TY - JOUR
T1 - Breakdown of scale invariance in the phase ordering of fractal clusters
AU - Conti, Massimo
AU - Meerson, Baruch
AU - Sasorov, Pavel V.
PY - 1998
Y1 - 1998
N2 - Numerical simulations with the Cahn-Hilliard equation show that coarsening of fractal clusters (FCs) is not a scale-invariant process. On the other hand, a typical coarsening length scale and interfacial area of the FC exhibit power laws in time, while the mass fractal dimension remains invariant. The initial value of the lower cutoff is a relevant length scale. A sharp-interface model is formulated that can follow the whole dynamics of a diffusion controlled growth, coarsening, fragmentation, and approach to equilibrium in a system with conserved order parameter.
AB - Numerical simulations with the Cahn-Hilliard equation show that coarsening of fractal clusters (FCs) is not a scale-invariant process. On the other hand, a typical coarsening length scale and interfacial area of the FC exhibit power laws in time, while the mass fractal dimension remains invariant. The initial value of the lower cutoff is a relevant length scale. A sharp-interface model is formulated that can follow the whole dynamics of a diffusion controlled growth, coarsening, fragmentation, and approach to equilibrium in a system with conserved order parameter.
UR - http://www.scopus.com/inward/record.url?scp=0000486514&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.80.4693
DO - 10.1103/PhysRevLett.80.4693
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AN - SCOPUS:0000486514
SN - 0031-9007
VL - 80
SP - 4693
EP - 4696
JO - Physical Review Letters
JF - Physical Review Letters
IS - 21
ER -