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Phase-ordering of conserved vectorial systems with field-dependent mobility

Federico Corberi·Claudio Castellano
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Abstract

The dynamics of phase-separation in conserved systems with an O(N) continuous symmetry is investigated in the presence of an order parameter dependent mobility M(ϕ)=1-a ϕ^2. The model is studied analytically in the framework of the large-N approximation and by numerical simulations of the N=2, N=3 and N=4 cases in d=2, for both critical and off-critical quenches. We show the existence of a new universality class for a=1 characterized by a growth law of the typical length L(t) ~ t^{1/z} with dynamical exponent z=6 as opposed to the usual value z=4 which is recovered for a<1.

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Federico Corberi, Claudio Castellano. 1998-07-02. Phase-ordering of conserved vectorial systems with field-dependent mobility. https://doi.org/10.1103/physreve.58.4658

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