Ising ferromagnet: Zero-temperature dynamic evolution

P. M C De Oliveira, Charles Newman, V. Sidoravicious, D. L. Stein

Research output: Contribution to journalArticle

Abstract

The dynamic evolution at zero temperature of a uniform Ising ferromagnet on a square lattice is followed by Monte Carlo computer simulations. The system always eventually reaches a final, absorbing state, which sometimes coincides with a ground state (all spins parallel), and sometimes does not (parallel stripes of spins up and down). We initiate here the numerical study of 'chaotic time dependence' (CTD) by seeing how much information about the final state is predictable from the randomly generated quenched initial state. CTD was originally proposed to explain how nonequilibrium spin glasses could manifest an equilibrium pure state structure, but in simpler systems such as homogeneous ferromagnets it is closely related to long-term predictability and our results suggest that CTD might indeed occur in the infinite volume limit.

Original languageEnglish (US)
Pages (from-to)6841-6849
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number22
DOIs
StatePublished - Jun 2 2006

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Spin glass
Ferromagnet
Time Dependence
Ising
Ground state
time dependence
Computer simulation
Zero
Pure State
Predictability
Spin Glass
Square Lattice
Absorbing
spin glass
Temperature
Non-equilibrium
Ground State
temperature
Numerical Study
Computer Simulation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Ising ferromagnet : Zero-temperature dynamic evolution. / De Oliveira, P. M C; Newman, Charles; Sidoravicious, V.; Stein, D. L.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 22, 02.06.2006, p. 6841-6849.

Research output: Contribution to journalArticle

De Oliveira, P. M C ; Newman, Charles ; Sidoravicious, V. ; Stein, D. L. / Ising ferromagnet : Zero-temperature dynamic evolution. In: Journal of Physics A: Mathematical and General. 2006 ; Vol. 39, No. 22. pp. 6841-6849.
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