On the distribution of free path lengths for the periodic Lorentz gas III

Communications in Mathematical Physics

Volumn 236, Issue 2, 2003, Pages 199-221

  Caglioti, Emanuele ^a   Golse, François ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b INSTITUT UNIVERSITAIRE DE FRANCE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038648793     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0825-5     Document Type: Article

References (13)

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2. Blank, S.: Krikorian, N.: Thorn's problem on irrational flows. Internat. J. of Math. 4, 721-726 (1993)
3. Boca, F., Gologan, R., Zaharescu, A.: The statistics of the trajectory in a certain billiard in of flat two-torus. Preprint, 2001
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5. Boldrighini, C., Bunimovich, L., Sinai, Ya.G.: On the Boltzmann equation for the Lorentz gas. J. Statist. Phys. 32, 477-501 (1983)
6. Bourgain, J., Golse, F., Wennberg, B.: On the Distribution of Free Path Lengths for the Periodic Lorentz Gas. Commun. Math. Phys. 190, 491-508 (1998)
7. Bunimovich, L.: Billiards and other hyperbolic systems. In: Dynamical Systems, Ergodic Theory and Applications. Ya. G. Sinai, et al. (ed), Encyclopaedia Math. Sci. 100, 2nd ed., Berlin: Springer-Verlag, 2000, pp. 192-233
8. Caglioti, E., Golse, F.: Work in preparation
9. Chernov, N.: Entropy values and entropy bounds. In: Hard Ball Systems and the Lorentz Gas. D. Szász (ed), Encyclopaedia Math. Sci., 101, Berlin: Springer-Verlag, 2000, pp. 121-143
10. Cioranescu, D., Murat, F.: Un terme étrange venu d'ailleurs I & II. In: Nonlinear Partial Differential Equations and their Applications: Collège de France Seminar. I in Vol. II (Paris, 1979/1980), pp. 98-138, 389-390, II in Vol. III (Paris, 1980/1981), pp. 154-178, 425-426, Res. Notes in Math., 60 & 70, Boston, Mass.-London: Pitman, 1982
11. Gallavotti, G.: Rigorous theory of the Boltzmann equation in the Lorentz gas. Nota interna no. 358, Istituto di Fisica, Univ. di Roma (1972). Reprinted in "Statistical mechanics: A short treatise". Berlin-Heidelberg: Springer, 1999, pp. 48-55
12. Golse, F., Wennberg, B.: On the distribution of free path lengths for the periodic Lorentz gas II. M2AN Modél. Math, et Anal. Numér. 34(6), 1151-1163 (2000)
13. Lorentz, H.: Le mouvement des électrons dans les métaux. Arch. Néerl. 10, 336 (1905); reprinted in Collected papers. Vol. 3 The Hague: Martinus Nijhoff, 1936. pp. 180-214