On energy minimizers of the diblock copolymer problem

By Xiaofeng Ren, Jun-cheng Wei. 2003

89 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/c242206c18a3805912c3cec7a9ba0882042f9541

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Rustum Choksi
2. Felix Otto
3. Mathieu Lewin
4. Xavier Blanc
5. Giovanni S. Alberti
6. Luigi Ambrosio
7. José Antonio Carrillo
8. Cédric Villani

In Condensed Matter Physics

1. Rustum Choksi
2. Felix Otto
3. Mathieu Lewin
4. Xavier Blanc

In Materials Chemistry

1. Rustum Choksi
2. Felix Otto
3. Mathieu Lewin
4. Xavier Blanc
5. Giovanni S. Alberti

Citations in the corpus

• Uniform energy distribution for an isoperimetric problem with long-range interactions (2008, background): “In particular, there has been work in one space dimension (see for example [19, 20, 22, 4]), on rigorous scaling laws ([6]), and also much work, especially by Ren and Wei, on local minimizers (see for example [23, 24, 5, 10]).”
• The Crystallization Conjecture: A Review (2015, background): “e F is a non-negative function having as unique minimum points u = ±1. In the limit ε → 0, this problem becomes equivalent to (45). In dimension one, it has been proved that the minimizer is periodic [181, 11, 199, 53, 252, 112] if u¯ = 0, for all ε > 0. Very few results exist in higher dimension”