Short-range Ising spin glass: Multifractal properties

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.3934· OSTI ID:560673

Nogueira, E Jr ^[1]; Coutinho, S ^[2]; Nobre, F D ^[1]; Curado, E M ^[3]; de Almeida, J R ^[4]

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1. Departamento de Fisica, Universidade Federal do Rio Grande do Norte, Caixa Postal 1641, 59072-970 Natal, Rio Grande do Norte (Brazil)
2. Laboratorio de Fisica Teorica e Computacional, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco (Brazil)
3. Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Siguad 150, 222290-180 Rio de Janeiro, Rio de Janeiro (Brazil)
4. Departamento de Fisica, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco (Brazil)

The multifractal properties of the Edwards-Anderson order parameter of the short-range Ising spin-glass model on d=3 diamond hierarchical lattices are studied via an exact recursion procedure. The profiles of the local order parameter are calculated and analyzed within a range of temperatures close to the critical point with four symmetric distributions of the coupling constants (Gaussian, bimodal, uniform, and exponential). Unlike the pure case, the multifractal analysis of these profiles reveals that a large spectrum of the {alpha} H{umlt o}lder exponent is required to describe the singularities of the measure defined by the normalized local order parameter, at and below the critical point. Minor changes in these spectra are observed for distinct initial distributions of coupling constants, suggesting a {ital universal} spectra behavior. For temperatures slightly above T{sub c}, a dramatic change in the F({alpha}) function is found, signaling the transition. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 560673
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 55; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING CONSTANTS
CRITICAL TEMPERATURE
FERROMAGNETISM
FRACTALS
ISING MODEL
MAGNETIZATION
ORDER PARAMETERS
PHASE TRANSFORMATIONS
SPIN GLASS STATE