Ageing properties of critical systems
By Pasquale Calabrese, A. Gambassi. 2004
155 citations recorded by the source corpus.
In the past few years, systems with slow dynamics have attracted considerable theoretical and experimental interest. Ageing phenomena are observed during this everlasting non-equilibrium evolution. A simple instance of such a behaviour is provided by the dynamics that takes place when a system is quenched from its high-temperature phase to the critical point. The aim of this review is to summarize the various numerical and analytical results that have been recently obtained for this case. Particular emphasis is put on the field-theoretical methods that can be used to provide analytical predictions for the relevant dynamical quantities. Fluctuation–dissipation relations are discussed and in particular the concept of fluctuation–dissipation ratio (FDR) is reviewed, emphasizing its connection with the definition of a possible effective temperature. The renormalization-group approach to critical dynamics is summarized and the scaling forms of the time-dependent non-equilibrium correlation and response functions of a generic observable are discussed. From them, the universality of the associated FDR follows as an amplitude ratio. It is then possible to provide predictions for ageing quantities in a variety of different models. In particular, the results for models A, B and C dynamics of the O(N) Ginzburg–Landau Hamiltonian, and model A dynamics of the weakly dilute Ising magnet and of the 3 theory are reviewed and compared with the available numerical results and exact solutions. The effect of a planar surface on the ageing behaviour of model A dynamics is also addressed within the mean-field approximation.
Subfields: Condensed Matter Physics, Materials Chemistry, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/74b3ee3c1402afe761a51835559766b534567ef1
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In Condensed Matter Physics
In Materials Chemistry
In Statistical and Nonlinear Physics
Citations in the corpus
- An update on the nonequilibrium linear response (2012, background): “For example, the interest in ageing and glassy dynamics has greatly stimulated the search for modified fluctuation–dissipation relations [71].”
- The effective temperature (2011, background): “A thorough review of the properties of X∞ found with the perturbative field-theoretical approach and some exact solutions to simple models, as well as the comparison to numerical estimates, is given in [12].”