6533b839fe1ef96bd12a59d1
RESEARCH PRODUCT
Dynamics of Ising spin glasses far below the lower critical dimension: The one-dimensional case and small clusters
J. D. RegerKurt Bindersubject
PhysicsSpin glassSpinsOperator (physics)Monte Carlo methodExtrapolationGeneral Materials ScienceIsing modelStatistical physicsCondensed Matter PhysicsGlauberMagnetic susceptibilityElectronic Optical and Magnetic Materialsdescription
The Glauber model is studied for symmetric distributions (±J and gaussian) of the nearest-neighbour interactionJ, including a magnetic field. For small clusters of spins (closed rings ofN bonds, withN≦7) the complex magnetic susceptibility χ(ω) and the time-dependent remanent magnetizationm(t) are found exactly for given bond configurations {Jij} by diagonalization of the Liouville operator; apart from the ±J model, the average over {Jij} must be done numerically by simple random sampling Monte Carlo. Nevertheless our accuracy is much better than corresponding dynamic Monte Carlo simulations, even if one considers the extrapolation toN→∞.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1985-06-01 | Zeitschrift f�r Physik B Condensed Matter |