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On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary state

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Zeitschrift für Physik B Condensed Matter

Abstract

It is pointed out that chemical reactions which show an absorbing stationary state in the master-equation approach (e.g. Schlögl's first reaction) exhibit nevertheless a second order phase transition in non-zero dimensional macroscopic systems. The relation to Reggeon field theory is given more directly than by Grassberger et al. using the functional integral formalism of statistical dynamics. As a new result the correlation length exponent ν and the order parameter exponent β are found toO(ε2) in an ɛ-expansion around the upper critical dimensiond c=4.

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Authors and Affiliations

  1. Institut für Theoretische Physik III, Universität Düsseldorf, Universitätsstrasse 1, Gebäude 25.32, D-4000, Düsseldorf, Federal Republic of Germany

    H. K. Janssen

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  1. H. K. Janssen
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Janssen, H.K. On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary state. Z. Physik B - Condensed Matter 42, 151–154 (1981). https://doi.org/10.1007/BF01319549

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  • DOI: https://doi.org/10.1007/BF01319549

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