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computational methods for bifurcation problems

European Journal of Applied Mathematics (1)

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A criterion for symmetric tricritical points in condensed ordered phases
F. BISI, E. C. GARTLAND, JR., E. G. VIRGA
Journal:

European Journal of Applied Mathematics / Volume 23 / Issue 1 / February 2012

Published online by Cambridge University Press:

05 January 2011, pp. 3-28
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Basic methods from bifurcation theory are applied to derive a criterion that predicts when a symmetric tricritical point may occur in a transition between condensed ordered phases described by any finite number of scalar order parameters. At such a point, a change of order takes place in the phase transition, which passes from first to second order, or vice versa.