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Physica A Statistical Mechanics and its Applications

Damage spreading in a ferromagnetic cubic Ising system as a function of temperature and magnetic field

G. Le Caër

Published Sep 1, 1989• 32 citations
Publisher
DOI
10.1016/0378-4371(89)90401-9

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The time evolution of two ferromagnetic Ising cubic systems, which differ by the orientation of a single spin at t=0, has been studied in a magnetic field B by computer simulation. The critical field B c (T), above which the previous initial damage does not spread, has been determined. The magnetisation for B=B c is very well approximated by M(B c )=1-exp(-T c /T) in the range of T values investigated. The concentration of minority spins at B c (T) differs strongly from the corresponding concentration for percolation at T.

Journal of Physics A Mathematical and General•Jul 7, 1989•41 citations
The time evolution of two ferromagnetic Ising cubic systems, which differ by the orientation of a single spin at t=0, has been studied in a magnetic field B by computer simulation. The critical field B c (T), above which the previous initial damage does not spread, has been determined. The magnetisation for B=B c is very well approximated by M(B c )=1-exp(-T c /T) in the range of T values investigated. The concentration of minority spins at B c (T) differs strongly from the corresponding concentration for percolation at T.