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Mesoscopic Modeling for Continuous Spin Lattice Systems: Model Problems and Micromagnetics Applications

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Abstract

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

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003–9305, USA

    Markos A. Katsoulakis & Dimitrios K. Tsagkarogiannis

  2. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

    Petr Plecháč

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  1. Markos A. Katsoulakis
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  2. Petr Plecháč
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  3. Dimitrios K. Tsagkarogiannis
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Correspondence to Markos A. Katsoulakis.

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Katsoulakis, M.A., Plecháč, P. & Tsagkarogiannis, D.K. Mesoscopic Modeling for Continuous Spin Lattice Systems: Model Problems and Micromagnetics Applications. J Stat Phys 119, 347–389 (2005). https://doi.org/10.1007/s10955-004-2126-6

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  • DOI: https://doi.org/10.1007/s10955-004-2126-6

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