Transport Properties of the Lorentz Gas in Terms of Periodic Orbits

B-1050 Brussels; Belgium); Blegdamsvej 17; Campus Plaine; CH-1211 Geneva 4; Denmark); DK-2100 Copenhagen \O; J.-P. Eckmann (D\'epartement de Physique Th\'eorique; P. Cvitanovi\'c (Niels Bohr Institute; P. Gaspard (Service de Chimie-Physique

arxiv: chao-dyn/9312003 · v1 · submitted 1993-12-05 · chao-dyn · nlin.CD

Transport Properties of the Lorentz Gas in Terms of Periodic Orbits

P. Cvitanovi\'c (Niels Bohr Institute , Blegdamsvej 17 , DK-2100 Copenhagen \O , Denmark) , J.-P. Eckmann (D\'epartement de Physique Th\'eorique , Universit\'e de Gen\`eve , CH-1211 Geneva 4 , Switzerland)

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P. Gaspard (Service de Chimie-Physique Universit\'e Libre de Bruxelles Campus Plaine B-1050 Brussels Belgium)

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classification chao-dyn nlin.CD

keywords periodicspacecellcyclesdiffusiondynamicalelementaryestablish

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We establish a formula relating global diffusion in a space periodic dynamical system to cycles in the elementary cell which tiles the space under translations.

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Transport Properties of the Lorentz Gas in Terms of Periodic Orbits

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