Normand Mousseau 1997 J. Phys. A: Math. Gen. 30 2995 doi:10.1088/0305-4470/30/9/013
Normand Mousseau
Show affiliationsFrustration is introduced in randomly connected totalistic cellular automata via mixing rules leading to incompatible periods. As the respective concentration of rules is varied, these cellular automata go through eight phases, many of which with symmetries different from the two rules mixed in. The complex phase diagram so created is similar to those seen in frustrated systems in static equilibrium. It shows that a minimized free energy is not necessary for frustration to produce this rich behaviour.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects
68Q80 Cellular automata (See also 37B15)
82B26 Phase transitions (general)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 9 (7 May 1997)
Received 9 September 1996, in final form 6 December 1996
Normand Mousseau 1997 J. Phys. A: Math. Gen. 30 2995
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