### 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 language | English (US) |
---|---|

Pages (from-to) | 6841-6849 |

Number of pages | 9 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 39 |

Issue number | 22 |

DOIs | |

State | Published - Jun 2 2006 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: Mathematical and General*,

*39*(22), 6841-6849. https://doi.org/10.1088/0305-4470/39/22/002

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

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 39, no. 22, pp. 6841-6849. https://doi.org/10.1088/0305-4470/39/22/002

}

TY - JOUR

T1 - Ising ferromagnet

T2 - Zero-temperature dynamic evolution

AU - De Oliveira, P. M C

AU - Newman, Charles

AU - Sidoravicious, V.

AU - Stein, D. L.

PY - 2006/6/2

Y1 - 2006/6/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33646878994&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646878994&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/39/22/002

DO - 10.1088/0305-4470/39/22/002

M3 - Article

AN - SCOPUS:33646878994

VL - 39

SP - 6841

EP - 6849

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 22

ER -