ANALYTICITY OF THE PARTITION-FUNCTION OF THE RANDOM ENERGY-MODEL

被引:5
作者
KOUKIOU, F
机构
[1] Dept. de Phys., Univ. de Cergy-Pontoise
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 23期
关键词
D O I
10.1088/0305-4470/26/23/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the random energy model with complex temperature. For beta lying in a suitable set the function Z(n)(beta)/EZ(n)(beta) is, at the thermodynamic limit, an analytic function of beta. Analytic properties of the high temperature free energy follow directly.
引用
收藏
页码:L1207 / L1210
页数:4
相关论文
共 10 条
[1]   UNIFORM-CONVERGENCE OF MARTINGALES IN THE BRANCHING RANDOM-WALK [J].
BIGGINS, JD .
ANNALS OF PROBABILITY, 1992, 20 (01) :137-151
[2]   LARGE DEVIATIONS FOR MULTIPLICATIVE CHAOS [J].
COLLET, P ;
KOUKIOU, F .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 147 (02) :329-342
[3]   THE ZEROS OF THE PARTITION-FUNCTION OF THE RANDOM ENERGY-MODEL [J].
DERRIDA, B .
PHYSICA A, 1991, 177 (1-3) :31-37
[4]   FLUCTUATIONS IN DERRIDA RANDOM ENERGY AND GENERALIZED RANDOM ENERGY MODELS [J].
GALVES, A ;
MARTINEZ, S ;
PICCO, P .
JOURNAL OF STATISTICAL PHYSICS, 1989, 54 (1-2) :515-529
[5]   A RANDOM COVERING INTERPRETATION FOR THE PHASE-TRANSITION OF THE RANDOM ENERGY-MODEL [J].
KOUKIOU, F .
JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) :669-674
[6]   RIGOROUS BOUNDS FOR THE FREE-ENERGY OF THE SHORT-RANGE ISING SPIN-GLASS MODEL [J].
KOUKIOU, F .
EUROPHYSICS LETTERS, 1992, 17 (8BIS) :669-671
[7]  
KOUKIOU F, 1992, PREPRINT CPT
[8]  
KOUKIOU F, 1993, IN PRESS J STAT PHYS
[9]   STATISTICAL THEORY OF EQUATIONS OF STATE AND PHASE TRANSITIONS .2. LATTICE GAS AND ISING MODEL [J].
LEE, TD ;
YANG, CN .
PHYSICAL REVIEW, 1952, 87 (03) :410-419
[10]   NUMERICAL COMPLEX ZEROS OF THE RANDOM ENERGY-MODEL [J].
MOUKARZEL, C ;
PARGA, N .
PHYSICA A, 1991, 177 (1-3) :24-30