Spontaneous relaxation in generalized oscillator models with glassy dynamics
| dc.creator | Ritort, F. | |
| dc.date | 2004-12-23 | |
| dc.date.accessioned | 2026-07-07T03:02:54Z | |
| dc.date.available | 2026-07-07T03:02:54Z | |
| dc.description | In this paper we introduce the generalized oscillator model (GOM) as a family of exactly solvable models useful to investigate theoretical aspects related to the statistical description of the aging state. GOMs are defined by a potential function V(x) and characterized by a zero-temperature relaxation determined by entropy barriers and partial equilibration. Analytic expressions for the effective temperature can be derived using a fluctuation theorem valid in the aging regime without the need to solve the dynamical equations for correlations and responses. Two classes of models are investigated in detail: the homogeneous potential model with V(x)=(k/2p)x^{2p} (p being a positive integer) and the wedge potential model (V(x)=k|x|) where V(x) has a singularity at the ground state coordinate x=0. For the latter, we present some numerical simulations that reinforce the validity of the main analytical results. GOMs offer a conceptual framework to develop a statistical description of the spontaneous relaxation process that has been recently proposed to be at the root of the intermittency phenomenon observed in glasses and colloids. | |
| dc.description | Latex file, 21 pages, Contribution to the special issue 'Hans C. Andersen Festschrift' | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0412650 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0412650 | |
| dc.identifier | J. Phys. Chem. B (2004) 108, 6893-6900 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25567 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Spontaneous relaxation in generalized oscillator models with glassy dynamics | |
| dc.type | text |