Simulation of the Wiener sausage

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 3 A, 2000, Pages 3116-3120

  Yang, D Y ^a   Makhnovskii, Yu A ^a,b   Sheu, S Y ^c   Lin, S H ^a  

^a INSTITUTE OF ATOMIC AND MOLECULAR SCIENCES   (Taiwan)

^b TOPCHIEV INSTITUTE OF PETROCHEMICAL SYNTHESIS   (Russian Federation)

^c NATIONAL YANG MING UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; VECTORS;

GAUSSIAN DISTRIBUTION; WIENER SAUSAGE;

BROWNIAN MOVEMENT;

EID: 0034270143     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3116     Document Type: Article

References (27)

1. M. Kac, Rocky Mt. J. Math. 4, 511 (1974).
2. M. A. Leontovich and A. N. Kolmogorov, Phys. Z. Sowjetunion 4, 1 (1933).
3. A. Dvoretzky and P. Erdös, in Proceedings of the 2nd Berkeley Symposium on Mathematical Statistics and Probability (University of California Press, Berkeley, 1951), p. 353.
4. E. W. Montroll, Proc. Symp. Appl. Math. 16, 193 (1964).
5. N. C. Jain and W. E. Pruit, J. Anal. Math. 24, 369 (1971).
6. H. Larralde and G. H. Weiss, J. Phys. A 28, 5217 (1995).
7. D. C. Torney, J. Stat. Phys. 44, 49 (1986).
8. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
9. L. S. Shulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1983).
10. L. S. Shulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1983).
11. A. S. Sznitman, Brownian Motion, Obstacles and Random Media (Springer, Berlin, 1998).
12. M. Kac and J. M. Luttinger, J. Math. Phys. 15, 183 (1974); S. Havlin and D. Ben-Avraham, Adv. Phys. 36, 695 (1987); A. M. Berezhkovskii, S. M. Bezrukov, D. J. Bicout, and G. H. Weiss, J. Chem. Phys. 111, 5641 (1999).
13. M. Kac and J. M. Luttinger, J. Math. Phys. 15, 183 (1974); S. Havlin and D. Ben-Avraham, Adv. Phys. 36, 695 (1987); A. M. Berezhkovskii, S. M. Bezrukov, D. J. Bicout, and G. H. Weiss, J. Chem. Phys. 111, 5641 (1999).
14. M. Kac and J. M. Luttinger, J. Math. Phys. 15, 183 (1974); S. Havlin and D. Ben-Avraham, Adv. Phys. 36, 695 (1987); A. M. Berezhkovskii, S. M. Bezrukov, D. J. Bicout, and G. H. Weiss, J. Chem. Phys. 111, 5641 (1999).
15. H. B. Rosenstock, Phys. Rev. 187, 487 (1969); A. Blumen, J. Klafter, and G. Zumofen, in Optical Spectroscopy of Glasses, edited by I. Zschokke (Reidel, Dordrecht, 1986), p. 199; A. M. Berezhkovskii, Yu. A. Makhnovskii, and R. A. Suris, Chem. Phys. 137, 41 (1989); F. den Hollander and G. H. Weiss, in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994), p. 147; G. Oshanin, M. Moreau, and S. Burlatsky, Adv. Colloid Interface Sci. 49, 1 (1994).
16. H. B. Rosenstock, Phys. Rev. 187, 487 (1969); A. Blumen, J. Klafter, and G. Zumofen, in Optical Spectroscopy of Glasses, edited by I. Zschokke (Reidel, Dordrecht, 1986), p. 199; A. M. Berezhkovskii, Yu. A. Makhnovskii, and R. A. Suris, Chem. Phys. 137, 41 (1989); F. den Hollander and G. H. Weiss, in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994), p. 147; G. Oshanin, M. Moreau, and S. Burlatsky, Adv. Colloid Interface Sci. 49, 1 (1994).
17. H. B. Rosenstock, Phys. Rev. 187, 487 (1969); A. Blumen, J. Klafter, and G. Zumofen, in Optical Spectroscopy of Glasses, edited by I. Zschokke (Reidel, Dordrecht, 1986), p. 199; A. M. Berezhkovskii, Yu. A. Makhnovskii, and R. A. Suris, Chem. Phys. 137, 41 (1989); F. den Hollander and G. H. Weiss, in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994), p. 147; G. Oshanin, M. Moreau, and S. Burlatsky, Adv. Colloid Interface Sci. 49, 1 (1994).
18. H. B. Rosenstock, Phys. Rev. 187, 487 (1969); A. Blumen, J. Klafter, and G. Zumofen, in Optical Spectroscopy of Glasses, edited by I. Zschokke (Reidel, Dordrecht, 1986), p. 199; A. M. Berezhkovskii, Yu. A. Makhnovskii, and R. A. Suris, Chem. Phys. 137, 41 (1989); F. den Hollander and G. H. Weiss, in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994), p. 147; G. Oshanin, M. Moreau, and S. Burlatsky, Adv. Colloid Interface Sci. 49, 1 (1994).
19. H. B. Rosenstock, Phys. Rev. 187, 487 (1969); A. Blumen, J. Klafter, and G. Zumofen, in Optical Spectroscopy of Glasses, edited by I. Zschokke (Reidel, Dordrecht, 1986), p. 199; A. M. Berezhkovskii, Yu. A. Makhnovskii, and R. A. Suris, Chem. Phys. 137, 41 (1989); F. den Hollander and G. H. Weiss, in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994), p. 147; G. Oshanin, M. Moreau, and S. Burlatsky, Adv. Colloid Interface Sci. 49, 1 (1994).
20. J.-F. Le Gall, Ann. Prob. 16, 991 (1988).
21. M. D. Donsker and S. R. S. Varadhan, Commun. Pure Appl. Math. 28, 525 (1975).
22. G. H. Weiss and R. J. Rubin, Adv. Chem. Phys. 52, 363 (1983).
23. A. M. Berezhkovskii, Yu. A. Makhnovskii, and R. A. Suris, J. Stat. Phys. 57, 333 (1989).
24. D. L. Ermack and J. A. McCammon, J. Chem. Phys. 69, 1352 (1978).
25. G. Lamm and K. Shulten, J. Chem. Phys. 78, 2713 (1983).
26. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943).
27. Yu. A. Makhnovskii, M. E. Maslova, and A. M. Berezhkovskii, Physica A 225, 221 (1996).