Double Bubble Experiments in the Three-Torus

Brubaker, Nicholas D.; Carter, Stephen; Evans, S. M.; Kravatz, Daniel E.; Linn, Sherry; Peurifoy, Stephen W.; Walker, Ryan

doi:10.1080/10724117.2008.11974768

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2009

2016

Publication Types

Select...

Article1

Book1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These numerical results suggest 10 different qualitative forms taken by the double bubble, depending upon the two bubble volumes relative to the volume of the torus. Interesting physical experiments have also been reported (Brubaker et al 2008).…”

Section: Introductionmentioning

confidence: 99%

Domain walls and double bubbles

Gillard

Sutcliffe

2009

Proc. R. Soc. A.

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%