Domain walls and double bubbles
Domain walls and double bubbles
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DOI：
10.1098/rspa.2009.0227
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发表时间：
2009-03
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影响因子：
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通讯作者：
M. Gillard;P. Sutcliffe
中科院分区：
文献类型：
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作者：
M. Gillard;P. Sutcliffe
本文研究了三真空Wess-Zumino模型中相交畴壁的位形。我们介绍了一个体积保持流，并表明其静态解决方案是相交的域壁，形成双气泡，也就是说，最小面积的表面，封闭和分离两个规定的体积的配置。为了说明这个领域的理论方法，双泡，我们使用域壁重建相图的双泡在平坦的正方形两个环面，也构造所有已知的例子，双泡在平坦的立方三环面。
We study configurations of intersecting domain walls in a Wess–Zumino model with three vacua. We introduce a volume-preserving flow and show that its static solutions are configurations of intersecting domain walls that form double bubbles, that is, minimal area surfaces which enclose and separate two prescribed volumes. To illustrate this field theory approach to double bubbles, we use domain walls to reconstruct the phase diagram for double bubbles in the flat square two-torus and also construct all known examples of double bubbles in the flat cubic three-torus.