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Nonequilibrium Fluctuations in a Gaussian Galton Board (or Periodic Lorentz Gas) Using Long Periodic Orbits | | Wm. G. Hoover
; Carol G. Hoover
; | | Date: |
11 Nov 2010 | | Abstract: | Predicting nonequilibrium fluctuations requires a knowledge of nonequilibrium
distribution functions. Despite the distributions’ fractal character some
theoretical results, "Fluctuation Theorems", reminiscent of but distinct from,
Gibbs’ equilibrium statistical mechanics and the Central Limit Theorem, have
been established away from equilibrium and applied to simple models. We
summarize the simplest of these results for a Gaussian-thermostated Galton
Board problem, a field-driven mass point moving through a periodic array of
hard-disk scatterers. The data we analyze correspond to periodic orbits with up
to 482,761,061 collisions and 271,845,221,486 timesteps. | | Source: | arXiv, 1011.2543 | | Services: | Forum | Review | PDF | Favorites | |
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