Zeitschrift für Physik B Condensed Matter

, Volume 62, Issue 2, pp 245–253 | Cite as

Influence of boundaries on dissipative structures in the Schlögl model

  • E. Schöll


The stationary spatial structures arising in the Schlögl model of first order nonequilibrium phase transitions are investigated for a one-dimensionals system of finite length.

The solution manifold and the occurring bifurcations are analysed systematically by varying the type of boundary condition, the boundary valuev R ,the system lengthL and the control parameterg. It is shown by plotting appropriate state diagrams that the bistability range of the infinite system is shifted to larger values ofg for small fixedv R and to smaller values ofg for largev R ,and that the shift depends sensitively uponL.


Spectroscopy Boundary Condition Neural Network Manifold Phase Transition 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • E. Schöll
    • 1
  1. 1.Institut für Theoretische Physik, Rheinisch-WestfälischeTechnische Hochschule AachenAachenFederal Republic of Germany

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