SIAM Journal on Mathematical Analysis, Volume 52, Issue 3, Page 2531-2560, January 2020.
In this paper we study pattern formation for a physical local/nonlocal interaction functional where the local attractive term is given by the 1-perimeter and the nonlocal repulsive term is the Yukawa (or screened Coulomb) potential. This model is physically interesting as it is the $\Gamma$-limit of a double Yukawa model used to explain and simulate pattern formation in colloidal systems. Following a strategy introduced in [S. Daneri and E. Runa, Arch. Ration. Mech. Anal., 231 (2019), pp. 519--589] we prove that in a suitable regime minimizers are periodic stripes in any space dimension.

中文翻译：

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胶体系统中局部/非局部相互作用功能的模式形成

SIAM数学分析杂志，第52卷，第3期，第2531-2560页，2020
年1月。在本文中，我们研究了物理局部/非局部相互作用函数的模式形成，其中局部吸引项由1周长和非局部给定排斥词是汤河（或屏蔽的库仑）势。该模型在物理上很有趣，因为它是双重Yukawa模型的$ \ Gamma-极限，用于解释和模拟胶体系统中的图案形成。遵循[S. Daneri和E.Runa，拱门。配给。机甲 Anal。，231（2019），pp。519--589]我们证明，在适当的情况下，最小化器是任何空间维度上的周期性条纹。