Lattice Gas/Boltzmann

1

J.J. Arenzon, M. Nicodemi, and M. Sellitto.
Equilibrium properties of the ising frustrated lattice gas.
J. Phys. I France, 6:1143-1152, 1996.

2

R. Benzi, S. Succi, and M. Vergassola.
The lattice-boltzmann equation - theory and applications.
Phys. Rep., 3:145-, 1992.

3

L.A. Bunimovich, A. Lambert, and R. Lina.
The emergence of coherent structures in coupled map lattices.
J. of Stat. Phys., 1990.

4

N. Cao, S. Chen, and D. Martinez.
Physical symmetry and lattice symmetry in the lattice boltzmann method.
Physical Review E, 55(1):R21-R24, 1997.

5

S. Chen and G.D. Doolen.
Lattice-boltzmann method for fluid flows.
Annual Review of Fluid Mechanics, 30:329-364, 1998.

6

S. Chen and G.D. Doolen.
Lattice boltzmann method for fluid flows.
Annu. Rev. Fluid Mech., 30(329-), 1998.

7

S. Chen, X. Shan Z. Wang, and G. Doolen.
Lattice-boltzmann computational fluid dynamics in three dimensions.
J. of Stat. Phys., 68:379-, 1992.

8

B. Chopard, L. Frachebourg, and M. Droz.
Multiparticle lattice gas automata for reaction diffusion systems.
International Journal of Modern Physics C, 5(1):47-63, 1994.

9

E.G.D. Cohen and F. Wang.
New results for diffusion in lorentz lattice gas cellular automata.
Technical Report 9501003, 1995.

10

D. Dab, J-P. Boon, and Y-X Li.
Lattice-gas automata for coupled reaction-diffusion equations.
Phys. Rev. Let., 66(19):2535-2538, 1991.

11

P. de Forcrand, F. Koukiou, and D. Petritis.
Self-avoiding random walks on the hexagonal lattice.
J. of Stat. Phys., 45(3/4):459-470, 1986.

12

G.D. Doolen.
Lattice gas methods for partial differential equations.
Addison-Wesley, New York, 1990.
-.

13

G.D. Doolen, U. Frisch, B. Hasslacher, and S Wolfram, editors.
Lattice Gas Methods For Partial Differential Equations, volume IV of Santa Fe Institute studies in the sciences of complexity. Addison-Wesley, 1990.

14

M. Duong-Van, F.P. Keller, and M. Pound.
The nature of turbulence in a triangular lattice gas automaton.
Physica D, 23:448-454, 1986.

15

U. Frisch, D. d'Humieres, B. Hasslacher, P. Lallemand, Y. Pomeau, and J-P. Rivet.
Lattice gas hydrodynamics in two and three dimensions.
In Doolen et al. [13].

16

U. Frisch, D. d'Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.P. Rivet.
Lattice gas hydrodynamics in two and three dimensions.
Complex Systems, 1:649-707, 1987.
xnr=x lattice gas, hydrodynamics 3D, (see also reprint in kn:Doolen).

17

U. Frisch, B. Hasslacher, and Y. Pomeau.
Lattice-gas automata for the Navier-Stokes equation.
Phys. Rev. Lett., 56(14):1505-1508, 1986.
xnr=x lattice gas, hydrodynamics.

18

P. Halpern.
Genetic algorithms on structurally dynamic lattices.
In T. Toffoli, M. Biafore, and J. Le ao, editors, Fourth workshop on physics and computation, pages 135-136, 1997.

19

F.J. Higuera and J. Jimenez.
Boltzmann approach to lattice-gas simulations.
Europhysics letters, 9(7):663-668, 1989.

20

F.J. Higuera, S. Succi, and R. Benzi.
Lattice gas dynamics with enhanced collision.
Europhysics letters, 9:345-349, 1989.

21

G. Hu, F. Xie, Z. Qu, and F. Zhang.
Locally excited coupled map lattice: Phase transition from a local to a global response.
Physical Review E, 54(2):1305-1312, 1996.

22

D. Kandhai, A. Koponen, A. Hoekstra, M. Kataja, J. Timonen, and P.M.A. Sloot.
Lattice boltzmann hydrodynamics on parallel systems.
Computer Physics Communications, III:1-13, 1998.

23

K. Kaneko.
Lyapunov analysis and information flow in coupled map lattices.
Physica D, 23:436-447, 1986.

24

R. Kapral, A. Lawniczak, and P. Masiar.
Oscillations and waves in a reactive lattice-gas automaton.
Phys. Rev. Let., 66(19):2539-2542, 1991.

25

K. Lindgren.
Entropy and correlations in dynamical lattice systems.
1989.

26

J. Machta.
The computational complexity of the self-avoiding walk on random lattices.
J. Phys. A: Math. Gen., 25:521-527, 1992.

27

J. Machta and K. Moriarty.
The computational complexity of the lorentz lattice gas.
Journal of statistical physics, 87(5/6):1245-1252, 1997.

28

P. Marcq, H. Chaté, and P. Manneville.
Universality in ising-like phase transitions of lattices of coupled chaotic maps.
Physical Review E, 55(3):2606-2627, 1997.

29

G. McNamara and G. Zanetti.
Use of the boltzmann equation to simulate lattice-gas automata.
Phys. Rev. Lett., 61:2332-2335, 1988.

30

C. Moore and M.G. Nordhal.
Lattice gas prediction is p-complete.
Technical Report SFI 97-04-043, Santa Fe Institute, 1997.

31

Y.H. Qian, D.d'Humieres, and P. Lallemand.
Lattice bgk models for the navier-stokes equation.
Europhysics letters, 17(6):479-484, 1992.

32

D. H. Rothman and S. Zaleski.
Lattice gas cellular automata.
Cambridge University Press, 1997.

33

J.B. Rundle, W. Klein, S. Gross, and D.L. Turcotte.
Boltzmann fluctuations in numerical simulations of nonequilibrium lattice threshold systems.
Phys. Rev. Let., 75(8):1658-1661, 1995.

34

R. Squier and K. Steiglitz.
Testing parallel simulators for two-dimensional lattice-gas automata.
Complex Systems, 5:63-68, 1991.

35

R.K. Squier and K. Steiglitz.
Two-dimensional fhp lattice gases are computation universal.
Complex Systems, 7:297-307, 1993.

36

S. Succi, R. Benzi, and F. Massaioli.
A review of the lattice boltzmann method.
In Doolen et al. [13], pages 177-183.

37

S. Succi, R. Benzi, and F. Massaioli.
A review of the lattice Boltzmann method.
In R.A. de Groot and J. Nadrchal, editors, Physics Computing '92, pages pp 177-183, Singapore, 1992. World Scientific.
xnr=1/19x lattice gas, lattice Boltzmann.

38

B.R. Sutherland and A.E. Jacobs.
Self-organization and scaling in a lattice predator-prey model.
Complex Systems, 8:385-405, 1994.

39

M.R. Swift, W.R. Osborn, and J.M. Yeomans.
Lattice boltzmann simulation of nonideal fluids.
Phys. Rev. Let., 75(5):830-833, 1995.

40

T. Toffoli.
Four Topics in Lattice Gases: Ergodicity; Relativity; Infomation Flow; and Rule Compression for Parallel Lattice-Gas Machines, pages 343-354.
World Scientific, 1989.

41

O. Tribel and J.P. Boon.
Lattice gas with "interaction potential".
Technical Report 9503002, nov. 1995.

42

D.A. Young and E.M. Corey.
Lattice models of biological growth.
Phys. Rev. A, 41(12):7024-7032, 1990.