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- Title
Short-Time Critical Behavior of the Ginzburg–Landau Model with Quenched Disorder.
- Authors
Li, Z. B.; Chen, Y.; Guo, S. H.
- Abstract
The theoretic renormalization-group approach is applied to the study of short-time dynamics of the d-dimensional n-component spin systems with long-range interactions r[sup -(d + σ) and quenched disorder which has long-range correlations r[sup -(d-p). Asymptotic scaling laws are obtained in a frame of double expansions in ∈ = 2σ - d and p with p of the order e. The static exponents are obtained exactly to all the order. The initial slip exponents θ' for the order parameter and θ for the response function, as well as the dynamic exponent z, are calculated upto the first order in ∈. In d = 2σ, in contrast to the unique logarithmic decay in the long-time regime which does not depend on &sigma, ρ, n and the disorder, we find rich scaling structures including logarithmic and exponential-logarithmic scalings in the short-time regime. Non-universal critical scalings of Ising systems are also discussed for d = 2σ.
- Subjects
DYNAMICS; SPIN waves
- Publication
Modern Physics Letters B, 2001, Vol 15, Issue 2, p43
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984901001409