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CPM Seminar
Andrew Rutenberg
Department of Physics Non-equilibrium coarsening of binary alloys, polymer blends, and soap froths can be characterized by the evolution of correlation and autocorrelation functions. The power-law growth of length scale is one such characteristic. The decay of autocorrelations and of the persistence of local phases are others. In the dilute limit of phase-ordering after quenches to T<T_c, with a conserved order-parameter, we derive exact expressions for the autocorrelation exponent l and the persistence exponent t, as well as the corresponding amplitudes, for dimensions d<=2. We also derive l and t for a globally conserved order parameter in the small volume fraction limit, also for d<=2, and relate these results to the q going to infinity-state Potts model and to soap froths.
Thursday, October 9th, 15:30 |