The Lyapunov exponent in the Sinai billiard in the small scatterer limit

Nonlinearity

Volumn 10, Issue 1, 1997, Pages 159-173

  Dahlqvist, Per ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041040101     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/1/011     Document Type: Article

References (12)

1. Sinai Y G 1979 Dynamical Systems with Elastic reflections Russ. Math. Surv. 25 137
2. Friedman B, Oono Y and Kubo I 1984 Universal behaviour of Sinai billiard systems in the small-scatterer limit Phys. Rev. Lett. 52 709
3. Chernov N I 1991 Funct. Anal. Appl. 25 204
4. van Beijeren H and Dorfman J R 1995 Lyapunov exponents and Kolmogorov-Sinai entropy for the Lorentz gas at low densities Phys. Rev. Lett. 74 4412
5. Abramov L M 1959 Dokl. Akad. Nauk. SSSR 226 128
6. Sieber M and Steiner F 1990 Physica D 44 248
7. Williams G T and Browne D H 1947 Am. Math. Monthly 54 534 Cvitanović P, Shraiman B and Söderberg B 1985 Phys. Scr. 32 263
8. Williams G T and Browne D H 1947 Am. Math. Monthly 54 534 Cvitanović P, Shraiman B and Söderberg B 1985 Phys. Scr. 32 263
9. Rademacher H Lectures on Elementary Number Theory (New York: Blaisdell)
10. Dahlqvist P 1996 Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functions J. Stat. Phys. 84 773
11. Dahlqvist P 1995 Approximate zeta functions for the Sinai billiard and related systems Nonlinearity 8 11
12. Dahlqvist P and Artuso R 1996 On the decay of correlations in the Sinai billiards with infinite horizon Phys. Lett. A 219 212