RIGOROUS BOUNDS FOR THE FREE-ENERGY OF THE SHORT-RANGE ISING SPIN-GLASS MODEL

被引:8
作者
KOUKIOU, F
机构
来源
EUROPHYSICS LETTERS | 1992年 / 17卷 / 8BIS期
关键词
PROBABILITY THEORY; STOCHASTIC PROCESSES; AND STATISTICS; GENERAL THEORY AND MODELS OF MAGNETIC ORDERING; STUDIES OF SPECIFIC MAGNETIC MATERIALS;
D O I
10.1209/0295-5075/17/8/001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the specific free energy of the short-range spin glass on a regular d-dimensional lattice. It can be rigorously proved that the quenched free energy remains strictly smaller than the annealed one at every positive temperature and every lattice dimension d.
引用
收藏
页码:669 / 671
页数:3
相关论文
共 8 条
  • [1] THEORY OF SPIN GLASSES
    EDWARDS, SF
    ANDERSON, PW
    [J]. JOURNAL OF PHYSICS F-METAL PHYSICS, 1975, 5 (05): : 965 - 974
  • [2] LOW-TEMPERATURE PHASE OF THE ISING SPIN-GLASS ON A HYPERCUBIC LATTICE
    GEORGES, A
    MEZARD, M
    YEDIDIA, JS
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (24) : 2937 - 2940
  • [3] Georgii H-O, 1988, GIBBS MEASURES PHASE
  • [4] KAHANE JP, 1987, CHINESE ANN MATH B, V8, P1
  • [5] KOUKIOU F, IN PRESS SOME RIGORO
  • [6] Varadhan S. R. S., COMMUNICATION
  • [7] THERMODYNAMICS OF QUENCHED RANDOM SPIN SYSTEMS, AND APPLICATION TO PROBLEM OF PHASE-TRANSITIONS IN MAGNETIC (SPIN) GLASSES
    VUILLERMOT, PA
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1977, 10 (08): : 1319 - 1333
  • [8] FLUCTUATIONS OF EXTENSIVE FUNCTIONS OF QUENCHED RANDOM COUPLINGS
    WEHR, J
    AIZENMAN, M
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (3-4) : 287 - 306