Early time kinetics of systems with spatial symmetry breaking

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 4, 2009, Pages

  Dominguez, Rachele ^a   Barros, Kipton ^a   Klein, W ^a  

^a Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETIC ISING MODELS; CAHN HILLIARD COOKS; DIFFERENT TIME SCALE; FOURIER MODES; GENERALIZED THEORIES; INTERACTION RANGES; LINEAR COMBINATIONS; LINEAR THEORIES; NUMERICAL SIMULATIONS; SPATIAL SYMMETRIES; SYMMETRY-BREAKING; TIME-SCALE; UNSTABLE REGIONS; UNSTABLE STATE;

ANTIFERROMAGNETISM; ISING MODEL;

ORDER DISORDER TRANSITIONS;

EID: 65549086186     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.041121     Document Type: Article

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37. The ratio L/R gives the approximate number of stripes (or clumps along one dimension) in the system. We have tested many values of L/R and found that the early stage two kinetics is unaffected by this value. We did find that stage two lasts longer for larger values of L/R. At any value of L/R larger interaction ranges extend the lifetime of stage two. We do not deal with the creation of defects in systems with large L/R because the defects do not form until after stage two breaks down.
38. That the contribution from the noise term has the same time dependence as the noiseless term can be shown to be true in the case where B=const [from Eq. 2] but is complicated by further couplings for a spatially dependent B.