilities

II. The single mode laser

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Zeitschrift für Physik B Condensed Matter

Abstract

Correlation functions for the stochastic description of the single mode laser are investigated using the simple approximation method presented in part I[1]. The application of the mean relaxation time approximation to stochastic systems with state spaces of dimensiond>1 is thereby demonstrated. Our approach yields results which are indistinguishable from the actual lineshape. Hence, they constitute a slight improvement over the results of Risken and co-workers, where these results are based on an analysis of the lowest eigenvalue of the stochastic operator.

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Author notes

  1. W. Nadler

    Present address: Arthur Amos Noyes Laboratory of Chemical Physics, California Institute of Technology, 91125, Pasadena, CA, USA

Authors and Affiliations

  1. Physik Department Institut T30, Technische Universität München, James-Franckh-Strasse, D-8046, Garching, Federal Republic of Germany

    W. Nadler & K. Schulten

Authors
  1. W. Nadler
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  2. K. Schulten
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Nadler, W., Schulten, K. Mean relaxation time approximation for dynamical correlation functions in stochastic systems near instabilities. Z. Physik B - Condensed Matter 72, 535–543 (1988). https://doi.org/10.1007/BF01314535

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  • DOI: https://doi.org/10.1007/BF01314535

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