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On–off intermittency and attractor bubbling in the Ising‐like cellular automaton with temperature random in time
Author(s) -
Stępień L.,
Krawiecki A.,
Kosiński R. A.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301709
Subject(s) - intermittency , ising model , physics , magnetization , spins , cellular automaton , statistical physics , attractor , ferromagnetism , paramagnetism , condensed matter physics , magnetic field , mathematics , quantum mechanics , thermodynamics , mathematical analysis , algorithm , turbulence
The Ising‐like cellular automaton with global ferromagnetic coupling and parallel thermal bath dynamics is considered, with uniform in space temperature varying randomly in time in the neighbourhood of the critical point. The system is studied both by numerical simulations with a large number of spins, and analytically in the mean field approximation. The time series of magnetisation show a sequence of laminar phases during which the magnetisation is close to zero, corresponding to paramagnetic phase, and large bursts with non‐zero magnetisation, corresponding to abrupt occurrence of ordered phase. It is shown that this behaviour is an example of on‐off intermittency and attractor bubbling, which appear as collective phenomena due to interaction of a large number of spins subject to random temperature.