Two Dimensional Poincare Maps constructed through Ginzburg-Landau Theory of critical phenomena in Physics

Yiannis Contoyiannis; Myron Kampitakis

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arXiv · 1904.05194

Two Dimensional Poincare Maps constructed through Ginzburg-Landau Theory of critical phenomena in Physics

Yiannis Contoyiannis·Myron Kampitakis

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Abstract

Based on the saddle point approximation in G-L theory of the critical phenomena we construct two-dimensional Poincare maps which describe the symmetry breaking (SB) and the tricritical crossover phenomenon in Physics. The phase space diagrams of these maps are in agreement with the theoretical predictions. A correction in these maps close to the critical point for small values of the order parameter is attempted. Finally we demonstrate that numerical experiments verify the correctness of these maps.

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Yiannis Contoyiannis, Myron Kampitakis. 2019-05-02. Two Dimensional Poincare Maps constructed through Ginzburg-Landau Theory of critical phenomena in Physics. https://arxiv.org/abs/1904.05194

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