berg@cip-s04.informatik.rwth-aachen.de (AKA Solitair) (11/12/90)
I got several overlapping literature references, I took out the double
ones and have summarized below (edited quotes):
**
There is a book on lattice gas dynamics published in 1989 (I think)
by the Santa Fe Institute which may talk to this problem.
The book was written by Dr. Steve Orszag.
You might also want to check out the program Cellsim
which can be anonymously ftp'ed from turing.cs.rpi.edu (128.213.1.1).
An excellent book is called Cellular Automata Machines by Tommaso
Toffoli & Norman Margolus. It describes using CAMs to do soil erosion
simulations, gas simulations, etc.
"Cellular Automata Modeling of Complex Physical Systems" (P. Manneville
et al, Springer-Verlag 1989) and "Complex Systems and Cognitive Processes"
(Serra & Zanarini, Springer-Verlag 1990). Topics of interest include
Ising spin systems, percolation, hydrodynamics, diffusion, lattice gases
etc.
Some relevant papers:
P. Clavin, D. d'Humieres, P. Lallemand, and Y. Pomeau, C. R. Acad. Sci. Paris
II, 303 (1986) 1169
F. Coulouvrat and R. Gatignol, C. R. Acad. Sci. Paris II, 306 (1988) 393
U. Frisch, D. d'Humieres, B. Hasslacher, P. Lallemand, and Y. Pomeau, Complex
Systems, 1 (1987) 646
U. Frisch, B. Hasslacher, and Y. Pomeau, Physical Review Letters, 56 (1986)
1505
U. Frisch and J. P. Rivet, C. R. Acad. Sci. Paris II, 303 (1986) 1065
R. Gatignol and F. Coulouvrat, C. R. Acad. Sci. Paris II, 306 (1988) 169
J. Hardy, O. de Pazzis, and Y. Pomeau, Physical Review A, 13 (1976) 1949
J. Hardy and Y. Pomeau, J. Math. Phys., 13 (1972) 1042
J. Hardy, Y. Pomeau, and O. de Pazzis, J. Math. Phys., 14 (1973) 1746
F. Hayot, Physica, 26D (1987) 210
D. d'Humieres and P. Lallemand, Physica,140A (1986) 326.
D. d'Humieres and P. Lallemand, C. R. Acad. Sci.Paris II, 302 (1986) 983
D. d'Humieres, P. Lallemand, and U. Frisch, Europhysics Letters, 2 (1986) 291
D. d'Humieres, P. Lallemand, and T. Shimomura, Los Alamos preprint
LA-UR-85-4051 (1985)
D. d'Humieres, Y. Pomeau, and P. Lallemand, C. R. Acad. Sci. Paris II, 301
(1985) 1391
N. Margolus, T. Toffoli, and G. Vichniac, Physical Review Letters, 56 (1986)
1694
S. A. Orszag and V. Yakhot, Physical Review Letters, 56 (1986) 1691
J. P. Rivet and U. Frisch, C. R. Acad. Sci. Paris II, 302 (1986) 267
J. P. Rivet, C. R. Acad. Sci. Paris II, 305 (1987) 751
S. Wolfram, Physical Review Letters, 55 (1985) 449
S. Wolfram, Nature, 311 (1984) 419
G. Y. Vichniac, Physica, 10D, (1984) 96
**
--
Sincerely, berg%cip-s01.informatik.rwth-aachen.de@unido.bitnet
Stephen R. van den Berg.
"I code it in 5 min, optimize it in 90 min, because it's so well optimized:
it runs in only 5 min. Actually, most of the time I optimize programs."