Thomas Vojta 1997 J. Phys. A: Math. Gen. 30 L7 doi:10.1088/0305-4470/30/1/002
Thomas Vojta
Show affiliationsWe investigate how the time evolution of different kinetic Ising models depends on the initial conditions of the dynamics. To this end we consider the simultaneous evolution of two identical systems subjected to the same thermal noise. We derive a master equation for the time evolution of a joint probability distribution of the two systems. This equation is then solved within an effective-field approach. By analysing the fixed points of the master equation and their stability we identify regular and chaotic phases.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
60Exx Distribution theory (See also 62Exx, 62Hxx)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 1 (7 January 1997)
Received 24 September 1996, in final form 10 November 1996
Thomas Vojta 1997 J. Phys. A: Math. Gen. 30 L7
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