Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass - Archive ouverte HAL Access content directly
Journal Articles Biophysical Reviews and Letters Year : 2014

Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass

(1) , (1)
1

Abstract

The long-range one-dimensional Ising spin-glass with random couplings decaying as J(r) ∝ r −σ presents a spin-glass phase Tc(σ) > 0 for 0 ≤ σ < 1 (the limit σ = 0 corresponds to the mean-field SK-model). We use the eigenvalue method introduced in our previous work [C. Monthus and T. Garel, J. Stat. Mech. P12017 (2009)] to measure the equilibrium time teq(N) at temperature T = Tc(σ)/2 as a function of the number N of spins. We find the activated scaling ln teq(N) ∼ N ψ with the same barrier exponent ψ ≃ 0.33 in the whole region 0 ≤ σ < 1.
Fichier principal
Vignette du fichier
1309.2154v3.pdf (213 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01323412 , version 1 (30-05-2016)

Identifiers

Cite

Cécile Monthus, Thomas Garel. Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass. Biophysical Reviews and Letters, 2014, 89, pp.014408 ⟨10.1103/PhysRevB.89.014408⟩. ⟨cea-01323412⟩
13 View
77 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More