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I use SIMULATED ANNEALING algorithm searching optimum structures:
In optimisation field, algorithms that artificially
imitate the natural systems behaviour are surging. In this way, the
evolution laws and the
natural selection have been reproduced in genetic algorithm; or the
simplex
(by Nelder-Mead) method simulates a variable diameter ball running on a
surface until it attains the lowest point.
Annealing is a physical process in which a solid is
melted at large temperatures
until all molecules of the melted solid can move freely with respect to
another one, followed by cooling until thermal mobility is lost. In
this
way, if the cooling process is carried out sufficiently slowly, the
atoms
are often able to arrange themselves in a low energy state. In some
cases
those states can be recognised by its visual perfection like the form
of
a pure crystal that is completely ordered. During the process, the free
energy of the solid is minimised. Simulated annealing establishes a
correspondence
between the objective function and the free energy of simple
thermodynamics
systems under a slow descent of its temperature, and between the
solutions
and the physical states.