[PDF][PDF] Dynamics of particles in corrugated waveguides classical description

AJ Martínez-Mendoza, JA Méndez-Bermúdez… - Revista Mexicana de …, 2012 - redalyc.org
Revista Mexicana de Física, 2012redalyc.org
We construct a classical map to describe the dynamics of point particles moving inside a
corrugated waveguide. By the use of Chirikov's overlapping resonance criterion we are able
to identify the onset of global chaos as a function of the geometrical parameters of the
waveguide. Then,(i) in the regime of global chaos we derive an heuristic expression for the
diffusion coefficient of the angle; and (ii) in the regime of mixed chaos we analyze the
scaling of the angle dispersion.
We construct a classical map to describe the dynamics of point particles moving inside a corrugated waveguide. By the use of Chirikov’s overlapping resonance criterion we are able to identify the onset of global chaos as a function of the geometrical parameters of the waveguide. Then,(i) in the regime of global chaos we derive an heuristic expression for the diffusion coefficient of the angle; and (ii) in the regime of mixed chaos we analyze the scaling of the angle dispersion.
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