Phase-ordering kinetics on graphs

Details Phase-ordering kinetics on graphs Phase-ordering kinetics on graphs

2007-02-06

arxiv.org/abs/cond-mat/0702120v1

Phys. Rev. E 75, 011113 (2007)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 35 figures

Scientific paper

10.1103/PhysRevE.75.011113

We study numerically the phase-ordering kinetics following a temperature quench of the Ising model with single spin flip dynamics on a class of graphs, including geometrical fractals and random fractals, such as the percolation cluster. For each structure we discuss the scaling properties and compute the dynamical exponents. We show that the exponent $a_\chi$ for the integrated response function, at variance with all the other exponents, is independent on temperature and on the presence of pinning. This universal character suggests a strict relation between $a_\chi$ and the topological properties of the networks, in analogy to what observed on regular lattices.

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