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Generalised equal areas rules for spatially extended systems

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Zeitschrift für Physik B Condensed Matter

Abstract

It is shown that equal areas rules which exist in such different fields as thermodynamics (Maxwell construction), chemical reaction theory (nonequilibrium phase transitions), and semiconductor physics (Gunn-Hilsum effect; current filamentation; grain boundaries) arise as special cases of a general relation between control parameters and boundary values of a second order ordinary differential equation,. They allow one to extract relevant information about spatial profiles of some physical variable in extended systems directly from the constitutive differential equation without explicitly solving it.

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Authors and Affiliations

  1. Institut für Theoretische Physik, RWTH Aachen, Templergraben 55, D-5100, Aachen, Federal Republic of Germany

    E. Schöll

  2. Department of Mathematics, University of Southampton, S09 5NH, Southampton, UK

    P. T. Landsberg

Authors
  1. E. Schöll
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  2. P. T. Landsberg
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Schöll, E., Landsberg, P.T. Generalised equal areas rules for spatially extended systems. Z. Physik B - Condensed Matter 72, 515–521 (1988). https://doi.org/10.1007/BF01314533

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  • DOI: https://doi.org/10.1007/BF01314533

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