ANALYTICAL SOLUTION OF THE OFF-EQUILIBRIUM DYNAMICS OF A LONG-RANGE SPIN-GLASS MODEL

被引:827
作者
CUGLIANDOLO, LF [1 ]
KURCHAN, J [1 ]
机构
[1] NATL INST NUCL PHYS,SEZ ROMA 1,ROME,ITALY
关键词
D O I
10.1103/PhysRevLett.71.173
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the nonequilibrium relaxation of the spherical spin-glass model with p-spin interactions in the N --> infinity limit. We analytically solve the asymptotics of the magnetization and the correlation and response functions for long but finite times. Even in the thermodynamic limit the system exhibits ''weak'' (as well as ''true'') ergodicity breaking and aging effects. We determine a functional Parisi-like order parameter P(d)(q) which plays a similar role for the dynamics to that played by the usual function for the statics.
引用
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页码:173 / 176
页数:4
相关论文
共 18 条
[1]   SPIN-GLASS DYNAMICS FROM MAGNETIC NOISE, RELAXATION, AND SUSCEPTIBILITY MEASUREMENTS [J].
ALBA, M ;
HAMMANN, J ;
OCIO, M ;
REFREGIER, P ;
BOUCHIAT, H .
JOURNAL OF APPLIED PHYSICS, 1987, 61 (08) :3683-3688
[2]   MONTE-CARLO STUDIES OF ISING SPIN-GLASS SYSTEMS - AGING BEHAVIOR AND CROSSOVER BETWEEN EQUILIBRIUM AND NONEQUILIBRIUM DYNAMICS [J].
ANDERSSON, JO ;
MATTSSON, J ;
SVEDLINDH, P .
PHYSICAL REVIEW B, 1992, 46 (13) :8297-8304
[3]  
BOUCHAUD JP, 1992, J PHYS I, V2, P1705, DOI 10.1051/jp1:1992238
[4]   EVIDENCE FOR MASSLESS MODES IN THE SOLVABLE MODEL OF A SPIN GLASS [J].
BRAY, AJ ;
MOORE, MA .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (11) :L441-L448
[5]   THE SPHERICAL P-SPIN INTERACTION SPIN-GLASS MODEL - THE STATICS [J].
CRISANTI, A ;
SOMMERS, HJ .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1992, 87 (03) :341-354
[6]  
CRISANTI A, IN PRESS
[7]  
CUGLIANDOLO LF, IN PRESS
[8]   NEW METHOD FOR STUDYING THE DYNAMICS OF DISORDERED SPIN SYSTEMS WITHOUT FINITE-SIZE EFFECTS [J].
EISSFELLER, H ;
OPPER, M .
PHYSICAL REVIEW LETTERS, 1992, 68 (13) :2094-2097
[9]  
FRANZ S, COMMUNICATION
[10]   P-SPIN-INTERACTION SPIN-GLASS MODELS - CONNECTIONS WITH THE STRUCTURAL GLASS PROBLEM [J].
KIRKPATRICK, TR ;
THIRUMALAI, D .
PHYSICAL REVIEW B, 1987, 36 (10) :5388-5397