### Abstract

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is generally the same due to self-duality. Here we consider a sudden change in the form of the interaction and study the nonequilibrium critical dynamical properties of the nearest-neighbor model. The relaxation of the magnetization and the decay of the autocorrelation function are found to display a power law behavior with characteristic exponents that depend on the universality class of the initial state.

Original language | English |
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Article number | 011127 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 77 |

Issue number | 1 |

DOIs | |

Publication status | Published - jan. 30 2008 |

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### ASJC Scopus subject areas

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

### Cite this

**Nonequilibrium critical dynamics of the two-dimensional Ising model quenched from a correlated initial state.** / Környei, László; Pleimling, Michel; Iglói, F.

Research output: Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 77, no. 1, 011127. https://doi.org/10.1103/PhysRevE.77.011127

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TY - JOUR

T1 - Nonequilibrium critical dynamics of the two-dimensional Ising model quenched from a correlated initial state

AU - Környei, László

AU - Pleimling, Michel

AU - Iglói, F.

PY - 2008/1/30

Y1 - 2008/1/30

N2 - The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is generally the same due to self-duality. Here we consider a sudden change in the form of the interaction and study the nonequilibrium critical dynamical properties of the nearest-neighbor model. The relaxation of the magnetization and the decay of the autocorrelation function are found to display a power law behavior with characteristic exponents that depend on the universality class of the initial state.

AB - The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is generally the same due to self-duality. Here we consider a sudden change in the form of the interaction and study the nonequilibrium critical dynamical properties of the nearest-neighbor model. The relaxation of the magnetization and the decay of the autocorrelation function are found to display a power law behavior with characteristic exponents that depend on the universality class of the initial state.

UR - http://www.scopus.com/inward/record.url?scp=38849090656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38849090656&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.77.011127

DO - 10.1103/PhysRevE.77.011127

M3 - Article

AN - SCOPUS:38849090656

VL - 77

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 1

M1 - 011127

ER -