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• W1911752634 abstract "We investigate statistical properties of several classes of periodic billiard models which are diffusive. An introductory chapter gives motivation, and then a review of statistical properties of dynamical systems is given in chapter 2. In chapter 3, we study the geometry dependence of diffusion coefficients in a two-parameter 2D periodic Lorentz gas model, including a discussion of how to estimate them from data. In chapter 4, we study the shape of position and displacement distributions, which occur in the central limit theorem. We show that there is an oscillatory fine structure and what its origin is. This allows us to conjecture a refinement of the central limit theorem in these systems. A non-Maxwellian velocity distribution is shown to lead to a non-Gaussian limit distribution. Chapter 5 treats polygonal billiard channels, developing a picture of when normal and anomalous diffusion occur, the latter being due to parallel scatterers in the billiard causing a channelling effect. We also characterize the crossover from normal to anomalous diffusion. In chapter 6, we extend our methods to a 3D periodic Lorentz gas model, showing that normal diffusion occurs under certain conditions. In particular, we construct an explicit finite-horizon model, and we discuss the effect that holes in configuration space have on the diffusive properties of the system. We finish with conclusions and directions for future research." @default.
• W1911752634 created "2016-06-24" @default.
• W1911752634 creator A5072708434 @default.
• W1911752634 date "2008-08-16" @default.
• W1911752634 modified "2023-10-01" @default.
• W1911752634 title "Deterministic Diffusion in Periodic Billiard Models" @default.
• W1911752634 cites W1137656838 @default.
• W1911752634 cites W1483611947 @default.
• W1911752634 cites W1484033701 @default.
• W1911752634 cites W1490816172 @default.
• W1911752634 cites W1493791142 @default.
• W1911752634 cites W1498734336 @default.
• W1911752634 cites W1512457246 @default.
• W1911752634 cites W1517060137 @default.
• W1911752634 cites W1546444745 @default.
• W1911752634 cites W1558863010 @default.
• W1911752634 cites W1563841436 @default.
• W1911752634 cites W1577336890 @default.
• W1911752634 cites W1583686354 @default.
• W1911752634 cites W1590304060 @default.
• W1911752634 cites W1591593323 @default.
• W1911752634 cites W1595007535 @default.
• W1911752634 cites W1596416914 @default.
• W1911752634 cites W1621727556 @default.
• W1911752634 cites W1622427330 @default.
• W1911752634 cites W1635295287 @default.
• W1911752634 cites W1963592890 @default.
• W1911752634 cites W1965480470 @default.
• W1911752634 cites W1967222679 @default.
• W1911752634 cites W1969901035 @default.
• W1911752634 cites W1974628665 @default.
• W1911752634 cites W1976448845 @default.
• W1911752634 cites W1976625337 @default.
• W1911752634 cites W1976962685 @default.
• W1911752634 cites W1978945085 @default.
• W1911752634 cites W1983625938 @default.
• W1911752634 cites W1985613585 @default.
• W1911752634 cites W1988372449 @default.
• W1911752634 cites W1991162958 @default.
• W1911752634 cites W1992647845 @default.
• W1911752634 cites W1992659238 @default.
• W1911752634 cites W1993956956 @default.
• W1911752634 cites W1994501847 @default.
• W1911752634 cites W1997868713 @default.
• W1911752634 cites W1998371866 @default.
• W1911752634 cites W1998727969 @default.
• W1911752634 cites W2001672996 @default.
• W1911752634 cites W2001966464 @default.
• W1911752634 cites W2002700608 @default.
• W1911752634 cites W2002729176 @default.
• W1911752634 cites W2003115626 @default.
• W1911752634 cites W2007080475 @default.
• W1911752634 cites W2008012465 @default.
• W1911752634 cites W2008805065 @default.
• W1911752634 cites W2009991884 @default.
• W1911752634 cites W2011017194 @default.
• W1911752634 cites W2017645110 @default.
• W1911752634 cites W2018535636 @default.
• W1911752634 cites W2019074111 @default.
• W1911752634 cites W2026574856 @default.
• W1911752634 cites W2026720219 @default.
• W1911752634 cites W2029216970 @default.
• W1911752634 cites W2029492563 @default.
• W1911752634 cites W2035247176 @default.
• W1911752634 cites W2035276085 @default.
• W1911752634 cites W2035452525 @default.
• W1911752634 cites W2036464709 @default.
• W1911752634 cites W2040561350 @default.
• W1911752634 cites W2041902442 @default.
• W1911752634 cites W2045166668 @default.
• W1911752634 cites W2046567475 @default.
• W1911752634 cites W204885769 @default.
• W1911752634 cites W2051224007 @default.
• W1911752634 cites W2054967627 @default.
• W1911752634 cites W2055076398 @default.
• W1911752634 cites W2055178055 @default.
• W1911752634 cites W2056454305 @default.
• W1911752634 cites W2057908063 @default.
• W1911752634 cites W2057985808 @default.
• W1911752634 cites W2061359008 @default.
• W1911752634 cites W2064361774 @default.
• W1911752634 cites W2064724200 @default.
• W1911752634 cites W2065689592 @default.
• W1911752634 cites W2066715774 @default.
• W1911752634 cites W2073902038 @default.
• W1911752634 cites W2075302537 @default.
• W1911752634 cites W2076907850 @default.
• W1911752634 cites W2076923354 @default.
• W1911752634 cites W2077008189 @default.
• W1911752634 cites W2080841589 @default.
• W1911752634 cites W2081817659 @default.
• W1911752634 cites W2082744026 @default.
• W1911752634 cites W2084255882 @default.
• W1911752634 cites W2084600723 @default.
• W1911752634 cites W2086608546 @default.
• W1911752634 cites W2089151823 @default.
• W1911752634 cites W2089351774 @default.
• W1911752634 cites W2091256201 @default.
• W1911752634 cites W2092595082 @default.
• W1911752634 cites W2093067381 @default.

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