Local and Nonlocal Continuum Limits of Ising-Type Energies for Spin Systems
نویسندگان
چکیده
منابع مشابه
Local and Nonlocal Continuum Limits of Ising-Type Energies for Spin Systems
We study, through a Γ-convergence procedure, the discrete to continuum limit of Ising type energies of the form Fε(u) = − ∑ i,j ci,juiuj , where u is a spin variable defined on a portion of a cubic lattice εZ ∩ Ω, Ω being a regular bounded open set, and valued in {−1, 1}. If the constants ci,j are non negative and satisfies suitable coercivity and decay assumptions, we show that all possible Γ-...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2016
ISSN: 0036-1410,1095-7154
DOI: 10.1137/140997373