### Abstract

Original language | English |
---|---|

Article number | 022117 |

Number of pages | 12 |

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

Volume | 88 |

Issue number | 2 |

DOIs | |

Publication status | Published - 12 Aug 2013 |

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### Keywords

- cond-mat.stat-mech

### Cite this

*Physical Review. E, Statistical, Nonlinear and Soft Matter Physics*,

*88*(2), [022117]. https://doi.org/10.1103/PhysRevE.88.022117

**Zero-temperature random-field Ising model on a bilayered Bethe lattice.** / P Handford, Thomas; J Pérez-Reche, Francisco; N Taraskin, Sergei.

Research output: Contribution to journal › Article

*Physical Review. E, Statistical, Nonlinear and Soft Matter Physics*, vol. 88, no. 2, 022117. https://doi.org/10.1103/PhysRevE.88.022117

}

TY - JOUR

T1 - Zero-temperature random-field Ising model on a bilayered Bethe lattice

AU - P Handford, Thomas

AU - J Pérez-Reche, Francisco

AU - N Taraskin, Sergei

PY - 2013/8/12

Y1 - 2013/8/12

N2 - The zero-temperature random-field Ising model is solved analytically for magnetization versus external field for a bilayered Bethe lattice. The mechanisms of infinite avalanches which are observed for small values of disorder are established. The effects of variable interlayer interaction strengths on infinite avalanches are investigated. The spin-field correlation length is calculated and its critical behavior is discussed. Direct Monte Carlo simulations of spin-flip dynamics are shown to support the analytical findings. We find, paradoxically, that a reduction of the interlayer bond strength can cause a phase transition from a regime with continuous magnetization reversal to a regime where magnetization exhibits a discontinuity associated with an infinite avalanche. This effect is understood in terms of the proposed mechanisms for the infinite avalanche.

AB - The zero-temperature random-field Ising model is solved analytically for magnetization versus external field for a bilayered Bethe lattice. The mechanisms of infinite avalanches which are observed for small values of disorder are established. The effects of variable interlayer interaction strengths on infinite avalanches are investigated. The spin-field correlation length is calculated and its critical behavior is discussed. Direct Monte Carlo simulations of spin-flip dynamics are shown to support the analytical findings. We find, paradoxically, that a reduction of the interlayer bond strength can cause a phase transition from a regime with continuous magnetization reversal to a regime where magnetization exhibits a discontinuity associated with an infinite avalanche. This effect is understood in terms of the proposed mechanisms for the infinite avalanche.

KW - cond-mat.stat-mech

U2 - 10.1103/PhysRevE.88.022117

DO - 10.1103/PhysRevE.88.022117

M3 - Article

VL - 88

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 2

M1 - 022117

ER -