Emergent chaos in the verge of phase transitions

Undergraduate Thesis in Physics, Universidad de los Andes (2019)

The description of phase transitions on different physical systems is usually done using Yang and Lee theory. In short, it depicts a phase as a region of the space of configurations in which certain quantities, state functions, behave in a similar manner and where they vary smoothly. In this work, an attempt of discovering similar characteristics in quantities describing the dynamical system which arise from Hamilton equations was done. The Lyapunov exponents, Hausdorff dimension and Kolmogorov Sinai entropy gave interesting results. In fact, the macroscopical description of the system using statistical mechanics and the microscopical characterization as a dynamical system seems to coincide and this leads to interesting questions of how this relation could be exploited to diagnose critical behavior in a many-body system.

Grupo de Física Estadística

Departamento de Física

Edificio Ip

Carrera 1E # 18A-10

Bogotá, Colombia

Universidad de los Andes | Vigilada Mineducación
Reconocimiento como Universidad: Decreto 1297 del 30 de mayo de 1964.
Reconocimiento personería jurídica: Resolución 28 del 23 de febrero de 1949 Minjusticia.

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