Small Perturbations of a Spin Glass System

被引：3

作者：

Arguin, Louis-Pierre ^{[1
]}

Kistler, Nicola ^{[2
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2009年 / 135卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

Mean field spin glasses; Extreme value theory; Parisi theory; Ultrametricity; STABILITY;

D O I：

10.1007/s10955-009-9694-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show through a simple example that perturbations of the Hamiltonian of a spin glass which cannot be detected at the level of the free energy can completely alter the behavior of the overlap. In particular, perturbations of order O(log N), with N -> a the size of the system, suffice to have ultrametricity emerge in the thermodynamical limit.

引用

页码：1167 / 1180

页数：14

共 50 条

[1] Small Perturbations of a Spin Glass System
Louis-Pierre Arguin
Nicola Kistler
Journal of Statistical Physics, 2009, 135 : 1167 - 1180
[2] Stability of the spin glass phase under perturbations
Contucci, P.
Giardina, C.
Giberti, C.
EPL, 2011, 96 (01)
[3] RESPONSE OF A COUPLED SPIN SYSTEM TO EXTERNAL PERTURBATIONS
PERIC, M
DULCIC, A
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (15): : L507 - L512
[4] An Electrodynamic System Manipulation by Small Controlled Perturbations
Zeyde, K. M.
Vardugina, A. Yu
PHYSICS, TECHNOLOGIES AND INNOVATION (PTI-2019), 2019, 2174
[5] ISING SPIN-GLASS ON A LATTICE WITH SMALL LOOPS
GOLDSCHMIDT, YY
LAI, PY
EUROPHYSICS LETTERS, 1991, 16 (02): : 143 - 148
[6] Replica symmetry breaking in the 'small world' spin glass
Wemmenhove, B
Nikoletopoulos, T
Hatchett, JPL
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, : 149 - 163
[7] On small perturbations of a nonlinear periodic system with degenerate equilibrium
Lu, Xuezhu
Xu, Junxiang
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (03): : 361 - 370
[8] SMALL PERIODIC PERTURBATIONS OF AN AUTONOMOUS SYSTEM WITH A STABLE ORBIT
LEVINSON, N
ANNALS OF MATHEMATICS, 1950, 52 (03) : 727 - 738
[9] On small perturbations of a nonlinear periodic system with degenerate equilibrium
Xuezhu Lu
Junxiang Xu
Nonlinear Differential Equations and Applications NoDEA, 2014, 21 : 361 - 370
[10] AMORPHOUS MNSI - CONCENTRATED SPIN GLASS SYSTEM
HAUSER, JJ
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1979, 24 (03): : 333 - 334

← 1 2 3 4 5 →