6533b857fe1ef96bd12b3afd
RESEARCH PRODUCT
The crossover from first to second-order finite-size scaling: a numerical study
Stefan KapplerChristian BorgsPaul E.l. Rakowsubject
Phase transitionField (physics)Critical phenomenaNumerical analysisGeneral EngineeringSpin modelStatistical and Nonlinear PhysicsIsing modelStatistical physicsScalingSymmetry (physics)General Theoretical PhysicsMathematicsdescription
We consider a particular case of the two dimensional Blume-Emery-Griffiths model to study the finite-size scaling for a field driven first-order phase transition with two coexisting phases not related by a symmetry. For low temperatures we verify the asymptotic (large volume) predictions of the rigorous theory of Borgs and Kotecky. Near the critical temperature we show that all data fit onto a unique curve, even when the correlation length ξ becomes comparable to or larger than the size of the system, provided the linear dimension L of the system is rescaled by ξ
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-07-01 |