Fractal nature of the phase space and energy landscape topology


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Fractal nature of the phase space and energy landscape topology

  • Gerardo G. Naumis

  • Instituto de Física, UNAM. México D.F., Mexico.


Introduction









Energy landscapes and rigidity











Rigidity Theory

  • With N hindges, how many bars do I need to make the system rigid?







Energy landscapes and rigidity



























CONCLUSIONS

  • The topology of the phase space and the topography of the energy landscape are important to understand several thermodynamical and relaxation phenomena.

  • This explains diverse features of simulations in associative fluids.

  • A method to obtain the fractal dimension using the Monte-Carlo rejection ratio was proposed.

  • The application of this method to a simple fluid shows the fractal nature of the phase space and that freezing occurs when the surface scales as the volume in phase space.

  • To read more: G.G. Naumis, Phys. Rev. E71, 056132 (2005).




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