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Название: Derivation of a Hydrodynamic Equation for Ginzburg-Landau Models in an External Field
Авторы: Fritz J., Maes C.
Аннотация:
Journal of Statistical Physics, Vol. 53, Nos. 5/6, 1988. p. 1179-1206.
The lattice approximation to a time-dependent Ginzburg-Landau equation is investigated in the presence of a small external field. The evolution law conserves the spin, but is not reversible. A nonlinear diffusion equation of divergence type is obtained in the hydrodynamic limit. The proof extends to certain stochastically perturbed Hamiltonian systems.