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    Transport in Poygonal Billiard Systems

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    Reames_umd_0117E_10551.pdf (10.09Mb)
    No. of downloads: 308

    Date
    2009
    Author
    Reames, Matthew Lee
    Advisor
    Dorfman, J. R.
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    Abstract
    The aim of this work is to explore the connections between chaos and diffusion by examining the properties of particle motion in non-chaotic systems. To this end, particle transport and diffusion are studied for point particles moving in systems with fixed polygonal scatterers of four types: (i) a periodic lattice containing many-sided polygonal scatterers; (ii) a periodic lattice containing few-sided polygonal scatterers; (iii) a periodic lattice containing randomly oriented polygonal scatterers; and (iv) a periodic lattice containing polygonal scatterers with irrational angles. The motion of a point particle in each of these system is non-chaotic, with Lyapunov exponents strictly equal to zero.
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    http://hdl.handle.net/1903/9530
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