FINITE-SIZE EFFECTS AT ASYMMETRIC 1ST-ORDER PHASE-TRANSITIONS

被引:140
作者
BORGS, C
KOTECKY, R
机构
[1] CHARLES UNIV, DEPT MATH PHYS, PRAGUE 8, CZECHOSLOVAKIA
[2] CHARLES UNIV, CTR THEORET STUDIES, PRAGUE 1, CZECHOSLOVAKIA
关键词
D O I
10.1103/PhysRevLett.68.1734
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a rigorous description of finite-size effects for a large class of models with an asymmetric first-order transition, assuming that all phases contributing to the transition have a finite correlation length. If the model describes the coexistence of two phases, it is shown that, at sufficiently low temperatures, the shift of the transition point due to finite-size effects in a volume L(d) with periodic boundary conditions is O(L-2d), in contrast to certain claims in the literature. We also discuss different ways to determine the transition point from finite-size data, which involve only exponentially small systematic errors in L.
引用
收藏
页码:1734 / 1737
页数:4
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