M��nsteranian Torturials on Nonlinear Science: ACCHFP - fixed points of the Allen-Cahn equation

The tutorial ACCHFP is one of a series of tutorials on the practical application of numerical path-continuation methods for problems in soft matter and pattern formation. It is part of the ``M��nsteranian Torturials on Nonlinear Science''. The tutorial explores the spatially uniform steady states of the Allen-Cahn equation. You will calculate steady states as a function of the continuation parameters temperature, chemical potential and external field. The results that you will obtain, may look familiar to you from the Ising model. The employed code package is auto07p. It is recommended to consider this tutorial after working through some of the tutorials that are part of auto07p.

The M��nsteranian Torturials on Nonlinear Science are edited by U. Thiele, O. Kamps and S. V. Gurevich and hosted by the Center for Nonlinear Science (CeNoS) of WWU M��nster.

Keywords

numerical method, nonlinear science, bifurcation analysis, pseudo-arclength continuation, Allen-Cahn equation, Cahn-Hilliard equation, homogeneous steady states, bifurcation diagram

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