Non trivial behavior of the linear response function in phase ordering kinetics

Abstract

Drawing from exact, approximate and numerical results an overview of the properties of the out of equilibrium response function in phase ordering kinetics is presented. Focusing on the zero field cooled magnetization, emphasis is on those features of this quantity which display non trivial behavior when relaxation proceeds by coarsening. Prominent among these is the dimensionality dependence of the scaling exponent $a_{\chi }$ which leads to failure of the connection between static and dynamic properties at the lower dimensionality $d_L$, where $a_{\chi }=0$. We also analyse the mean spherical model as an explicit example of a stochastic unstable system, for which the connection between statics and dynamics fails at all dimensionalities.

10 pages, 2 figures. Contribution to the International Conference "Perspectives on Quantum Field Theory, Statistical Mechanics and Stochastics" in honour of the 60th birthday of Francesco Guerra

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Cited by in corpus (3)

• Coarsening in inhomogeneous systems
• Scaling in the Aging Dynamics of the Site-diluted Ising Model
• The role of initial state and final quench temperature on the aging properties in phase-ordering kinetics