6533b7d3fe1ef96bd125feb6
RESEARCH PRODUCT
HIGH-PRECISION MONTE CARLO DETERMINATION OF α/ν IN THE 3D CLASSICAL HEISENBERG MODEL
Wolfhard JankeChristian Holmsubject
CouplingField (physics)Monte Carlo methodGeneral Physics and AstronomyStatistical and Nonlinear PhysicsClassical Heisenberg modelComputer Science ApplicationsTopological defectComputational Theory and MathematicsDynamic Monte Carlo methodExponentStatistical physicsScalingMathematical PhysicsMathematicsdescription
To study the role of topological defects in the three-dimensional classical Heisenberg model we have simulated this model on simple cubic lattices of size up to 803, using the single-cluster Monte Carlo update. Analysing the specific-heat data of these simulations, we obtain a very accurate estimate for the ratio of the specific-heat exponent with the correlation-length exponent, α/ν, from a usual finite-size scaling analysis at the critical coupling Kc. Moreover, by fitting the energy at Kc, we reduce the error estimates by another factor of two, and get a value of α/ν, which is comparable in accuracy to best field theoretic estimates.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-04-01 | International Journal of Modern Physics C |