Erratum to Billiards in a general domain with random reflections (Arch. Rational Mech. Anal.,(2009) 191, (497-537), 10.1007/s00205-008-0120-x);Billiards in a general domain with random reflections

Archive for Rational Mechanics and Analysis

Volumn 191, Issue 3, 2009, Pages 497-537

  Comets, Francis ^a   Popov, Serguei ^b   Schütz, Gunter M ^c   Vachkovskaia, Marina ^d  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c FORSCHUNGSZENTRUM JÜLICH   (Germany)

^d UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58849088580     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-009-0236-7     Document Type: Erratum

References (28)

1. C. Bardos F. Golse J.-F. Colonna 1997 Diffusion approximation and hyperbolic automorphisms of the torus Phys. D 104 1 32 60
2. Billingsley P. (1995) Probability and Measure. Wiley, New York
3. S. Boatto F. Golse 2002 Diffusion approximation of a Knudsen gas model: dependence of the diffusion constant upon the boundary condition Asymptot. Anal. 31 2 93 111
4. K.A. Borovkov 1991 On a new variant of the Monte Carlo method Theory Probab. Appl. 36 355 360
5. K.A. Borovkov 1994 On simulation of random vectors with given densities in regions and on their boundaries J. Appl. Probab. 31 1 205 220
6. A. Brzank G.M. Schütz 2006 Amplification of molecular traffic control in catalytic grains with novel channel topology design J. Chem. Phys. 124 214701
7. S. Caprino M. Pulvirenti 1996 The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state Commun. Math. Phys. 177 1 63 81
8. Cercignani C. (1988) The Boltzmann Equation and its Applications. Springer, New York
9. M.-O. Coppens A.J. Dammers 2006 Effects of heterogeneity on diffusion in nanopores From inorganic materials to protein crystals and ion channels. Fluid Phase Equilib. 241 1-2 308 316
10. M.-O. Coppens K. Malek 2003 Dynamic Monte-Carlo simulations of diffusion limited reactions in rough nanopores Chem. Eng. Sci. 58 21 4787 4795
11. S.N. Evans 2001 Stochastic billiards on general tables Ann. Appl. Probab. 11 2 419 437
12. Federer H. (1969) Geometric Measure Theory. Springer, New York
13. R. Feres G. Yablonsky 2004 Knudsen's cosine law and random billiards Chem. Eng. Sci. 59 1541 1556
14. Feres, R.: Random Walks Derived from Billiards. Preprint, 2006
15. S. Goldstein C. Kipnis N. Ianiro 1985 Stationary states for a mechanical system with stochastic boundary conditions J. Statist. Phys. 41 5-6 915 939
16. E.T. Jaynes 1973 The well-posed problem Found. Phys. 3 477 493
17. F.J. Keil R. Krishna M.-O. Coppens 2000 Modeling of diffusion in zeolites Rev. Chem. Eng. 16 71
18. Knudsen M. (1952) Kinetic Theory of Gases-Some Modern Aspects. Methuen's Monographs on Physical Subjects, London
19. S. Lalley H. Robbins 1988 Stochastic search in a convex region Probab. Theory Relat. Fields 77 99 116
20. S. Lalley H. Robbins 1987 Asymptotically minimax stochastic search strategies in the plane Proc. Nat. Acad. Sci. USA 84 2111 2112
21. K. Malek M.-O. Coppens 2001 Effects of surface roughness on self- and transport diffusion in porous media in the Knudsen regime Phys. Rev. Lett. 87 125505
22. Meyn S.P., Tweedie R.L. (1993) Markov Chains and Stochastic Stability. Springer, Berlin
23. Morgan F. (1988) Geometric Measure. Theory A beginners guide. Academic Press, San Diego
24. Roberts A.W., Varberg D.E. (1973) Convex Functions. Academic Press, New York
25. H.E. Romeijn 1998 A general framework for approximate sampling with an application to generating points on the boundary of bounded convex regions Statistica Neerlandica 52 1 42 59
26. Russ S., Zschiegner S., Bunde A., Kärger J. Lambert diffusion in porous media in the Knudsen regime: equivalence of self- and transport diffusion. Phys. Rev. E 72 030101(R) (2005)
27. Stoyan D., Kendall W.S., Mecke J. (1987) Stochastic Geometry and its Applications. Wiley, Chichester
28. Thorisson H. (2000) Coupling, Stationarity, and Regeneration. Springer, Berlin