Surfing on a critical line: Rejuvenation without chaos, memory without a hierarchical phase space
Laboratoire de Physique, ENS-Lyon and CNRS - 46 Allée
d'Italie, 69007 Lyon, France
Accepted: 18 January 2002
The dynamic behaviour of glassy materials displays strong nonequilibrium effects, such as ageing in simple protocols, memory, rejuvenation and Kovacs effects in more elaborated experiments. We show that this phenomenology may be easily understood in the context of the nonequilibrium critical dynamics of nondisordered systems, the main ingredient being the existence of an infinite equilibrium correlation length. As an example, we analytically investigate the behaviour of the 2D XY model submitted to temperature protocols similar to experiments. This shows that typical glassy effects may be obtained by “surfing on a critical line” without invoking the concept of temperature chaos nor the existence of a hierarchical phase space, as opposed to previous theoretical approaches. The relevance of this phenomenological approach to glassy dynamics is finally discussed.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, 2002