Cellular automaton fluids 1: Basic theory

[1]  B. G. Wybourne,et al.  Classical Groups for Physicists , 1974 .

[2]  W. Scott,et al.  Group Theory. , 1964 .

[3]  S. Wolfram,et al.  Two-dimensional cellular automata , 1985 .

[4]  R. Penrose.  Pentaplexity A Class of Non-Periodic Tilings of the Plane , 1979 .

[5]  A. Messiah.  Quantum Mechanics , 1961 .

[6]  D. Tritton,et al.  Physical Fluid Dynamics , 1977 .

[7]  R. Schwarzenberger,et al.  N-dimensional crystallography , 1980 .

[8]  T. N. Stevenson,et al.  Fluid Mechanics , 2021, Nature.

[9]  G. Papanicolaou,et al.  The fluid‐dynamical limit of a nonlinear model boltzmann equation , 1979 .

[10]  Wolfram,et al.  Origins of randomness in physical systems. , 1985, Physical review letters.

[11]  James B. Salem,et al.  Thermodynamics and Hydrodynamics of Cellular Automata , 2010 .

[12]  J. Broadwell,et al.  Shock Structure in a Simple Discrete Velocity Gas , 1964 .

[13]  Stephen Wolfram,et al.  Theory and Applications of Cellular Automata , 1986 .

[14]  D. Haar,et al.  Statistical Physics , 1971, Nature.

[15]  D. F. Johnston,et al.  Representations of groups , 1964, The Mathematical Gazette.

[16]  Ramaswamy,et al.  Elasticity and dislocations in pentagonal and icosahedral quasicrystals. , 1985, Physical review letters.

[17]  S. Wolfram.  Random sequence generation by cellular automata , 1986 .

[18]  Y. Pomeau,et al.  Thermodynamics and Hydrodynamics for a Modeled Fluid , 1972 .

[19]  S. Wolfram,et al.  Baryon number generation in the early universe , 1980 .

[20]  N. D. Bruijn.  Algebraic theory of Penrose''s non-periodic tilings , 1981 .

[21]  Frisch,et al.  Lattice gas automata for the Navier-Stokes equations. a new approach to hydrodynamics and turbulence , 1989 .

[22]  Pierre Resibois,et al.  Classical kinetic theory of fluids , 1977 .

[23]  Y. Pomeau,et al.  Time evolution of a two‐dimensional model system. I. Invariant states and time correlation functions , 1973 .

[24]  Stephen Wolfram,et al.  Cellular automata as models of complexity , 1984, Nature.

[25]  J. Linnett,et al.  Quantum mechanics , 1975, Nature.

[26]  R. Gatignol.  Théorie cinétique des gaz à répartition discrète de vitesses , 1975 .

[27]  R. Slansky.  Group theory for unified model building , 1981 .

[28]  M. Ernst,et al.  Kinetic theory of nonlinear viscous flow in two and three dimensions , 1978 .

[29]  Y. Pomeau,et al.  Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions , 1976 .

[30]  A. Sommerfeld.  Thermodynamics and Statistical Mechanics , 1956 .

[31]  Pierre Lallemand,et al.  Simulation d'allées de Von Karman bidimensionnelles à l'aide d'un gaz sur réseau , 1985 .

[32]  J. Rivet,et al.  Automates sur gaz de réseau dans l'approximation de Boltzmann , 1986 .

[33]  S. Orszag,et al.  Analogy between hyperscale transport and cellular automaton fluid dynamics , 1986 .