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

Thomas P Handford, Francisco J Pérez-Reche, Sergei N Taraskin

Research output: Contribution to journalArticle

4 Downloads (Pure)

Abstract

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.
Original languageEnglish
Article number022117
Number of pages12
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume88
Issue number2
DOIs
Publication statusPublished - 12 Aug 2013

Fingerprint

Bethe Lattice
Avalanche
Temperature Field
avalanches
Random Field
Ising model
Ising Model
Magnetization
Zero
magnetization
interlayers
Direct Simulation Monte Carlo
temperature
Correlation Length
Flip
Critical Behavior
Reversal
External Field
Disorder
Discontinuity

Keywords

  • cond-mat.stat-mech

Cite this

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

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 88, No. 2, 022117, 12.08.2013.

Research output: Contribution to journalArticle

@article{d7b1937b2e4b40aca5f0750c2fd83e77,
title = "Zero-temperature random-field Ising model on a bilayered Bethe lattice",
abstract = "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.",
keywords = "cond-mat.stat-mech",
author = "{P Handford}, Thomas and {J P{\'e}rez-Reche}, Francisco and {N Taraskin}, Sergei",
year = "2013",
month = "8",
day = "12",
doi = "10.1103/PhysRevE.88.022117",
language = "English",
volume = "88",
journal = "Physical Review. E, Statistical, Nonlinear and Soft Matter Physics",
issn = "1539-3755",
publisher = "AMER PHYSICAL SOC",
number = "2",

}

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 -