Ageing, dynamical scaling and conformal invariance

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Latex2e, 12 pages, 3 figures. Talk given at TH2002, Paris July 2002

Scientific paper

10.1142/S0217751X04018440

Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space-time symmetries of certain non-local free field theories. The scaling form of two-point functions is completely fixed by the requirement of local scale invariance. These predictions are confirmed through tests in the 3D ANNNI model at its Lifshitz point and in ageing phenomena of simple ferromagnets, here studied through the kinetic Ising model with Glauber dynamics.

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