Abstract
We study the phase-ordering kinetics following a temperature quench of continuous symmetry models with and 4 on graphs. By means of extensive simulations, we show that the global pattern ofscaling behaviours is analogous to the one found on usual lattices. The exponentaχ for the integrated response function and the exponentz, describing the growing length, are related to the large scale topology of the networksthrough the spectral dimension and the fractal dimension alone, by means of the sameexpressions as are provided by the analytic solution of the limit. This suggests that the largeN value of these exponents could be exact for every .
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More From: Journal of Statistical Mechanics: Theory and Experiment
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