Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
Arous, Gerard Ben ; Dembo, Amir ; Guionnet, Alice
HAL, hal-00010069 / Harvested from HAL
Text on HAL
We study the Langevin dynamics for the family of spherical $p$-spin disordered mean-field models and prove that in the limit of system size $N$ approaching infinity, the empirical state correlation and integrated response functions converge almost surely and uniformly in time, to the non-random unique strong solution of a pair of explicit non-linear integro-differential equations introduced by Cugliandolo and Kurchan.
Publié le : 2004-07-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 
@article{hal-00010069,
     author = {Arous, Gerard Ben and Dembo, Amir and Guionnet, Alice},
     title = {Cugliandolo-Kurchan equations for dynamics of Spin-Glasses},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00010069}
}

Arous, Gerard Ben; Dembo, Amir; Guionnet, Alice. Cugliandolo-Kurchan equations for dynamics of Spin-Glasses. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00010069/