Abstract
A billiard problem with boundary arcs that meet tangentially is studied both analytically and numerically. It is shown that the presence of tangential vertices leads to velocity correlations which decay like 1/n wheren is the number of collisions. This result contrasts with related billiard and Lorentz models where velocity correlations decay exponentially.
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Research supported by the National Science Foundation under grant No. CHE77-16308.
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Machta, J. Power law decay of correlations in a billiard problem. J Stat Phys 32, 555–564 (1983). https://doi.org/10.1007/BF01008956
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DOI: https://doi.org/10.1007/BF01008956