Internal field distributions in model spin glasses

1979/07/01 by R. G. Palmer, Caroline Morgan Pond · 4 citations
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #Topological and Geometric Data Analysis

paper · doi:10.1088/0305-4608/9/7/024

openalex publication_date 1979/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The zero temperature probability distribution P(h) of internal magnetic fields is studied, both in the Sherrington-Kirkpatrick random Ising model of a spin glass and in its natural extension to classical vector spins. Theoretical predictions and computer simulations agree that P(h) is linear for small h in the Ising case, and has a hole-P(h)=0 for h< eta -in the vector spin case.

Citations

• Solution of 'Solvable model of a spin glass'
• The replica method and solvable spin glass model

Cited by

• Scaling and Renormalization Group in Replica-Symmetry-Breaking Space: Evidence for a Simple Analytical Solution of the Sherrington-Kirkpatrick Model at Zero Temperature
• Magnetic properties of a model spin glass and the failure of linear response theory
• An eigenvalue method for computing the largest relaxation time of disordered systems
• Richard G. Palmer [wikipedia]