A New method to determine first order transition points from finite size data
May 28, 199112 pages
Published in:
- Phys.Rev.Lett. 68 (1992) 1738-1741
Report number:
- FUB-HEP-6-91
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Abstract: (APS)
We consider a temperature-driven first-order phase transition describing the coexistence of q ordered low-temperature phases and one disordered high-temperature phase at the infinite-volume transition temperature T0. Analyzing the exponential corrections to the periodic partition function in a box of volume V, Zper=tsumm exp(-βfmV), where fm is the (metastable) free energy of the phase m, we propose several definitions of a finite-volume transition temperature T0(V) which involve only exponential corrections with respect to T0. We test our propositions in the d=2 Potts model for q=5, 8, and 10 by means of Monte Carlo simulations, using the single-cluster update procedure.References(15)
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