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Markos A. Katsoulakis, Petr Plechac, Dimitrios K. Tsagkarogiannis:Mesoscopic modeling for continuous spin lattice systems: Model problems and micromagnetics application.In this paper we derive deterministic mesoscopic theories for model continuous spin lattice systems both at equilibrium and non-equilibrium in the presence of thermal fluctuations. The full magnetic Hamiltonian that includes singular integral (dipolar) interactions is also considered at equilibrium. The non-equilibrium microscopic models we consider are relaxation-type dynamics arising in kinetic Monte Carlo or Langevin-type simulations of lattice systems. In this context we also employ the derived mesoscopic models to study the relaxation of such algorithms to equilibrium.Bibliographical note: J. Stat. Phys., 119, 1-2, 347-389, (2005) |