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

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

2003-10-29

arxiv.org/abs/cond-mat/0310701v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures. Contribution to the International Conference "Perspectives on Quantum Field Theory, Statistical Mechanics

Scientific paper

10.1142/S0217979204024215

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.

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