On the singularity of the free energy at a first order phase transition

被引:12
作者
Friedli, S [1 ]
Pfister, CE
机构
[1] Ecole Polytech Fed Lausanne, Inst Theorie Phenomenes Phys, CH-1015 Lausanne, Switzerland
[2] Ecole Polytech Fed Lausanne, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland
关键词
D O I
10.1007/s00220-003-1003-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
At first order phase transition the free energy does not have an analytic continuation in the thermodynamical variable, which is conjugate to an order parameter for the transition. This result is proved at low temperature for lattice models with finite range interaction and two periodic ground-states, under the only condition that they satisfy the Peierls condition.
引用
收藏
页码:69 / 103
页数:35
相关论文
共 7 条
[1]   THEORY OF CONDENSATION AND CRITICAL POINT [J].
FISHER, ME .
PHYSICS-NEW YORK, 1967, 3 (05) :255-&
[3]  
ISAKOV SN, 1987, TEOR MAT FIZ, V71, P426
[4]   ESSENTIAL SINGULARITY IN PERCOLATION PROBLEMS AND ASYMPTOTIC-BEHAVIOR OF CLUSTER SIZE DISTRIBUTION [J].
KUNZ, H ;
SOUILLARD, B .
JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :77-106
[5]  
PFISTER CE, 1991, HELV PHYS ACTA, V64, P953
[6]  
Sinai Ya. G., 1982, Theory of Phase Transitions
[7]   AN ALTERNATE VERSION OF PIROGOV-SINAI THEORY [J].
ZAHRADNIK, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 93 (04) :559-581